Updated on 2022/07/13

写真a

 
TAKAHASHI Futoshi
 
Organization
Graduate School of Science Department of Mathematics Professor
School of Science Department of Mathematics
Title
Professor
Affiliation
Institute of Science
Profile
I am interested in and studying analysis.

Position

  • Graduate School of Science Department of Mathematics 

    Professor  2022.04 - Now

  • School of Science Department of Mathematics 

    Professor  2022.04 - Now

Degree

  • 博士(理学) ( Tokyo Institute of Technology )

Research Areas

  • Natural Science / Mathematical analysis

  • Natural Science / Basic analysis

Research Interests

  • variational methods

  • elliptic partial differential equations

Research subject summary

  • I am mainly studying analysis. Especially, I am interested in partial differential equations with variational structures those appear in mathematical physics or differential geometry.

Research Career

  • Blow up analysis for variational problems of critical type and the qualitative properties of solutions caused by blowing-up phenomena

    variational problem, blow up analysis, qualitative property  Individual

    2008.04 

Professional Memberships

  • Mathematical Society of Japan

      Domestic

Committee Memberships (off-campus)

  • Councilor(Hanshin Division)   Mathematical Society of Japan  

    2010 

  • Delegate(Hanshin Division)   Mathematical Society of Japan  

    2009 

Awards

  • The 20th Analysis Prize (Mathematical Society of Japan)

    2021.09  

     More details

    Country:Japan

  • 大阪市立大学教育後援会「優秀教育賞」

    2017.11  

  • Mathematical Society of Japan, 3rd Fukuhara Prize

    Futoshi Takahashi

    2011.12   Mathematical Society of Japan,Division of Functional Equations   Study of non-degenerate critical points related to nonlinear elliptic equations

     More details

    Country:Japan

Job Career (off-campus)

  • キヤノン株式会社   -

    1987 - 1990

Education

  • Tokyo Institute of Technology   Mathematics     Accomplished credits for doctoral program

    - 2002

  • The University of Tokyo   Department of Basic science     Graduated/Completed

    - 1987

Papers

  • Sharp Hardy-Leray and Rellich-Leray inequalities for curl-free vector fields Reviewed

    Naoki Hamamoto, Futoshi Takahashi

    Mathematische Annalen   379 ( 1 )   719 - 742   2021.02

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Joint Work  

    DOI: 10.1007/s00208-019-01945-x

  • Sharp Hardy-Leray inequality for curl-free fields with a remainder term Reviewed

    Naoki Hamamoto, Futoshi Takahashi

    Journal of Functional Analysis   280 ( 108790 )   1 - 24   2021.01

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Joint Work  

  • Finsler Hardy inequalities Reviewed International coauthorship

    A. Mercaldo, M. Sano, F. Takahashi

    Mathematische Nachrichten   293 ( 12 )   2370 - 2398   2020.12

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Joint Work  

  • A characterization of differentiability for the best trace Sobolev constant function Reviewed

    Kazuya Akayama, and Futoshi Takahashi

    RIMS Kokyuroku Bessatsu   B82   87 - 101   2020.09

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Joint Work  

  • Sharp Hardy-Leray inequality for three-dimensional solenoidal fields with axisymmetric swirl Reviewed

    Naoki Hamamoto, and Futoshi Takahashi

    Communications of Pure and Applied Analysis   19 ( 6 )   3209 - 3222   2020.06

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Joint Work  

  • Hardy's inequality in a limiting case on general bounded domains Reviewed International coauthorship

    Jaeyoung Byeon, Futoshi Takahashi

    COMMUNICATIONS IN CONTEMPORARY MATHEMATICS   21 ( 8 )   2019.12( ISSN:0219-1997

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Joint Work  

    DOI: 10.1142/S0219199718500700

  • Critical and subcritical fractional Trudinger-Moser type inequalities on $\mathbb{R}$ Reviewed

    Futoshi Takahashi

    Advances in Nonlinear Analysis   8   868 - 884   2019

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

    DOI: 10.1515/anona-2017-0116

  • Weighted Hardy's inequality in a limiting case and the perturbed Kolmogorov equation Reviewed

    Megumi Sano, Futoshi Takahashi

    Applicable Analysis   98 ( 10 )   1875 - 1888   2019

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Joint Work  

    DOI: 10.1080/00036811.2018.1471208

  • Finsler Hardy-Kato's inequality Reviewed International coauthorship

    A. Alvino, A. Ferone, A. Mercaldo, F. Takahashi, R. Volpicelli

    Journal of Mathematical Analysis and Applications   470 ( 1 )   360 - 374   2019

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Joint Work  

  • On a weighted Trudinger-Moser type inequality on the whole space and related maximizing problem Reviewed International coauthorship

    Van Hoang Nguyen, Futoshi Takahashi

    Differential and Integral Equations   31 ( 11-12 )   785 - 806   2018

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Joint Work  

  • Some improvements for a class of the Caffarelli-Kohn-Nirenberg inequalities Reviewed

    Megumi Sano, and Futoshi Takahashi

    Differential and Integral Equations   31 ( 1-2 )   57 - 74   2018

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Joint Work  

  • Scale invariance structures of the critical and the subcritical Hardy inequalities and their improvements Reviewed

    CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS   56 ( 3 )   1 - 14   2017.06( ISSN:0944-2669

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Joint Work  

    DOI: 10.1007/s00526-017-1166-0

  • Topics of Stable Solutions to Elliptic Equations Invited Reviewed

    Futoshi Takahashi

    Sugaku   69 ( 1 )   31 - 55   2017.01

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

  • Improved Rellich type inequalities in $\mathbb{R}^N$ Reviewed

    Megumi Sano, and Futoshi Takahashi

    Springer Proceedings in Math. and Statics   176   241 - 255   2016

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Joint Work  

  • Sublinear eigenvalue problems with singular weights related to the critical Hardy inequality Reviewed

    Megumi Sano, and Futoshi Takahashi

    Electronic Journal of Differential Equations   2016 ( 212 )   1 - 12   2016

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Joint Work  

  • Lyapunov inequality for an elliptic problem with the Robin boundary condition Reviewed

    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS   129   189 - 197   2015.12( ISSN:0362-546X

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Joint Work  

    DOI: 10.1016/j.na.2015.08.006

  • Extremal solutions to Liouville-Gelfand type elliptic problems with nonlinear Neumann boundary conditions Reviewed

    COMMUNICATIONS IN CONTEMPORARY MATHEMATICS   17 ( 3 )   1 - 27   2015.06( ISSN:0219-1997

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

    DOI: 10.1142/S0219199714500163

  • Blow up points and the Morse indices of solutions to the Liouville equation: inhomogeneous case Reviewed

    NONLINEAR DYNAMICS IN PARTIAL DIFFERENTIAL EQUATIONS   64   175 - 182   2015

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

  • Singular extremal solutions to a Liouville-Gelfand type problem with exponential nonlinearity Reviewed

    Futoshi Takahashi

    10th AIMS proceedings, Dynamical Systems, Differential Equations and Applications 2015   2015   1025 - 1033   2015

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

  • Local asymptotic nondegeneracy for multi-bubble solutions to the biharmonic Liouville-Gel'fand problem in dimension four Reviewed

    Hiroshi Ohtsuka, and Futoshi Takahashi

    Differential and Integral Equations   28 ( 7-8 )   801 - 822   2015

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Joint Work  

  • A simple proof of Hardy's inequality in a limiting case Reviewed

    Archiv der Math.   104 ( 1 )   77 - 82   2015

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

  • NONEXISTENCE OF POSITIVE VERY WEAK SOLUTIONS TO AN ELLIPTIC PROBLEM WITH BOUNDARY REACTIONS Reviewed

    KODAI MATHEMATICAL JOURNAL   37 ( 3 )   755 - 768   2014( ISSN:0386-5991

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

    DOI: 10.2996/kmj/1414674620

    CiNii Article

  • Asymptotic behavior of least energy solutions for a 2D nonlinear Neumann problem with large exponent Reviewed

    Journal of Mathematical Analysis and Applications   411 ( 1 )   95 - 106   2014

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

  • On the location of two blow up points on an annulus for the mean field equation Reviewed International coauthorship

    Comptes Rendus Acad. Sci. Paris Ser. I   352 ( 7-8 )   615 - 619   2014

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Joint Work  

  • Continuum spectrum for the linearized extremal eigenvalue problem with boundary reactions Reviewed

    Mathematica Bohemica   139 ( 2 )   137 - 144   2014

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

  • Some identities of Green's function for the polyharmonic operator with the Navier boundary conditions and its applications Reviewed

    MATHEMATISCHE NACHRICHTEN   286 ( 2-3 )   306 - 319   2013.02( ISSN:0025-584X

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

    DOI: 10.1002/mana.201100236

  • On the number of maximum points of least energy solutions to a two-dimensional H'enon equation Reviewed

    Communications on Pure and Applied Analysis   12 ( 3 )   1237 - 1241   2013

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

  • Nonexistence of multi-bubble solutions for a higher order mean field equation on convex domains Invited Reviewed

    Springer INdAM series,``Geometric Properties of Parabolic and Elliptic PDE's"   2   283 - 293   2013

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

  • Morse indices and the number of blow up points of blowing-up solutions for a Liouville equation with singular data Reviewed

    Discrete and Continuous Dynamical Systems, Supplement   2013   729 - 736   2013

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

  • Blow up Points and the Morse Indices of Solutions to the Liouville Equation in Two-Dimension Reviewed

    ADVANCED NONLINEAR STUDIES   12 ( 1 )   115 - 122   2012.02( ISSN:1536-1365

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

  • A regularity criterion to the biharmonic map heat flow in $mathbb{R}^4$ Reviewed International coauthorship

    Mathematische Nachrichten   285 ( 16 )   1963 - 1968   2012

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Joint Work  

  • AN EIGENVALUE PROBLEM RELATED TO BLOWING-UP SOLUTIONS FOR A SEMILINEAR ELLIPTIC EQUATION WITH THE CRITICAL SOBOLEV EXPONENT Reviewed

    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S   4 ( 4 )   907 - 922   2011.08( ISSN:1937-1632

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

    DOI: 10.3934/dcdss.2011.4.907

  • A Payne-Rayner Type Inequality for the Robin Problem on Arbitrary Minimal Surfaces in R-N Reviewed

    RESULTS IN MATHEMATICS   59 ( 1-2 )   107 - 114   2011.02( ISSN:1422-6383

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Joint Work  

    DOI: 10.1007/s00025-010-0064-y

  • Vanishing $p$-capacity of the singular sets for $p$-harmonic functions Reviewed

    Electronic Journal of Differential Equations   2011 ( 67 )   1 - 15   2011

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Joint Work  

  • An eigenvalue problem related to the critical Sobolev exponent: variable coefficient case Reviewed

    Differential and Integral Equations   23 ( 42988 )   827 - 860   2010

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

  • Non-degeneracy of least-energy solutions for an elliptic problem with nearly critical nonlinearity Reviewed

    PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS   140 ( 1 )   203 - 222   2010( ISSN:0308-2105

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

    DOI: 10.1017/S0308210509000419

  • Spectral estimates of least energy solutions to the Brezis-Nirenberg problem with a variable coefficient Reviewed

    Journal of Differential Equations   248 ( 10 )   2497 - 2527   2010

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

  • EXISTENCE OF MULTIPLE SOLUTIONS FOR A NONLINEARLY PERTURBED ELLIPTIC PARABOLIC SYSTEM IN R-2 Reviewed

    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS   2009 ( 32 )   1 - 10   2009.02( ISSN:1072-6691

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Joint Work  

  • A nondegeneracy result for least energy soultions to a biharmonic problem with nearly critical exponent Reviewed

    RIMS Kokyuroku Bessatsu   15   73 - 85   2009

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Joint Work  

  • Asymptotic Uniqueness for a Biharmonic Equation with Nearly Critical Growth on Symmetric Convex Domains Reviewed

    FUNKCIALAJ EKVACIOJ   52 ( 2 )   213 - 232   2009( ISSN:0532-8721

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Joint Work  

    DOI: 10.1619/fesi.52.213

    CiNii Article

  • Morse indices and the number of maximum points of solutions to a two-dimensional elliptic problems Reviewed

    Archiv der Mathematik (Basel)   93 ( 2 )   191 - 197   2009

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

  • Global existence of solutions for a nonlinearly perturbed Keller-Segel system in $mathbb{R}^2$ Reviewed

    Zeischrift f"ur angewandte Mathematik und Physik (ZAMP)   60 ( 5 )   840 - 867   2009

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Joint Work  

  • Asymptotic Nondegeneracy of Least Energy Solutions to an Elliptic Problem with Critical Sobolev Exponent Reviewed

    Futoshi Takahashi

    ADVANCED NONLINEAR STUDIES   8 ( 4 )   783 - 797   2008.11( ISSN:1536-1365

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

  • An asymptotic nondegeneracy result for a biharmonic equation with the nearly critical growth Reviewed

    Nonlinear Differential Equations and Applications (NoDEA)   15 ( 42830 )   623 - 637   2008

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

  • Capacity estimate for the blow-up set of parabolic equations Reviewed

    Mathematische Zeitschrift   259 ( 4 )   867 - 878   2008

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Joint Work  

  • Asymptotic uniqueness of solutions for an elliptic problem with nearly critical growth on symmetric domains Reviewed

    Communications on Applied Nonlinear Analysis   15 ( 3 )   1 - 18   2008

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Joint Work  

  • Asymptotic nondegeneracy of least energy solutions to an elliptic problem with the critical Sobolev exponent Reviewed

    Advanced Nonlinear Studies   8 ( 4 )   783 - 797   2008

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

  • Asymptotic behavior of least energy solutions for a biharmonic problem with nearly critical growth Reviewed

    Asymptotic Analysis   60 ( 42798 )   213 - 226   2008

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

  • Nonlinear eigenvalue problem with quantization Invited Reviewed

    Handbook of Differential Equations, Vol.5 Stationary Partial Differential Equations   277 - 370   2008( ISBN:9780444532176

     More details

    Kind of work:Joint Work  

  • On the Lagrange multiplier of a minimization problem related to the isoperimetric inequality Reviewed

    Takahashi Futoshi

    APPLIED MATHEMATICS LETTERS   20 ( 12 )   1216 - 1217   2007.12( ISSN:0893-9659

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

    DOI: 10.1016/j.aml.2006.12.012

  • Single-point condensation phenomena for a four-dimensional biharmonic Ren-Wei problem Reviewed

    Takahashi Futoshi

    CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS   29 ( 4 )   509 - 520   2007.08( ISSN:0944-2669

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

    DOI: 10.1007/s00526-006-0080-7

  • On the shape of level sets of least energy solutions to some elliptic problems with nearly critical growth Reviewed

    APPLICABLE ANALYSIS   86 ( 7 )   851 - 859   2007( ISSN:0003-6811

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

    DOI: 10.1080/00036810701460826

  • Mean field equation for equilibrium vortices with neutral orientation Reviewed

    Nonlinear Analysis: Theory, Methods Applications   66 ( 2 )   509 - 526   2007

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Joint Work  

  • Single-point condensation phenomena for a four-dimensional biharmonic Ren-Wei problem Reviewed

    Calculus of Variations and Partial Differential Equations   29 ( 4 )   509 - 520   2007

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

  • Concentration phenomena in the conformal Brezis-Nirenberg problem Invited Reviewed

    Advanced Studies in Pure Mathematics, ``Asymptotic Analysis and Singularities"   47 ( 2 )   767 - 783   2007( ISBN:9784931469419

     More details

    Kind of work:Single Work  

  • On the Lagrange multiplier of a minimization problem related to the isoperimetric inequality Reviewed

    Applied Mathematics Letters   20 ( 12 )   1216 - 1217   2007

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

  • An isoperimetric inequality for mappings with remainder term Reviewed

    Communications in Contemporary Math.   8 ( 3 )   401 - 410   2006

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

  • Concentration points of least energy solutions to the Brezis-Nirenberg equation with variable coefficients Reviewed

    Banach Center Publications, ``Self-Similar Solutions of Nonlinear PDE"   74   217 - 234   2006

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

  • Asymptotic behavior of least energy solutions to a four-dimensional biharmonic semilinear problem

    Osaka Journal of Mathematics   42 ( 3 )   633 - 651   2005

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

  • On the location of blow up points of least energy solutions to the Brezis-Nirenberg equation Reviewed

    Funkcialaj Ekvac.   47 ( 1 )   145 - 166   2004

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

  • Non-topological condensates in self-dual Chern-Simons gauge theory Reviewed

    Banach Center Publications,``Nonlocal Elliptic and Parabolic Problems"   66   317 - 336   2004

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Joint Work  

  • Existence of the non-topological condensate in the self-dual Chern-Simons gauge theory Reviewed

    Advances in Differential Equations   9 ( 42861 )   539 - 562   2004

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Joint Work  

  • Asymptotic behavior of large solutions to H-systems with perturbations Reviewed

    Nonlinear Analysis, Theory, Methods and Applications   58 ( 3-4 )   459 - 475   2004

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

  • Multiple solutions of inhomogeneous H-systems with zero Dirichlet boundary conditions Reviewed

    Nonlinear Analysis:Theory, Methods and Applications   52 ( 1 )   239 - 259   2003

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

  • Multiple solutions of H-systems on some multiply-connected domains Reviewed

    Advances in Differential Equations   7 ( 3 )   365 - 384   2002

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

  • A minimization problem related to the isoperimetric inequality for $H_0^1$-mappings Reviewed

    Advances in Math. Sci. Appl.   12 ( 1 )   467 - 476   2002

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

▼display all

Books and Other Publications

MISC

Presentations

  • Sharp Hardy-Leray inequalities for curl-free vector fields Invited International conference

    Futoshi Takahashi

    IMPAN (Institute of Mathematics Polish Academy of Science, Warsaw) Simons semester ``Geometry and analysis in function and mapping theory on Euclidean and metric measure spaces"  2019.10 

     More details

    Presentation type:Oral presentation (general)  

  • Sharp Hardy-Leray inequalities for curl-free vector fields Invited International conference

    Futoshi Takahashi

    11th Brazilian-Italian Workshop on Nonlinear Differential Equations (Varese, Italy)  2019.07 

     More details

    Presentation type:Oral presentation (general)  

  • Sharp Hardy-Leray inequalities for curl-free vector fields Invited International conference

    Futoshi Takahashi

    6th Italian-Japanese workshop on ``Geometric Properties for Parabolic and Elliptic PDE's" (Cortona, Italy)   2019.05 

     More details

    Presentation type:Oral presentation (general)  

  • Sharp Hardy-Leray inequalities for curl-free vector fields Invited International conference

    Futoshi Takahashi

    2019.03 

     More details

    Presentation type:Oral presentation (general)  

  • curl-free ベクトル場に対する Hardy-Leray 及び Rellich-Leray 不等式について Domestic conference

    濱本直樹、高橋太

    日本数学会秋季総合分科会函数方程式論分科会  2018.09  日本数学会

     More details

    Presentation type:Oral presentation (general)  

    Venue:岡山大学  

  • 一般有界領域上での臨界 Hardy 不等式について Domestic conference

    Jaeyoung Byeon、高橋太

    日本数学会秋季総合分科会函数方程式論分科会  2018.09  日本数学会

     More details

    Presentation type:Oral presentation (general)  

    Venue:岡山大学  

  • Sharp Hardy-Leray and Rellich-Leray inequalities for curl-free vector fields Invited International conference

    Naoki Hamamoto, Futoshi Takahashi

    PDEs and Mathematical Hydrodynamics: A conference in Honor of Vsevolod Alekseevich Solonnikov's 85'th Birthday  2018.07 

     More details

    Presentation type:Oral presentation (general)  

    Venue:Euler International Mathematical Institute, St. Petersburg, Russia  

  • Hardy's inequality in a limiting case on general bounded domains Invited International conference

    Jaeyoung Byeon, Futoshi Takahashi

    The 12th AIMS Conference on Dynamical Systems,Differential Equations and Applications  2018.07  American Institute of Mathematical Sciences

     More details

    Presentation type:Oral presentation (general)  

    Venue:National Taiwan University  

  • Critical and subcritical fractional Trudinger-Moser type inequalities on $\mathbb{R}$ Invited International conference

    Futoshi Takahashi

    The 12th AIMS Conference on Dynamical Systems,Differential Equations and Applications  2018.07  American Institute of Mathematical Sciences

     More details

    Presentation type:Oral presentation (general)  

    Venue:National Taiwan University  

  • Hardy's inequality in a limiting case on general bounded domains Invited International conference

    Jaeyoung Byeon, Futoshi Takahashi

    UK-Japan Workshop on ``Analysis of Nonlinear Partial Differential Equations  2018.05 

     More details

    Presentation type:Oral presentation (general)  

    Venue:Swansea University, Wales, UK  

  • Hardy's inequality in a limiting case on general bounded domains Invited Domestic conference

    Jaeyoung Byeon, Futoshi Takahashi

    AMS Sectional Meeting Special Session ``Partial Differential Equations and New Perspective of Variational Methods"  2018.04  American Mathematical Society

     More details

    Presentation type:Oral presentation (general)  

    Venue:Vanderbilt University, Nashville  

  • Critical and subcritical fractional Trudinger-Moser type inequalities on $\mathbb{R}$ Invited International conference

    Futoshi Takahashi

    The 10th Workshop on Nonlinear Differential Equations (Xth WNDE)  2017.09 

     More details

    Presentation type:Oral presentation (general)  

    Venue:University of Brasilia, Brasil  

  • Critical and subcritical fractional Trudinger-Moser type inequalities on $\mathbb{R}$ Invited International conference

    Futoshi Takahashi

    2017 International Workshop on Nonlinear PDE and Applications  2017.03 

     More details

    Presentation type:Oral presentation (general)  

    Venue:KAIST, Korea  

  • Sublinear eigenvalue problems with singular weights related to the critical Hardy inequality Domestic conference

    佐野めぐみ、高橋太

    日本数学会春季年会函数方程式論分科会  2017.03  日本数学会

     More details

    Presentation type:Oral presentation (general)  

    Venue:首都大学東京  

  • Critical and subcritical fractional Trudinger-Moser type inequalities on $\mathbb{R}$ Invited International conference

    Futoshi Takahashi

    International Conference on ``PDEs, Geometric Analysis and Functional Inequalities"  2017.03 

     More details

    Presentation type:Oral presentation (general)  

    Venue:University of Sydney  

  • Some Trudinger-Moser type inequalities on the whole space and their (non-) existence of maximizers Invited International conference

    FutoshiTakahashi

    Roma Caput PDE  2017.01 

     More details

    Presentation type:Oral presentation (general)  

    Venue:Universit\'a di Roma, La Sapienza  

  • Some improvements of the Caffarelli-Kohn-Nirenberg type inequalities International conference

    Megumi Sano, Futoshi Takahashi

    The 11th AIMS Conference on Dynamical Systems, Differential Equations and Applications  2016.07  American Institute of Mathematical Sciences

     More details

    Presentation type:Oral presentation (general)  

    Venue:Florida, Orlando  

  • Scale invariance structures of the critical and the subcritical Hardy inequalities and their improvements Domestic conference

    佐野めぐみ、高橋太

    日本数学会春季年会函数方程式論分科会  2016.03  日本数学会

     More details

    Presentation type:Oral presentation (general)  

    Venue:筑波大学  

▼display all

Grant-in-Aid for Scientific Research

  • 臨界型非線形数理モデルにおける高次数理解析法の創造

    Grant-in-Aid for Scientific Research(S)  2019.06

  • 臨界型変分問題における領域の幾何の影響-解空間大域構造とコンパクト性喪失機構-

    Grant-in-Aid for Scientific Research(B)  2019.04

  • Analysis of singular nonlinear structure in dissipative systems

    Grant-in-Aid for Scientific Research(A)  2017.04

  • 変分汎関数の高次情報が拓く楕円型偏微分方程式の解の大域的・幾何学的構造

    Grant-in-Aid for Scientific Research(B)  2015.04

  • 実解析的関数空間で機能する未開拓変分原理の探索

    Grant-in-Aid for Challenging Research (Pioneering)/(Exploratory)  2014.04

  • Elucidations on unexplored regions of problems related to the criticality of nonlinear dissipative and dispersive structures in mathematical models

    Grant-in-Aid for Scientific Research(S)  2013.05

  • リウビル・ゲルファント型問題の解の正則性理論の新展開と関連する放物型力学系

    Grant-in-Aid for Challenging Research (Pioneering)/(Exploratory)  2012.04

  • 質量・エネルギーの集中現象を伴う臨界型変分問題の大域・漸近解析

    基盤(B)一般  2011.04

  • 臨界型変分問題の爆発解析および爆発に起因する解の定性的性質の研究

    基盤(C)一般  2008.04

  • ゲージ理論にあらわれる非線形楕円型方程式の解の構成およびその熱流の漸近挙動の研究

    基盤(C)一般  2005.04

▼display all

Outline of education staff

  • 全学共通教育の数学科目、理学部数学科専門科目及び大学院講義を担当しています。ルベーグ積分論を扱う「解析学Ⅳ」は数学科ならではの講義の一つですが、直観と議論の厳密性のバランスを心がけて講義しています。

Charge of on-campus class subject

  • 解析学Ⅱ(演習付き)

    2019     Undergraduate

  • Advanced Research Course for Master's Thesis of Science

    2018     Graduate school

  • Introduction to Mathematics II

    2018     Graduate school

  • Senior Thesis

    2018     Undergraduate

  • Lectures on Analysis IV

    2018     Undergraduate

  • Advanced Analysis IV

    2018     Graduate school

  • Analysis III

    2018     Undergraduate

  • Analysis I

    2018     Undergraduate

  • Analysis II with Exercise

    2018     Undergraduate

  • 初年次セミナー

    2018     Undergraduate

  • Advanced Research Course for Master's Thesis of Science

    2017     Graduate school

  • Senior Thesis

    2017     Undergraduate

  • Analysis III with Exercise

    2017     Undergraduate

  • Partial Differential Equations

    2017     Undergraduate

  • 初年次セミナー

    2017     Undergraduate

  • Advanced Research Course for Master's Thesis of Science

    2016     Graduate school

  • Senior Thesis

    2016     Undergraduate

  • Analysis I with Exercise

    2016     Undergraduate

  • Fundamentals of Mathematics B

    2016     Undergraduate

  • 初年次セミナー

    2016     Undergraduate

  • 初年次セミナー

    2015     Undergraduate

  • 初年次セミナー

    2014     Undergraduate

  • 初年次セミナー

    2013     Undergraduate

  • 初年次セミナー

    2012     Undergraduate

  • 初年次セミナー

    2011     Undergraduate

▼display all

Faculty development activities

  • FD活動への貢献  2019

  • FD活動への貢献  2018

     More details

    理学研究科公開授業(数学概論Ⅱ)への協力

  • FD活動への貢献  2017

     More details

    理学研究科FD委員会委員長

Original item・Special report (Education Activity)

  • 2019

  • 2018

      More details

    Original item:オフィスアワーの実施

  • 2017

      More details

    Original item:オフィスアワーの実施

Social Activities

  • 科学技術振興機構スーパーサイエンスハイスクール(SSH)事業

    大阪府立大手前高等学校  関西学院大学上ヶ原キャンパス  2019.08

     More details

    Audience: High school students

    Type:Research consultation

    第11回マスフェスタ(全国数学生徒研究発表会)助言・指導

  • 科学技術振興機構スーパーサイエンスハイスクール(SSH)事業

    Role(s): Consultant

    大阪府立大手前高等学校  関西学院大学上ヶ原キャンパス中央講堂  2018.08

     More details

    Audience: High school students

    Type:Research consultation

    第10回マスフェスタ(全国数学生徒研究発表会)助言・指導

  • 科学技術振興機構スーパーサイエンスハイスクール(SSH)事業

    Role(s): Consultant

    大阪府立大手前高等学校  関西学院大学上ヶ原キャンパス中央講堂  2017.08

     More details

    Audience: High school students

    Type:Research consultation

    第9回マスフェスタ(全国数学生徒研究発表会)助言・指導

  • JST次世代育成事業「女子中高生のための関西科学塾」

    Role(s): Lecturer

    大阪大学  大阪市立大学  2016.11

     More details

    Audience: Junior high school students, High school students

    Type:Visiting lecture

    Number of participants:14(人)

    「メビウスの輪の不思議-作る・つなげる・切る」担当講師

  • 科学技術振興機構スーパーサイエンスハイスクール(SSH)事業

    Role(s): Consultant

    大阪府立大手前高等学校  京都大学百周年時計台記念館  2016.08

     More details

    Audience: High school students

    Type:Research consultation

    第8回マスフェスタ(全国数学生徒研究発表会)の助言・指導

  • 科学技術振興機構スーパーサイエンスハイスクール(SSH)事業

    Role(s): Consultant

    大阪府立大手前高等学校  エル・おおさか  2015.08

     More details

    Audience: High school students

    Type:Research consultation

    第7回マス・フェスタ(全国数学生徒研究発表会)指導助言

  • 科学技術振興機構スーパーサイエンスハイスクール(SSH)事業

    Role(s): Consultant

    大阪府立大手前高等学校  エル・おおさか  2014.08

     More details

    Audience: High school students

    Type:Cooperation with government and educational institutions

    大阪府立大手前高等学校SSH事業 2014年8月23日マス・フェスタ(全国数学生徒研究発表会)指導助言

  • 科学技術振興機構スーパーサイエンスハイスクール(SSH)事業

    Role(s): Lecturer

    2012.07

     More details

    Audience: High school students

    Type:Cooperation with government and educational institutions

    大阪府立三国丘高等学校SSH事業 2012年7月30日模擬授業と4回生との懇談

  • 出張授業

    Role(s): Lecturer

    雲雀丘学園高校  2010.07

     More details

    Audience: High school students

    Type:Visiting lecture

    2010年7月10日 雲雀丘学園高校 出張授業『円周率から始まる数学の世界』

▼display all

Foreigner acceptance

  • 2019

    foreigners accepted :2

    International Students :1

  • 2018

    foreigners accepted :3

    International Students :1

  • 2017

    foreigners accepted :17

    International Students :0

  • 2016

    foreigners accepted :8

    International Students :0

  • 2015

    foreigners accepted :2

    International Students :0

  • 2014

    foreigners accepted :7

    International Students :0

▼display all

International exchange activities

  • 国際研究集会 The 5th Italian-Japanese Workshop on Geometric Properties of Parabolic and Elliptic PDE's の主催(於大阪市立大学)

    Field category :Research

    Country name :Italy, France, Korea   2017.05

Other

  • Job Career

    2009

      More details

    Osaka City University

  • Job Career

    2007

      More details

    Osaka City University

  • Job Career

    2005

      More details

    Osaka City University