Edit Profile (opens in new tab) Takahashi, Futoshi Compute Distance To: Compute Author ID: takahashi.futoshi Published as: Takahashi, Futoshi Documents Indexed: 76 Publications since 1998 1 Contribution as Editor Co-Authors: 24 Co-Authors with 35 Joint Publications 514 Co-Co-Authors all top 5 Co-Authors 39 single-authored 6 Sano, Megumi 6 Suzuki, Takashi 4 Hamamoto, Naoki 4 Sato, Tomohiko 3 Ogawa, Takayoshi 2 Grossi, Massimo 1 Akayama, Kazuya 1 Alvino, Angelo 1 Byeon, Jaeyoung 1 Fan, Jishan 1 Ferone, Adele 1 Ferone, Vincenzo 1 Gao, Hongjun 1 Habibi, Sadaf 1 Hashizume, Masato 1 Ishiwata, Michinori 1 Kawakami, Tatsuki 1 Kurokiba, Masaki 1 Matsushima, Masaki 1 Mercaldo, Anna 1 Naimen, Daisuke 1 Nguyễn Văn Hoàng 1 Ohtsuka, Hiroshi 1 Sadaf, Habibi 1 Salani, Paolo 1 Sawada, Ken 1 Shimizu, Hisayoshi 1 Uegaki, Akinobu 1 Volpicelli, Roberta all top 5 Serials 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Differential and Integral Equations 4 RIMS Kokyuroku 3 Calculus of Variations and Partial Differential Equations 3 Electronic Journal of Differential Equations (EJDE) 3 Discrete and Continuous Dynamical Systems 3 Communications in Contemporary Mathematics 2 Applicable Analysis 2 Journal of Mathematical Analysis and Applications 2 Archiv der Mathematik 2 Funkcialaj Ekvacioj. Serio Internacia 2 Journal of Functional Analysis 2 Mathematische Nachrichten 2 Advances in Differential Equations 2 Advanced Nonlinear Studies 2 Communications on Pure and Applied Analysis 2 RIMS Kôkyûroku Bessatsu 1 Geophysical and Astrophysical Fluid Dynamics 1 Journal of Fluid Mechanics 1 Physics Letters. B 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Journal of Differential Equations 1 Kodai Mathematical Journal 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Osaka Journal of Mathematics 1 Results in Mathematics 1 Applied Mathematics Letters 1 Asymptotic Analysis 1 Sugaku Expositions 1 Mathematica Bohemica 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Advances in Mathematical Sciences and Applications 1 Physics of Fluids 1 NoDEA. Nonlinear Differential Equations and Applications 1 Communications on Applied Nonlinear Analysis 1 Mathematical Inequalities & Applications 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Discrete and Continuous Dynamical Systems. Series S 1 Springer INdAM Series 1 Advances in Nonlinear Analysis 1 SN Partial Differential Equations and Applications all top 5 Fields 69 Partial differential equations (35-XX) 14 Real functions (26-XX) 11 Global analysis, analysis on manifolds (58-XX) 6 Functional analysis (46-XX) 3 Fluid mechanics (76-XX) 3 Quantum theory (81-XX) 2 General and overarching topics; collections (00-XX) 2 Operator theory (47-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Differential geometry (53-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 43 Publications have been cited 196 times in 151 Documents Cited by ▼ Year ▼ Scale invariance structures of the critical and the subcritical Hardy inequalities and their improvements. Zbl 1373.35017Sano, Megumi; Takahashi, Futoshi 31 2017 Nonexistence of multi-bubble solutions to some elliptic equations on convex domains. Zbl 1195.35147Grossi, Massimo; Takahashi, Futoshi 26 2010 A simple proof of Hardy’s inequality in a limiting case. Zbl 1308.35010Takahashi, Futoshi 24 2015 Critical and subcritical fractional Trudinger-Moser-type inequalities on \(\mathbb{R}\). Zbl 1418.35012Takahashi, Futoshi 16 2019 On a weighted Trudinger-Moser type inequality on the whole space and related maximizing problem. Zbl 1463.35026Nguyen, Van Hoang; Takahashi, Futoshi 12 2018 Finsler Hardy-Kato’s inequality. Zbl 1476.46040Alvino, A.; Ferone, A.; Mercaldo, A.; Takahashi, F.; Volpicelli, R. 9 2019 Sublinear eigenvalue problems with singular weights related to the critical Hardy inequality. Zbl 1344.35074Sano, Megumi; Takahashi, Futoshi 8 2016 Improved Rellich type inequalities in \(\mathbb {R}^{N}\). Zbl 1357.35013Sano, Megumi; Takahashi, Futoshi 6 2016 Asymptotic behavior of least energy solutions for a 2D nonlinear Neumann problem with large exponent. Zbl 1312.35113Takahashi, Futoshi 6 2014 Sharp Hardy-Leray inequality for curl-free fields with a remainder term. Zbl 1452.26016Hamamoto, Naoki; Takahashi, Futoshi 5 2021 Dynamo action in a rotating spherical shell at high Rayleigh numbers. Zbl 1187.76512Takahashi, Futoshi; Matsushima, Masaki 5 2005 Single-point condensation phenomena for a four-dimensional biharmonic Ren-Wei problem. Zbl 1186.35017Takahashi, Futoshi 4 2007 Some improvements for a class of the Caffarelli-Kohn-Nirenberg inequalities. Zbl 1424.35009Sano, Megumi; Takahashi, Futoshi 4 2018 Sharp Hardy-Leray inequality for three-dimensional solenoidal fields with axisymmetric swirl. Zbl 1437.35006Hamamoto, Naoki; Takahashi, Futoshi 4 2020 Mean field equation for equilibrium vortices with neutral orientation. Zbl 1387.35257Sawada, Ken; Suzuki, Takashi; Takahashi, Futoshi 3 2007 On the location of blow up points of least energy solutions to the Brezis-Nirenberg equation. Zbl 1155.35006Takahashi, Futoshi 3 2004 Sharp Hardy-Leray and Rellich-Leray inequalities for curl-free vector fields. Zbl 1472.35014Hamamoto, Naoki; Takahashi, Futoshi 3 2021 Blow up points and the Morse indices of solutions to the Liouville equation in two-dimension. Zbl 1253.35023Takahashi, Futoshi 3 2012 Asymptotic behavior of least energy solutions to a four-dimensional biharmonic semilinear problem. Zbl 1165.35352Takahashi, Futoshi 3 2005 Asymptotic behavior of large solutions to \(H\)-systems with perturbations. Zbl 1116.35048Takahashi, Futoshi 3 2004 Lyapunov inequality for an elliptic problem with the Robin boundary condition. Zbl 1328.35030Hashizume, Masato; Takahashi, Futoshi 2 2015 On the location of two blowup points on an annulus for the mean field equation. (Sur l’emplacement de deux points d’explosion sur un annulus pour l’équation de champ moyen.) Zbl 1297.35198Grossi, Massimo; Takahashi, Futoshi 2 2014 A regularity criterion to the biharmonic map heat flow in \(\mathfrak R^{4}\). Zbl 1257.35057Fan, Jishan; Gao, Hongjun; Ogawa, Takayoshi; Takahashi, Futoshi 2 2012 A detailed analysis of a dynamo mechanism in a rapidly rotating spherical shell. Zbl 1248.76158Takahashi, F.; Shimizu, H. 2 2012 Concentration phenomena in the conformal Brezis-Nirenberg problem. Zbl 1133.35371Takahashi, Futoshi 2 2007 Applications of \(p\)-harmonic transplantation for functional inequalities involving a Finsler norm. Zbl 1484.26027Habibi, Sadaf; Takahashi, Futoshi 2 2022 Critical Hardy inequality on the half-space via the harmonic transplantation. Zbl 1504.26036Sano, Megumi; Takahashi, Futoshi 2 2022 Weighted Hardy’s inequality in a limiting case and the perturbed Kolmogorov equation. Zbl 1426.35008Sano, Megumi; Takahashi, Futoshi 1 2019 Hardy’s inequality in a limiting case on general bounded domains. Zbl 1442.35010Byeon, Jaeyoung; Takahashi, Futoshi 1 2019 Extremal solutions to Liouville-Gelfand type elliptic problems with nonlinear Neumann boundary conditions. Zbl 1314.35054Takahashi, Futoshi 1 2015 A minimization problem related to the isoperimetric inequality for \(H_0^1\)-mappings. Zbl 1030.49045Takahashi, Futoshi 1 2002 Concentration points of least energy solutions to the Brezis-Nirenberg equation with variable coefficients. Zbl 1192.35066Takahashi, Futoshi 1 2006 Continuum spectrum for the linearized extremal eigenvalue problem with boundary reactions. Zbl 1340.35236Takahashi, Futoshi 1 2014 Nonlinear eigenvalue problem with quantization. Zbl 1204.35126Suzuki, Takashi; Takahashi, Futoshi 1 2008 Asymptotic nondegeneracy of least energy solutions to an elliptic problem with critical Sobolev exponent. Zbl 1155.35376Takahashi, Futoshi 1 2008 An eigenvalue problem related to blowing-up solutions for a semilinear elliptic equation with the critical Sobolev exponent. Zbl 1214.35040Takahashi, Futoshi 1 2011 A Payne-Rayner type inequality for the Robin problem on arbitrary minimal surfaces in \(\mathbb R^N\). Zbl 1210.35172Takahashi, Futoshi; Uegaki, Akinobu 1 2011 Adiabatic and isocurvature fluctuations of Affleck-Dine field in \(D\)-term inflation model. Zbl 0971.83100Kawasaki, M.; Takahashi, F. 1 2001 Multiple solutions of \(H\)-systems on some multiply-connected domains. Zbl 1126.35325Takahashi, Futoshi 1 2002 On the Lagrange multiplier of a minimization problem related to the isoperimetric inequality. Zbl 1354.49044Takahashi, Futoshi 1 2007 Multiple solutions of inhomogeneous \(H\)-systems with zero Dirichlet boundary conditions. Zbl 1087.35041Takahashi, Futoshi 1 2003 Best constant of the critical Hardy-Leray inequality for curl-free fields in two dimensions. Zbl 1467.35015Hamamoto, Naoki; Takahashi, Futoshi 1 2021 Topics of stable solutions to elliptic equations. Zbl 1471.35139Takahashi, Futoshi 1 2021 Applications of \(p\)-harmonic transplantation for functional inequalities involving a Finsler norm. Zbl 1484.26027Habibi, Sadaf; Takahashi, Futoshi 2 2022 Critical Hardy inequality on the half-space via the harmonic transplantation. Zbl 1504.26036Sano, Megumi; Takahashi, Futoshi 2 2022 Sharp Hardy-Leray inequality for curl-free fields with a remainder term. Zbl 1452.26016Hamamoto, Naoki; Takahashi, Futoshi 5 2021 Sharp Hardy-Leray and Rellich-Leray inequalities for curl-free vector fields. Zbl 1472.35014Hamamoto, Naoki; Takahashi, Futoshi 3 2021 Best constant of the critical Hardy-Leray inequality for curl-free fields in two dimensions. Zbl 1467.35015Hamamoto, Naoki; Takahashi, Futoshi 1 2021 Topics of stable solutions to elliptic equations. Zbl 1471.35139Takahashi, Futoshi 1 2021 Sharp Hardy-Leray inequality for three-dimensional solenoidal fields with axisymmetric swirl. Zbl 1437.35006Hamamoto, Naoki; Takahashi, Futoshi 4 2020 Critical and subcritical fractional Trudinger-Moser-type inequalities on \(\mathbb{R}\). Zbl 1418.35012Takahashi, Futoshi 16 2019 Finsler Hardy-Kato’s inequality. Zbl 1476.46040Alvino, A.; Ferone, A.; Mercaldo, A.; Takahashi, F.; Volpicelli, R. 9 2019 Weighted Hardy’s inequality in a limiting case and the perturbed Kolmogorov equation. Zbl 1426.35008Sano, Megumi; Takahashi, Futoshi 1 2019 Hardy’s inequality in a limiting case on general bounded domains. Zbl 1442.35010Byeon, Jaeyoung; Takahashi, Futoshi 1 2019 On a weighted Trudinger-Moser type inequality on the whole space and related maximizing problem. Zbl 1463.35026Nguyen, Van Hoang; Takahashi, Futoshi 12 2018 Some improvements for a class of the Caffarelli-Kohn-Nirenberg inequalities. Zbl 1424.35009Sano, Megumi; Takahashi, Futoshi 4 2018 Scale invariance structures of the critical and the subcritical Hardy inequalities and their improvements. Zbl 1373.35017Sano, Megumi; Takahashi, Futoshi 31 2017 Sublinear eigenvalue problems with singular weights related to the critical Hardy inequality. Zbl 1344.35074Sano, Megumi; Takahashi, Futoshi 8 2016 Improved Rellich type inequalities in \(\mathbb {R}^{N}\). Zbl 1357.35013Sano, Megumi; Takahashi, Futoshi 6 2016 A simple proof of Hardy’s inequality in a limiting case. Zbl 1308.35010Takahashi, Futoshi 24 2015 Lyapunov inequality for an elliptic problem with the Robin boundary condition. Zbl 1328.35030Hashizume, Masato; Takahashi, Futoshi 2 2015 Extremal solutions to Liouville-Gelfand type elliptic problems with nonlinear Neumann boundary conditions. Zbl 1314.35054Takahashi, Futoshi 1 2015 Asymptotic behavior of least energy solutions for a 2D nonlinear Neumann problem with large exponent. Zbl 1312.35113Takahashi, Futoshi 6 2014 On the location of two blowup points on an annulus for the mean field equation. (Sur l’emplacement de deux points d’explosion sur un annulus pour l’équation de champ moyen.) Zbl 1297.35198Grossi, Massimo; Takahashi, Futoshi 2 2014 Continuum spectrum for the linearized extremal eigenvalue problem with boundary reactions. Zbl 1340.35236Takahashi, Futoshi 1 2014 Blow up points and the Morse indices of solutions to the Liouville equation in two-dimension. Zbl 1253.35023Takahashi, Futoshi 3 2012 A regularity criterion to the biharmonic map heat flow in \(\mathfrak R^{4}\). Zbl 1257.35057Fan, Jishan; Gao, Hongjun; Ogawa, Takayoshi; Takahashi, Futoshi 2 2012 A detailed analysis of a dynamo mechanism in a rapidly rotating spherical shell. Zbl 1248.76158Takahashi, F.; Shimizu, H. 2 2012 An eigenvalue problem related to blowing-up solutions for a semilinear elliptic equation with the critical Sobolev exponent. Zbl 1214.35040Takahashi, Futoshi 1 2011 A Payne-Rayner type inequality for the Robin problem on arbitrary minimal surfaces in \(\mathbb R^N\). Zbl 1210.35172Takahashi, Futoshi; Uegaki, Akinobu 1 2011 Nonexistence of multi-bubble solutions to some elliptic equations on convex domains. Zbl 1195.35147Grossi, Massimo; Takahashi, Futoshi 26 2010 Nonlinear eigenvalue problem with quantization. Zbl 1204.35126Suzuki, Takashi; Takahashi, Futoshi 1 2008 Asymptotic nondegeneracy of least energy solutions to an elliptic problem with critical Sobolev exponent. Zbl 1155.35376Takahashi, Futoshi 1 2008 Single-point condensation phenomena for a four-dimensional biharmonic Ren-Wei problem. Zbl 1186.35017Takahashi, Futoshi 4 2007 Mean field equation for equilibrium vortices with neutral orientation. Zbl 1387.35257Sawada, Ken; Suzuki, Takashi; Takahashi, Futoshi 3 2007 Concentration phenomena in the conformal Brezis-Nirenberg problem. Zbl 1133.35371Takahashi, Futoshi 2 2007 On the Lagrange multiplier of a minimization problem related to the isoperimetric inequality. Zbl 1354.49044Takahashi, Futoshi 1 2007 Concentration points of least energy solutions to the Brezis-Nirenberg equation with variable coefficients. Zbl 1192.35066Takahashi, Futoshi 1 2006 Dynamo action in a rotating spherical shell at high Rayleigh numbers. Zbl 1187.76512Takahashi, Futoshi; Matsushima, Masaki 5 2005 Asymptotic behavior of least energy solutions to a four-dimensional biharmonic semilinear problem. Zbl 1165.35352Takahashi, Futoshi 3 2005 On the location of blow up points of least energy solutions to the Brezis-Nirenberg equation. Zbl 1155.35006Takahashi, Futoshi 3 2004 Asymptotic behavior of large solutions to \(H\)-systems with perturbations. Zbl 1116.35048Takahashi, Futoshi 3 2004 Multiple solutions of inhomogeneous \(H\)-systems with zero Dirichlet boundary conditions. Zbl 1087.35041Takahashi, Futoshi 1 2003 A minimization problem related to the isoperimetric inequality for \(H_0^1\)-mappings. Zbl 1030.49045Takahashi, Futoshi 1 2002 Multiple solutions of \(H\)-systems on some multiply-connected domains. Zbl 1126.35325Takahashi, Futoshi 1 2002 Adiabatic and isocurvature fluctuations of Affleck-Dine field in \(D\)-term inflation model. Zbl 0971.83100Kawasaki, M.; Takahashi, F. 1 2001 all cited Publications top 5 cited Publications all top 5 Cited by 185 Authors 17 Takahashi, Futoshi 11 Lam, Nguyen 11 Nguyen Tuan Duy 8 Sano, Megumi 7 Cao, Daomin 6 Ozawa, Tohru 6 Phi, Le Long 5 Bartsch, Thomas J. 5 Grossi, Massimo 5 Hamamoto, Naoki 4 Lu, Guozhen 4 Machihara, Shuji 4 Ruzhansky, Michael V. 4 Suragan, Durvudkhan 3 Aouaoui, Sami 3 Guo, Qianqiao 3 Ioku, Norisuke 3 Jlel, Rahma 3 Nguyễn Văn Hoàng 3 Wang, Guodong 2 Alouini, Brahim 2 Barboza, Eudes Mendes 2 Bartolucci, Daniele 2 Battaglia, Luca 2 Bosq, Denis 2 Cassani, Daniele 2 Cazacu, Cristian M. 2 Clapp, Mónica 2 de Marchis, Francesca 2 de Souza, Manassés X. 2 Frank, Rupert L. 2 Gesztesy, Fritz 2 Giacomoni, Jacques 2 Ianni, Isabella 2 Ishiwata, Michinori 2 Jevnikar, Aleks Yang Wen 2 König, Tobias 2 Kovařík, Hynek 2 Luo, Peng 2 Michael, Isaac B. 2 Nguyen Anh Triet 2 Nguyen, Tuan Duy 2 Pang, Michael M. H. 2 Peng, Shuangjie 2 Pistoia, Angela 2 Podvigina, Ol’ga Mikhaĭlovna 2 Santra, Sanjiban 2 Severo, Uberlandio Batista 2 Suzuki, Takashi 2 Tarsi, Cristina 2 Wadade, Hidemitsu 2 Yan, Shusen 2 Yessirkegenov, Nurgissa A. 2 Yin, Weijia 2 Yuan, Shuai 2 Zhang, Lu 2 Zhang, Yibin 1 Abdelhakim, Ahmed A. 1 Anderson, Cardoso J. 1 Araújo, Yane Lisley 1 Arora, Rakesh 1 Bethuel, Fabrice 1 Bez, Neal 1 Bueno, Hamilton P. 1 Byeon, Jaeyoung 1 Caqui, Eduardo Huerto 1 Carroll, Tom 1 Carvalho, Jonison Lucas 1 Cassano, Biagio 1 Castro, Hernán 1 Chen, Sitong 1 Chertovskih, Roman A. 1 Choi, Woocheol 1 Clemente, Rodrigo G. 1 Cooper, Matthew K. 1 Cossetti, Lucrezia 1 Costa, Marcelo L. 1 Cowan, Craig 1 Csató, Gyula 1 Dai, Qianhui 1 Dao, Anh Nguyen 1 D’Aprile, Teresa 1 Das, Alaka 1 de Albuquerque, José Carlos 1 de Carvalho, Gilson M. 1 Deng, Shengbing 1 Di Fratta, Giovanni 1 Do Ó, João M. Bezerra 1 do Rêgo, Thiago Luiz O. 1 Dolecki, Szymon 1 Dong, Mengxia 1 Druet, Olivier 1 Fabricant, Alexander 1 Fan, Jishan 1 Fanelli, Luca 1 Fang, Fei 1 Faya, Jorge 1 Fiorenza, Alberto 1 Flynn, Joshua 1 Fourti, Habib ...and 85 more Authors all top 5 Cited in 78 Serials 14 Calculus of Variations and Partial Differential Equations 6 Journal of Mathematical Analysis and Applications 6 Journal of Differential Equations 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Applicable Analysis 5 Journal of Functional Analysis 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Advanced Nonlinear Studies 4 Mathematical Inequalities & Applications 3 Journal d’Analyse Mathématique 3 Mathematische Annalen 3 Applied Mathematics Letters 3 Discrete and Continuous Dynamical Systems 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 SN Partial Differential Equations and Applications 2 Geophysical and Astrophysical Fluid Dynamics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Archiv der Mathematik 2 Mathematische Nachrichten 2 Proceedings of the American Mathematical Society 2 Asymptotic Analysis 2 Communications in Partial Differential Equations 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 NoDEA. Nonlinear Differential Equations and Applications 2 Journal of Inequalities and Applications 2 Communications in Contemporary Mathematics 2 Boundary Value Problems 2 Discrete and Continuous Dynamical Systems. Series S 2 Advances in Nonlinear Analysis 1 International Journal of Modern Physics A 1 Analysis Mathematica 1 Archive for Rational Mechanics and Analysis 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Fluid Mechanics 1 Chaos, Solitons and Fractals 1 Advances in Mathematics 1 Canadian Journal of Mathematics 1 Duke Mathematical Journal 1 Integral Equations and Operator Theory 1 Journal of Computational and Applied Mathematics 1 Mathematica Slovaca 1 Mathematische Zeitschrift 1 Monatshefte für Mathematik 1 Pacific Journal of Mathematics 1 Semigroup Forum 1 Tôhoku Mathematical Journal. Second Series 1 Transactions of the American Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Physica D 1 Forum Mathematicum 1 Sugaku Expositions 1 The Journal of Geometric Analysis 1 Communications in Statistics. Theory and Methods 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Journal of Dynamics and Differential Equations 1 Topology Proceedings 1 Electronic Journal of Differential Equations (EJDE) 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 Revista Matemática Complutense 1 Journal of Mathematical Fluid Mechanics 1 Analysis (München) 1 Journal of the European Mathematical Society (JEMS) 1 Journal of Evolution Equations 1 Journal of the Australian Mathematical Society 1 Communications on Pure and Applied Analysis 1 Milan Journal of Mathematics 1 Mediterranean Journal of Mathematics 1 Cubo 1 Operators and Matrices 1 Journal of Mathematical Inequalities 1 Science China. Mathematics 1 Annals of Functional Analysis 1 Journal of Spectral Theory 1 Journal of Elliptic and Parabolic Equations 1 Transactions of the American Mathematical Society. Series B 1 Mathematics in Engineering 1 Electronic Research Archive all top 5 Cited in 29 Fields 116 Partial differential equations (35-XX) 54 Real functions (26-XX) 37 Functional analysis (46-XX) 12 Fluid mechanics (76-XX) 9 Global analysis, analysis on manifolds (58-XX) 5 Operator theory (47-XX) 5 Differential geometry (53-XX) 4 Topological groups, Lie groups (22-XX) 4 Potential theory (31-XX) 4 Ordinary differential equations (34-XX) 4 Abstract harmonic analysis (43-XX) 4 Quantum theory (81-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Geophysics (86-XX) 2 Approximations and expansions (41-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Probability theory and stochastic processes (60-XX) 2 Statistics (62-XX) 2 Astronomy and astrophysics (85-XX) 1 General and overarching topics; collections (00-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Biology and other natural sciences (92-XX) Citations by Year