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## Isobe, Takeshi

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 Author ID: isobe.takeshi Published as: Isobe, Takeshi
 Documents Indexed: 39 Publications since 1995

#### Co-Authors

 36 single-authored 3 Marini, Antonella
all top 5

#### Serials

 4 Calculus of Variations and Partial Differential Equations 3 Advances in Differential Equations 2 Journal of Mathematical Physics 2 Journal of Functional Analysis 2 Annals of Global Analysis and Geometry 2 Differential Geometry and its Applications 2 The Journal of Geometric Analysis 2 Topological Methods in Nonlinear Analysis 2 Journal of Fixed Point Theory and Applications 2 Nonlinear Analysis. Theory, Methods & Applications 1 Journal of Mathematical Analysis and Applications 1 Reviews in Mathematical Physics 1 Journal of Differential Equations 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Revista Matemática Iberoamericana 1 Forum Mathematicum 1 Differential and Integral Equations 1 Communications in Partial Differential Equations 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 RIMS Kokyuroku 1 Communications in Contemporary Mathematics 1 Advanced Nonlinear Studies
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#### Fields

 29 Global analysis, analysis on manifolds (58-XX) 18 Partial differential equations (35-XX) 9 Quantum theory (81-XX) 8 Functional analysis (46-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 Algebraic topology (55-XX) 5 Manifolds and cell complexes (57-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Differential geometry (53-XX) 2 Algebraic geometry (14-XX) 2 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX)

#### Citations contained in zbMATH Open

29 Publications have been cited 175 times in 84 Documents Cited by Year
Nonlinear Dirac equations with critical nonlinearities on compact spin manifolds. Zbl 1217.58013
Isobe, Takeshi
2011
Existence results for solutions to nonlinear Dirac equations on compact spin manifolds. Zbl 1222.58012
Isobe, Takeshi
2011
On the existence of nonlinear Dirac-geodesics on compact manifolds. Zbl 1235.58010
Isobe, Takeshi
2012
A perturbation method for spinorial Yamabe type equations on $$S^m$$ and its application. Zbl 1288.35411
Isobe, Takeshi
2013
Topological and analytical properties of Sobolev bundles. I: The critical case. Zbl 1166.58003
Isobe, Takeshi
2009
A regularity result for a class of degenerate Yang-Mills connections in critical dimensions. Zbl 1160.58009
Isobe, Takeshi
2008
Spinorial Yamabe type equations on $$S^3$$ via Conley index. Zbl 1316.35249
Isobe, Takeshi
2015
Morse-Floer theory for superquadratic Dirac equations. I: Relative Morse indices and compactness. Zbl 1375.35430
Isobe, Takeshi
2017
Morse-Floer theory for superquadratic Dirac equations. II: Construction and computation of Morse-Floer homology. Zbl 1375.35431
Isobe, Takeshi
2017
On the asymptotic analysis of $$H$$-systems. I: Asymptotic behavior of large solutions. Zbl 1142.35345
Isobe, Takeshi
2001
Topological and analytical properties of Sobolev bundles. II. Higher dimensional cases. Zbl 1250.58004
Isobe, Takeshi
2010
On topologically distinct solutions of the Dirichlet problem for Yang-Mills connections. Zbl 0873.35024
Isobe, Takeshi; Marini, Antonella
1997
On the multiple existence of superquadratic Dirac-harmonic maps into flat tori. Zbl 1433.58017
Isobe, Takeshi
2019
Regularity of harmonic maps into a static Lorentzian manifold. Zbl 0956.58012
Isobe, Takeshi
1998
Energy estimate, energy gap phenomenon, and relaxed energy for Yang-Mills functional. Zbl 0933.58013
Isobe, Takeshi
1998
Characterization of the strong closure of $$C^ \infty(B^ 4;S^ 2)$$ in $$W^{1,p}(B^ 4;S^ 2)$$ ($${16\over 5}\leq p < 4$$). Zbl 0838.46028
Isobe, Takeshi
1995
Some new properties of Sobolev mappings: Intersection theoretical approach. Zbl 0899.46021
Isobe, Takeshi
1997
Optimal regularity of harmonic maps from a Riemannian manifold into a static Lorentzian manifold. Zbl 0884.58031
Isobe, Takeshi
1997
Obstruction theory for the approximation and the deformation problems for Sobolev mappings. Zbl 1097.46050
Isobe, Takeshi
2005
On the asymptotic analysis of $$H$$-systems. II: The construction of large solutions. Zbl 1004.35050
Isobe, Takeshi
2001
On global singularities of Sobolev mappings. Zbl 1099.46052
Isobe, Takeshi
2006
Small coupling limit and multiple solutions to the Dirichlet problem for Yang-Mills connections in four dimensions. I. Zbl 1346.70035
Isobe, Takeshi; Marini, Antonella
2012
Classification of blow-up points and multiplicity of solutions for $$H$$-systems. Zbl 0956.35032
Isobe, Takeshi
2000
Non-existence and uniqueness results for boundary value problems for Yang-Mills connections. Zbl 0868.35028
Isobe, Takeshi
1997
Obstructions to the extension problem of Sobolev mappings. Zbl 1035.46045
Isobe, Takeshi
2003
Multiple solutions for the Dirichlet problem for $$H$$-systems with small $$H$$. Zbl 1207.35115
Isobe, Takeshi
2004
Energy gap phenomenon and the existence of infinitely many weakly harmonic maps for the Dirichlet problem. Zbl 0842.58013
Isobe, Takeshi
1995
Small coupling limit and multiple solutions to the Dirichlet problem for Yang-Mills connections in four dimensions. II. Zbl 1346.70034
Isobe, Takeshi; Marini, Antonella
2012
Morse homology for asymptotically linear Dirac equations on compact manifolds. Zbl 1447.35282
Isobe, Takeshi
2020
Morse homology for asymptotically linear Dirac equations on compact manifolds. Zbl 1447.35282
Isobe, Takeshi
2020
On the multiple existence of superquadratic Dirac-harmonic maps into flat tori. Zbl 1433.58017
Isobe, Takeshi
2019
Morse-Floer theory for superquadratic Dirac equations. I: Relative Morse indices and compactness. Zbl 1375.35430
Isobe, Takeshi
2017
Morse-Floer theory for superquadratic Dirac equations. II: Construction and computation of Morse-Floer homology. Zbl 1375.35431
Isobe, Takeshi
2017
Spinorial Yamabe type equations on $$S^3$$ via Conley index. Zbl 1316.35249
Isobe, Takeshi
2015
A perturbation method for spinorial Yamabe type equations on $$S^m$$ and its application. Zbl 1288.35411
Isobe, Takeshi
2013
On the existence of nonlinear Dirac-geodesics on compact manifolds. Zbl 1235.58010
Isobe, Takeshi
2012
Small coupling limit and multiple solutions to the Dirichlet problem for Yang-Mills connections in four dimensions. I. Zbl 1346.70035
Isobe, Takeshi; Marini, Antonella
2012
Small coupling limit and multiple solutions to the Dirichlet problem for Yang-Mills connections in four dimensions. II. Zbl 1346.70034
Isobe, Takeshi; Marini, Antonella
2012
Nonlinear Dirac equations with critical nonlinearities on compact spin manifolds. Zbl 1217.58013
Isobe, Takeshi
2011
Existence results for solutions to nonlinear Dirac equations on compact spin manifolds. Zbl 1222.58012
Isobe, Takeshi
2011
Topological and analytical properties of Sobolev bundles. II. Higher dimensional cases. Zbl 1250.58004
Isobe, Takeshi
2010
Topological and analytical properties of Sobolev bundles. I: The critical case. Zbl 1166.58003
Isobe, Takeshi
2009
A regularity result for a class of degenerate Yang-Mills connections in critical dimensions. Zbl 1160.58009
Isobe, Takeshi
2008
On global singularities of Sobolev mappings. Zbl 1099.46052
Isobe, Takeshi
2006
Obstruction theory for the approximation and the deformation problems for Sobolev mappings. Zbl 1097.46050
Isobe, Takeshi
2005
Multiple solutions for the Dirichlet problem for $$H$$-systems with small $$H$$. Zbl 1207.35115
Isobe, Takeshi
2004
Obstructions to the extension problem of Sobolev mappings. Zbl 1035.46045
Isobe, Takeshi
2003
On the asymptotic analysis of $$H$$-systems. I: Asymptotic behavior of large solutions. Zbl 1142.35345
Isobe, Takeshi
2001
On the asymptotic analysis of $$H$$-systems. II: The construction of large solutions. Zbl 1004.35050
Isobe, Takeshi
2001
Classification of blow-up points and multiplicity of solutions for $$H$$-systems. Zbl 0956.35032
Isobe, Takeshi
2000
Regularity of harmonic maps into a static Lorentzian manifold. Zbl 0956.58012
Isobe, Takeshi
1998
Energy estimate, energy gap phenomenon, and relaxed energy for Yang-Mills functional. Zbl 0933.58013
Isobe, Takeshi
1998
On topologically distinct solutions of the Dirichlet problem for Yang-Mills connections. Zbl 0873.35024
Isobe, Takeshi; Marini, Antonella
1997
Some new properties of Sobolev mappings: Intersection theoretical approach. Zbl 0899.46021
Isobe, Takeshi
1997
Optimal regularity of harmonic maps from a Riemannian manifold into a static Lorentzian manifold. Zbl 0884.58031
Isobe, Takeshi
1997
Non-existence and uniqueness results for boundary value problems for Yang-Mills connections. Zbl 0868.35028
Isobe, Takeshi
1997
Characterization of the strong closure of $$C^ \infty(B^ 4;S^ 2)$$ in $$W^{1,p}(B^ 4;S^ 2)$$ ($${16\over 5}\leq p < 4$$). Zbl 0838.46028
Isobe, Takeshi
1995
Energy gap phenomenon and the existence of infinitely many weakly harmonic maps for the Dirichlet problem. Zbl 0842.58013
Isobe, Takeshi
1995
all top 5

#### Cited by 65 Authors

 21 Isobe, Takeshi 8 Maalaoui, Ali 5 Borrelli, William 5 Rivière, Tristan 4 Ding, Yanheng 4 Jost, Jürgen 4 Martino, Vittorio 4 Petrache, Mircea 3 Branding, Volker 3 Lu, Guangcun 3 Malchiodi, Andrea 3 Musina, Roberta 3 Wu, Ruijun 3 Xu, Tian 3 Yang, Xu 2 Caldiroli, Paolo 2 Gong, Wenmin 2 Han, Xiaoli 2 Jevnikar, Aleks 2 Li, Jiongyue 2 Liu, Lei 2 Marini, Antonella 2 Zhu, Jingyong 2 Zhu, Miaomiao 1 Ai, Wanjun 1 Ammann, Bernd Eberhard 1 Berchenko-Kogan, Yakov 1 Bernand-Mantel, Anne 1 Bethuel, Fabrice 1 Chen, Qun 1 Felli, Veronica 1 Frank, Rupert L. 1 Gastel, Andreas 1 Ginoux, Nicolas 1 Gross, Leonard 1 Guidi, Chiara 1 Guo, Qi 1 Habibi, Mohammed 1 Hajłasz, Piotr 1 Hamilton, Mark J. D. 1 Hardt, Robert M. 1 Hong, Minchun 1 Jin, Rongrong 1 Kelleher, Casey Lynn 1 Li, Chong 1 Li, Jiayu 1 Li, Shujie 1 Liu, Yanyan 1 Mironescu, Petru 1 Mucci, Domenico 1 Muratov, Cyrill B. 1 Pakzad, Mohammad Reza 1 Păunoiu, Alexandru 1 Russ, Emmanuel 1 Schabrun, Lorenz 1 Scheven, Christoph 1 Simon, Theresa M. 1 Sire, Yannick 1 Sun, Linlin 1 Takahashi, Futoshi 1 Tralli, Giulio 1 Van Schaftingen, Jean 1 Wei, Juncheng 1 Yu, Yuanyang 1 Ziltener, Fabian
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#### Cited in 37 Serials

 13 Calculus of Variations and Partial Differential Equations 6 Journal of Functional Analysis 6 Journal of Fixed Point Theory and Applications 5 Journal of Mathematical Physics 4 Journal of Differential Equations 3 NoDEA. Nonlinear Differential Equations and Applications 3 Communications in Contemporary Mathematics 2 Archive for Rational Mechanics and Analysis 2 Communications in Mathematical Physics 2 Journal of Mathematical Analysis and Applications 2 Mathematische Annalen 2 Mathematische Zeitschrift 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Transactions of the American Mathematical Society 2 Annals of Global Analysis and Geometry 2 Revista Matemática Iberoamericana 2 Differential Geometry and its Applications 2 The Journal of Geometric Analysis 2 Communications in Partial Differential Equations 2 Advanced Nonlinear Studies 1 Journal d’Analyse Mathématique 1 Nuclear Physics. B 1 Journal of Geometry and Physics 1 Advances in Mathematics 1 Duke Mathematical Journal 1 Manuscripta Mathematica 1 Memoirs of the American Mathematical Society 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Results in Mathematics 1 Geometric and Functional Analysis. GAFA 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Discrete and Continuous Dynamical Systems 1 Communications on Pure and Applied Analysis 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Science China. Mathematics 1 Arabian Journal of Mathematics
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#### Cited in 18 Fields

 57 Global analysis, analysis on manifolds (58-XX) 37 Partial differential equations (35-XX) 37 Differential geometry (53-XX) 16 Quantum theory (81-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 11 Functional analysis (46-XX) 11 Manifolds and cell complexes (57-XX) 6 Dynamical systems and ergodic theory (37-XX) 4 Algebraic topology (55-XX) 3 Mechanics of particles and systems (70-XX) 3 Optics, electromagnetic theory (78-XX) 2 Algebraic geometry (14-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Operator theory (47-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Relativity and gravitational theory (83-XX) 1 Real functions (26-XX) 1 Mechanics of deformable solids (74-XX)