# zbMATH — the first resource for mathematics

## Uhlenbeck, Karen Keskulla

Compute Distance To:
 Author ID: uhlenbeck.karen-keskulla Published as: Uhlenbeck, K.; Uhlenbeck, Karen; Uhlenbeck, Karen K.; Uhlenbeck, Karen Keskulla Homepage: https://web.ma.utexas.edu/users/uhlen/ External Links: Women in Mathematics · MGP · Wikidata · Celebratio Mathematica · GND · MacTutor Awards: Abel Prize (2019)
 Documents Indexed: 67 Publications since 1970, including 5 Books Biographic References: 8 Publications
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#### Co-Authors

 30 single-authored 11 Terng, Chuu-Lian 4 Yau, Shing-Tung 3 Sacks, Jonathan 3 Schoen, Richard Melvin 2 Daskalopoulos, Georgios D. 2 Freed, Daniel Stuart 2 Mazzeo, Rafe R. 2 Nahmod, Andrea R. 2 Pollack, Daniel 2 Stefanov, Atanas G. 1 Apanasov, Boris Nikolaevich 1 Atiyah, Michael Francis 1 Borel, Armand 1 Bradlow, Steven B. 1 Bray, Hubert L. 1 Chaitin, Gregory J. 1 Chang, Nai-Heng 1 Dai, Bo 1 Eichmair, Michael 1 Fraser, Ailana M. 1 Friedan, Daniel Harry 1 Gagliardo, Michael 1 Glimm, James G. 1 Gonçalves, Alexandre Domingues 1 Gray, Jeremy John 1 Hirsch, Morris W. 1 Huang, Lan-Hsuan 1 Kusner, Rob 1 Mac Lane, Leslie Saunders 1 Mandelbrot, Benoit B. 1 Marques, Fernando Codá 1 Mese, Chikako 1 Minicozzi, William Philip II 1 Rodrigues, Waldyr Alves jun. 1 Ruelle, David Pierre 1 Schwarz, Albert S. 1 Shatah, Jalal 1 Sibner, Lesley M. 1 Sibner, Robert J. 1 Thom, René 1 Vajiac, Mihaela B. 1 Viaclovsky, Jeff A. 1 Wentworth, Richard A. 1 Witten, Edward 1 Zeeman, Erik Christopher
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#### Serials

 6 Journal of Differential Geometry 5 Communications in Mathematical Physics 5 Communications on Pure and Applied Mathematics 5 Bulletin of the American Mathematical Society 4 Communications in Analysis and Geometry 2 Topology 2 Transactions of the American Mathematical Society 2 Bulletin of the American Mathematical Society. New Series 2 Notices of the American Mathematical Society 2 Journal of Fixed Point Theory and Applications 1 Journal of Geometry and Physics 1 Acta Mathematica 1 American Journal of Mathematics 1 Inventiones Mathematicae 1 Journal of Functional Analysis 1 Proceedings of the American Mathematical Society 1 Journal of the American Mathematical Society 1 Proceedings of the National Academy of Sciences of the United States of America 1 Topological Methods in Nonlinear Analysis 1 Mathematical Research Letters 1 Annals of Mathematics. Second Series 1 Mathematical Sciences Research Institute Publications 1 Surveys in Differential Geometry. Supplement to the Journal of Differential Geometry 1 IAS/Park City Mathematics Series
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#### Fields

 39 Global analysis, analysis on manifolds (58-XX) 35 Differential geometry (53-XX) 19 Partial differential equations (35-XX) 12 Dynamical systems and ergodic theory (37-XX) 12 Quantum theory (81-XX) 8 Manifolds and cell complexes (57-XX) 7 Several complex variables and analytic spaces (32-XX) 5 General and overarching topics; collections (00-XX) 3 Algebraic geometry (14-XX) 3 Nonassociative rings and algebras (17-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Algebraic topology (55-XX) 2 History and biography (01-XX) 2 Mechanics of particles and systems (70-XX) 1 Number theory (11-XX) 1 Topological groups, Lie groups (22-XX) 1 Abstract harmonic analysis (43-XX) 1 Operator theory (47-XX) 1 Relativity and gravitational theory (83-XX)

#### Citations contained in zbMATH

54 Publications have been cited 2,829 times in 2,162 Documents Cited by Year
The existence of minimal immersions of 2-spheres. Zbl 0462.58014
Sacks, Jonathan; Uhlenbeck, K.
1981
Regularity for a class of nonlinear elliptic systems. Zbl 0372.35030
Uhlenbeck, K.
1977
A regularity theory for harmonic maps. Zbl 0521.58021
Schoen, Richard; Uhlenbeck, Karen
1982
On the existence of Hermitian-Yang-Mills connections in stable vector bundles. Zbl 0615.58045
Uhlenbeck, K.; Yau, S. T.
1986
Connections with $$L^ p$$bounds on curvature. Zbl 0499.58019
Uhlenbeck, Karen K.
1982
Boundary regularity and the Dirichlet problem for harmonic maps. Zbl 0547.58020
Schoen, Richard; Uhlenbeck, Karen
1983
Instantons and four-manifolds. Zbl 0559.57001
Freed, Daniel S.; Uhlenbeck, Karen K.
1984
Removable singularities in Yang-Mills fields. Zbl 0491.58032
Uhlenbeck, Karen K.
1982
Generic properties of eigenfunctions. Zbl 0355.58017
Uhlenbeck, K.
1976
Harmonic maps into Lie groups (classical solutions of the chiral model). Zbl 0677.58020
Uhlenbeck, Karen
1989
Schrödinger maps. Zbl 1028.35134
Chang, Nai-Heng; Shatah, Jalal; Uhlenbeck, Karen
2000
Bäcklund transformations and loop group actions. Zbl 1031.37064
Terng, Chuu-Lian; Uhlenbeck, Karen
2000
Regularity of minimizing harmonic maps into the sphere. Zbl 0555.58011
Schoen, Richard; Uhlenbeck, Karen
1984
Minimal immersions of closed Riemann surfaces. Zbl 0527.58008
Sacks, Jonathan; Uhlenbeck, K.
1982
A Morse theory for geodesics on a Lorentz manifold. Zbl 0323.58010
Uhlenbeck, K.
1975
Moduli spaces of singular Yamabe metrics. Zbl 0849.58012
Mazzeo, Rafe; Pollack, Daniel; Uhlenbeck, Karen
1996
Solutions to Yang-Mills equations that are not self-dual. Zbl 0731.53031
Sibner, L. M.; Sibner, R. J.; Uhlenbeck, K.
1989
A note on our previous paper: On the existence of Hermitian Yang-Mills connections in stable vector bundles. Zbl 0678.58041
Uhlenbeck, K.; Yau, S. T.
1989
On Schrödinger maps. Zbl 1028.58018
Nahmod, Andrea; Stefanov, Atanas; Uhlenbeck, Karen
2003
The Chern classes of Sobolev connections. Zbl 0586.53018
Uhlenbeck, Karen K.
1985
On the well-posedness of the wave map problem in high dimensions. Zbl 1085.58022
Nahmod, Andrea; Stefanov, Atanas; Uhlenbeck, Karen
2003
Connected sum constructions for constant scalar curvature metrics. Zbl 0866.58069
Mazzeo, Rafe; Pollack, Daniel; Uhlenbeck, Karen
1995
Morse theory on Banach manifolds. Zbl 0241.58002
Uhlenbeck, K.
1972
Schrödinger flows on Grassmannians. Zbl 1110.37056
Terng, Chuulian; Uhlenbeck, Karen
2006
The Morse index theorem in Hilbert space. Zbl 0277.58002
Uhlenbeck, K.
1973
Eigenfunctions of Laplace operators. Zbl 0275.58003
Uhlenbeck, K.
1972
Closed minimal surfaces in hyperbolic 3-manifolds. Zbl 0529.53007
Uhlenbeck, Karen K.
1983
Morse theory by perturbation methods with applications to harmonic maps. Zbl 0509.58012
Uhlenbeck, K.
1981
An application of transversality to the topology of the moduli space of stable bundles. Zbl 0835.58005
Daskalopoulos, Georgios D.; Uhlenbeck, Karen K.
1995
Equivariant harmonic maps into spheres. Zbl 0505.58015
Uhlenbeck, Karen K.
1982
Regularity of weak solutions to critical exponent variational equations. Zbl 0977.58020
Uhlenbeck, Karen K.; Viaclovsky, Jeff A.
2000
On the connection between harmonic maps and the self-dual Yang-Mills and the sine-Gordon equations. Zbl 0747.58025
Uhlenbeck, Karen
1992
Harmonic maps; a direct method in the calculuc of variations. Zbl 0208.12802
Uhlenbeck, K.
1970
Poisson actions and scattering theory for integrable systems. Zbl 0935.35163
Terng, Chuu-Lian; Uhlenbeck, Karen
1998
Responses to “Theoretical mathematics: Toward a cultural synthesis of mathematics and theoretical physics”, by A. Jaffe and F. Quinn. Zbl 0803.01014
Atiyah, Michael; Borel, Armand; Chaitin, G. J.; Friedan, Daniel; Glimm, James; Gray, Jeremy J.; Hirsch, Morris W.; MacLane, Saunders; Mandelbrot, Benoit B.; Ruelle, David; Schwarz, Albert; Uhlenbeck, Karen; Thom, René; Witten, Edward; Zeeman, Christopher
1994
Removable singularities in Yang-Mills fields. Zbl 0416.35026
Uhlenbeck, Karen Keskulla
1979
Geometric aspects of the Kapustin-Witten equations. Zbl 1260.53002
Gagliardo, Michael; Uhlenbeck, Karen
2012
On the space-time monopole equation. Zbl 1157.53016
Dai, Bo; Terng, Chuu-Lian; Uhlenbeck, Karen
2006
The $$n \times n$$ KdV hierarchy. Zbl 1251.37070
Terng, Chuu-Lian; Uhlenbeck, Karen
2011
The existence of minimal immersions of two-spheres. Zbl 0375.49016
Sacks, Jonathan; Uhlenbeck, K.
1977
$$1+1$$ wave maps into symmetric spaces. Zbl 1082.37068
Terng, Chuu-Lian; Uhlenbeck, Karen
2004
Geometry of solitons. Zbl 0987.37072
Terng, Chuu-Lian; Uhlenbeck, Karen
2000
Morse theory on Banach manifolds. Zbl 0199.43102
Uhlenbeck, K.
1970
Integrals with nondegenerate critical points. Zbl 0198.43403
Uhlenbeck, K.
1970
Variational problems for gauge fields. Zbl 0481.58016
Uhlenbeck, Karen K.
1982
Tau functions and Virasoro actions for soliton hierarchies. Zbl 1346.37058
Terng, Chuu-Lian; Uhlenbeck, Karen
2016
Moduli of extensions of holomorphic bundles on Kähler manifolds. Zbl 0852.58014
Daskalopoulos, Georgios; Uhlenbeck, Karen; Wentworth, Richard
1995
Variational problems for gauge fields. Zbl 0562.53059
Uhlenbeck, Karen K.
1984
Tau function and Virasoro action for the $$n\times n$$ KdV hierarchy. Zbl 1354.37068
Terng, Chuu-Lian; Uhlenbeck, Karen
2016
Introduction (to Surveys in Differential Geometry. Vol. IV: Integrable systems). Zbl 0938.35182
Terng, Chuu-Lian; Uhlenbeck, Karen
1998
Geometry, topology and physics. Proceedings of the first Brazil-USA workshop, Campinas, Brazil, June 30–July 7, 1996. Zbl 0883.00022
Apanasov, Boris N. (ed.); Bradlow, Steven B. (ed.); Rodrigues, Waldyr A. jun. (ed.); Uhlenbeck, Karen K. (ed.)
1997
Applications of nonlinear analysis in topology. Zbl 0753.53001
Uhlenbeck, Karen
1991
Minimal spheres and other conformal variational problems. Zbl 0535.53050
Uhlenbeck, Karen K.
1983
Lorentz geometry. Zbl 0303.53027
Uhlenbeck, Karen
1974
Tau functions and Virasoro actions for soliton hierarchies. Zbl 1346.37058
Terng, Chuu-Lian; Uhlenbeck, Karen
2016
Tau function and Virasoro action for the $$n\times n$$ KdV hierarchy. Zbl 1354.37068
Terng, Chuu-Lian; Uhlenbeck, Karen
2016
Geometric aspects of the Kapustin-Witten equations. Zbl 1260.53002
Gagliardo, Michael; Uhlenbeck, Karen
2012
The $$n \times n$$ KdV hierarchy. Zbl 1251.37070
Terng, Chuu-Lian; Uhlenbeck, Karen
2011
Schrödinger flows on Grassmannians. Zbl 1110.37056
Terng, Chuulian; Uhlenbeck, Karen
2006
On the space-time monopole equation. Zbl 1157.53016
Dai, Bo; Terng, Chuu-Lian; Uhlenbeck, Karen
2006
$$1+1$$ wave maps into symmetric spaces. Zbl 1082.37068
Terng, Chuu-Lian; Uhlenbeck, Karen
2004
On Schrödinger maps. Zbl 1028.58018
Nahmod, Andrea; Stefanov, Atanas; Uhlenbeck, Karen
2003
On the well-posedness of the wave map problem in high dimensions. Zbl 1085.58022
Nahmod, Andrea; Stefanov, Atanas; Uhlenbeck, Karen
2003
Schrödinger maps. Zbl 1028.35134
Chang, Nai-Heng; Shatah, Jalal; Uhlenbeck, Karen
2000
Bäcklund transformations and loop group actions. Zbl 1031.37064
Terng, Chuu-Lian; Uhlenbeck, Karen
2000
Regularity of weak solutions to critical exponent variational equations. Zbl 0977.58020
Uhlenbeck, Karen K.; Viaclovsky, Jeff A.
2000
Geometry of solitons. Zbl 0987.37072
Terng, Chuu-Lian; Uhlenbeck, Karen
2000
Poisson actions and scattering theory for integrable systems. Zbl 0935.35163
Terng, Chuu-Lian; Uhlenbeck, Karen
1998
Introduction (to Surveys in Differential Geometry. Vol. IV: Integrable systems). Zbl 0938.35182
Terng, Chuu-Lian; Uhlenbeck, Karen
1998
Geometry, topology and physics. Proceedings of the first Brazil-USA workshop, Campinas, Brazil, June 30–July 7, 1996. Zbl 0883.00022
Apanasov, Boris N. (ed.); Bradlow, Steven B. (ed.); Rodrigues, Waldyr A. jun. (ed.); Uhlenbeck, Karen K. (ed.)
1997
Moduli spaces of singular Yamabe metrics. Zbl 0849.58012
Mazzeo, Rafe; Pollack, Daniel; Uhlenbeck, Karen
1996
Connected sum constructions for constant scalar curvature metrics. Zbl 0866.58069
Mazzeo, Rafe; Pollack, Daniel; Uhlenbeck, Karen
1995
An application of transversality to the topology of the moduli space of stable bundles. Zbl 0835.58005
Daskalopoulos, Georgios D.; Uhlenbeck, Karen K.
1995
Moduli of extensions of holomorphic bundles on Kähler manifolds. Zbl 0852.58014
Daskalopoulos, Georgios; Uhlenbeck, Karen; Wentworth, Richard
1995
Responses to “Theoretical mathematics: Toward a cultural synthesis of mathematics and theoretical physics”, by A. Jaffe and F. Quinn. Zbl 0803.01014
Atiyah, Michael; Borel, Armand; Chaitin, G. J.; Friedan, Daniel; Glimm, James; Gray, Jeremy J.; Hirsch, Morris W.; MacLane, Saunders; Mandelbrot, Benoit B.; Ruelle, David; Schwarz, Albert; Uhlenbeck, Karen; Thom, René; Witten, Edward; Zeeman, Christopher
1994
On the connection between harmonic maps and the self-dual Yang-Mills and the sine-Gordon equations. Zbl 0747.58025
Uhlenbeck, Karen
1992
Applications of nonlinear analysis in topology. Zbl 0753.53001
Uhlenbeck, Karen
1991
Harmonic maps into Lie groups (classical solutions of the chiral model). Zbl 0677.58020
Uhlenbeck, Karen
1989
Solutions to Yang-Mills equations that are not self-dual. Zbl 0731.53031
Sibner, L. M.; Sibner, R. J.; Uhlenbeck, K.
1989
A note on our previous paper: On the existence of Hermitian Yang-Mills connections in stable vector bundles. Zbl 0678.58041
Uhlenbeck, K.; Yau, S. T.
1989
On the existence of Hermitian-Yang-Mills connections in stable vector bundles. Zbl 0615.58045
Uhlenbeck, K.; Yau, S. T.
1986
The Chern classes of Sobolev connections. Zbl 0586.53018
Uhlenbeck, Karen K.
1985
Instantons and four-manifolds. Zbl 0559.57001
Freed, Daniel S.; Uhlenbeck, Karen K.
1984
Regularity of minimizing harmonic maps into the sphere. Zbl 0555.58011
Schoen, Richard; Uhlenbeck, Karen
1984
Variational problems for gauge fields. Zbl 0562.53059
Uhlenbeck, Karen K.
1984
Boundary regularity and the Dirichlet problem for harmonic maps. Zbl 0547.58020
Schoen, Richard; Uhlenbeck, Karen
1983
Closed minimal surfaces in hyperbolic 3-manifolds. Zbl 0529.53007
Uhlenbeck, Karen K.
1983
Minimal spheres and other conformal variational problems. Zbl 0535.53050
Uhlenbeck, Karen K.
1983
A regularity theory for harmonic maps. Zbl 0521.58021
Schoen, Richard; Uhlenbeck, Karen
1982
Connections with $$L^ p$$bounds on curvature. Zbl 0499.58019
Uhlenbeck, Karen K.
1982
Removable singularities in Yang-Mills fields. Zbl 0491.58032
Uhlenbeck, Karen K.
1982
Minimal immersions of closed Riemann surfaces. Zbl 0527.58008
Sacks, Jonathan; Uhlenbeck, K.
1982
Equivariant harmonic maps into spheres. Zbl 0505.58015
Uhlenbeck, Karen K.
1982
Variational problems for gauge fields. Zbl 0481.58016
Uhlenbeck, Karen K.
1982
The existence of minimal immersions of 2-spheres. Zbl 0462.58014
Sacks, Jonathan; Uhlenbeck, K.
1981
Morse theory by perturbation methods with applications to harmonic maps. Zbl 0509.58012
Uhlenbeck, K.
1981
Removable singularities in Yang-Mills fields. Zbl 0416.35026
Uhlenbeck, Karen Keskulla
1979
Regularity for a class of nonlinear elliptic systems. Zbl 0372.35030
Uhlenbeck, K.
1977
The existence of minimal immersions of two-spheres. Zbl 0375.49016
Sacks, Jonathan; Uhlenbeck, K.
1977
Generic properties of eigenfunctions. Zbl 0355.58017
Uhlenbeck, K.
1976
A Morse theory for geodesics on a Lorentz manifold. Zbl 0323.58010
Uhlenbeck, K.
1975
Lorentz geometry. Zbl 0303.53027
Uhlenbeck, Karen
1974
The Morse index theorem in Hilbert space. Zbl 0277.58002
Uhlenbeck, K.
1973
Morse theory on Banach manifolds. Zbl 0241.58002
Uhlenbeck, K.
1972
Eigenfunctions of Laplace operators. Zbl 0275.58003
Uhlenbeck, K.
1972
Harmonic maps; a direct method in the calculuc of variations. Zbl 0208.12802
Uhlenbeck, K.
1970
Morse theory on Banach manifolds. Zbl 0199.43102
Uhlenbeck, K.
1970
Integrals with nondegenerate critical points. Zbl 0198.43403
Uhlenbeck, K.
1970
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#### Cited by 1,986 Authors

 28 Mingione, Giuseppe 26 Biswas, Indranil 24 Jost, Jürgen 20 Wang, Changyou 19 Rivière, Tristan 19 Wang, Youde 18 Uhlenbeck, Karen Keskulla 18 Zhang, Xi 16 Lin, Fang Hua 16 Popov, Alexander D. 15 Isobe, Takeshi 15 Li, Jiayu 14 Bethuel, Fabrice 14 Brézis, Haïm 14 Giaquinta, Mariano 13 Duzaar, Frank 12 Jiao, Xiaoxiang 12 Masiello, Antonio 12 Taubes, Clifford Henry 12 Tian, Gang 12 Zhu, Miaomiao 11 Fuchs, Martin 11 Giannoni, Fabio 11 Lechtenfeld, Olaf 10 Hardt, Robert M. 10 Mironescu, Petru 10 Otway, Thomas H. 10 Sibner, Lesley M. 10 Struwe, Michael 10 Tataru, Daniel 10 Wei, Juncheng 9 Anderson, Lara B. 9 Cingolani, Silvia 9 Diening, Lars 9 García-Prada, Oscar 9 Hong, Minchun 9 Schikorra, Armin 9 Schwarzacher, Sebastian 8 Bradlow, Steven B. 8 Chen, Jingyi 8 Chiang, Yuan-Jen 8 Ding, Qing 8 Ding, Weiyue 8 Dorfmeister, Josef F. 8 Gastel, Andreas 8 Kuusi, Tuomo 8 Lamm, Tobias 8 Liu, Lei 8 Marcellini, Paolo 8 Mazzeo, Rafe R. 8 Moser, Roger 8 Mucci, Domenico 8 Oh, Sung-Jin 8 Ovrut, Burt A. 8 Parker, Thomas H. 8 Piccione, Paolo 8 Stroffolini, Bianca 8 Tan, Zhong 8 Terng, Chuu-Lian 8 Van Schaftingen, Jean 8 Vannella, Giuseppina 8 Verde, Anna 8 Wang, Guofang 8 Zheng, Shenzhou 7 Beck, Lisa 7 Breit, Dominic 7 Bulíček, Miroslav 7 Burstall, Francis E. 7 Cianchi, Andrea 7 Colombo, Maria 7 Feehan, Paul M. N. 7 Goodrich, Christopher S. 7 Greco, Carlo Salvatore 7 Grotowski, Joseph F. 7 Hajłasz, Piotr 7 Huang, Teng 7 Leschke, Katrin 7 Ling, Liming 7 Micheletti, Anna Maria 7 Musina, Roberta 7 Pistoia, Angela 7 Song, Chong 7 Tsukamoto, Masaki 7 Wood, John C. 7 Yau, Shing-Tung 6 Bejenaru, Ioan 6 Benci, Vieri 6 Bousquet, Pierre 6 Canevari, Giacomo 6 Chen, Shuhong 6 Coron, Jean-Michel 6 Donaldson, Simon Kirwan 6 Gray, James A. 6 Guo, Boling 6 Hélein, Frédéric 6 Huh, Hyungjin 6 Iwaniec, Tadeusz 6 Leung, Man Chun 6 Li, Yuxiang 6 Mascolo, Elvira ...and 1,886 more Authors
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#### Cited in 260 Serials

 128 Communications in Mathematical Physics 122 Calculus of Variations and Partial Differential Equations 64 Journal of Geometry and Physics 62 Transactions of the American Mathematical Society 56 Manuscripta Mathematica 55 Advances in Mathematics 54 Mathematische Zeitschrift 51 Mathematische Annalen 50 Journal of High Energy Physics 49 Journal of Differential Equations 47 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 46 Journal of Functional Analysis 46 The Journal of Geometric Analysis 45 Inventiones Mathematicae 45 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 44 Archive for Rational Mechanics and Analysis 41 Journal of Mathematical Physics 39 Communications in Partial Differential Equations 36 Journal of Mathematical Analysis and Applications 36 Duke Mathematical Journal 32 Proceedings of the American Mathematical Society 31 Nuclear Physics. B 31 Annals of Global Analysis and Geometry 30 Annali di Matematica Pura ed Applicata. Serie Quarta 29 Differential Geometry and its Applications 28 Nonlinear Analysis. Theory, Methods & Applications 27 Bulletin of the American Mathematical Society. New Series 25 International Journal of Mathematics 25 Acta Mathematica Sinica. English Series 23 Geometry & Topology 19 Journal de Mathématiques Pures et Appliquées. Neuvième Série 17 Communications in Contemporary Mathematics 15 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 15 Geometric and Functional Analysis. GAFA 14 Journal für die Reine und Angewandte Mathematik 13 Journal of Mathematical Sciences (New York) 13 Comptes Rendus. Mathématique. Académie des Sciences, Paris 12 Geometriae Dedicata 12 Tohoku Mathematical Journal. Second Series 12 Journal of the American Mathematical Society 11 Letters in Mathematical Physics 11 Acta Mathematica 11 Annales de l’Institut Fourier 11 Compositio Mathematica 11 Science in China. Series A 11 Annales Henri Poincaré 10 Communications on Pure and Applied Mathematics 10 Publications Mathématiques 9 Memoirs of the American Mathematical Society 9 Physica D 9 Acta Mathematica Sinica. New Series 9 Journal of Fixed Point Theory and Applications 9 Advances in Calculus of Variations 9 Science China. Mathematics 8 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 7 Israel Journal of Mathematics 7 Proceedings of the Japan Academy. Series A 7 Topology and its Applications 7 NoDEA. Nonlinear Differential Equations and Applications 6 Journal d’Analyse Mathématique 6 Physics Letters. B 6 Kodai Mathematical Journal 6 Forum Mathematicum 6 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 6 SIAM Journal on Mathematical Analysis 6 Annals of Mathematics. Second Series 6 Journal of the European Mathematical Society (JEMS) 6 Advanced Nonlinear Studies 6 Bulletin of the American Mathematical Society 5 International Journal of Theoretical Physics 5 Applied Mathematics Letters 5 St. Petersburg Mathematical Journal 5 International Journal of Geometric Methods in Modern Physics 5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 5 Frontiers of Mathematics in China 5 Discrete and Continuous Dynamical Systems. Series S 4 International Journal of Modern Physics A 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Reviews in Mathematical Physics 4 Fortschritte der Physik 4 Osaka Journal of Mathematics 4 Proceedings of the London Mathematical Society. Third Series 4 Chinese Annals of Mathematics. Series B 4 Revista Matemática Iberoamericana 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 Annales de l’Institut Henri Poincaré. Physique Théorique 4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 4 Potential Analysis 4 Applied Mathematics. Series B (English Edition) 4 Discrete and Continuous Dynamical Systems 4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 4 Journal of Hyperbolic Differential Equations 4 Journal of Physics A: Mathematical and Theoretical 4 Japanese Journal of Mathematics. 3rd Series 4 Communications in Mathematics and Statistics 4 Advances in Nonlinear Analysis 4 Complex Manifolds 3 General Relativity and Gravitation 3 Journal of Computational Physics 3 Mathematical Notes ...and 160 more Serials
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#### Cited in 55 Fields

 866 Global analysis, analysis on manifolds (58-XX) 850 Differential geometry (53-XX) 822 Partial differential equations (35-XX) 312 Quantum theory (81-XX) 243 Calculus of variations and optimal control; optimization (49-XX) 176 Several complex variables and analytic spaces (32-XX) 172 Algebraic geometry (14-XX) 135 Manifolds and cell complexes (57-XX) 126 Dynamical systems and ergodic theory (37-XX) 84 Functional analysis (46-XX) 68 Relativity and gravitational theory (83-XX) 56 Fluid mechanics (76-XX) 55 Statistical mechanics, structure of matter (82-XX) 45 Operator theory (47-XX) 43 Functions of a complex variable (30-XX) 38 Mechanics of particles and systems (70-XX) 36 Algebraic topology (55-XX) 35 Potential theory (31-XX) 29 Topological groups, Lie groups (22-XX) 26 Ordinary differential equations (34-XX) 24 Numerical analysis (65-XX) 18 Mechanics of deformable solids (74-XX) 15 Real functions (26-XX) 14 Nonassociative rings and algebras (17-XX) 14 Optics, electromagnetic theory (78-XX) 13 Group theory and generalizations (20-XX) 10 General and overarching topics; collections (00-XX) 10 History and biography (01-XX) 10 Probability theory and stochastic processes (60-XX) 8 Associative rings and algebras (16-XX) 7 Number theory (11-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 7 Systems theory; control (93-XX) 6 General topology (54-XX) 4 Combinatorics (05-XX) 4 Measure and integration (28-XX) 4 Special functions (33-XX) 3 Mathematical logic and foundations (03-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Approximations and expansions (41-XX) 3 Geometry (51-XX) 3 Convex and discrete geometry (52-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 $$K$$-theory (19-XX) 2 Abstract harmonic analysis (43-XX) 2 Computer science (68-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Astronomy and astrophysics (85-XX) 1 Commutative algebra (13-XX) 1 Category theory; homological algebra (18-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX)

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