Edit Profile (opens in new tab) Sibner, Lesley M. Co-Author Distance Author ID: sibner.lesley-m Published as: Sibner, L. M.; Sibner, Lesley; Sibner, Lesley M. more...less External Links: Women in Mathematics · MGP · Wikidata · IdRef Documents Indexed: 29 Publications since 1966 Co-Authors: 10 Co-Authors with 19 Joint Publications 185 Co-Co-Authors all top 5 Co-Authors 10 single-authored 16 Sibner, Robert J. 4 Yang, Yisong 1 Dodziuk, Jozef 1 Gilman, Jane P. 1 Keen, Linda 1 Milnor Weinstein, Tilla 1 Kra, Irwin 1 Otway, Thomas H. 1 Talvacchia, Janet 1 Uhlenbeck, Karen Keskulla all top 5 Serials 6 Communications in Mathematical Physics 2 Pacific Journal of Mathematics 2 Proceedings of the American Mathematical Society 1 Communications on Pure and Applied Mathematics 1 Journal of Mathematical Analysis and Applications 1 Nonlinearity 1 Acta Mathematica 1 Advances in Mathematics 1 Compositio Mathematica 1 Journal of Differential Equations 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Proceedings of the National Academy of Sciences of the United States of America 1 Bulletin of the American Mathematical Society. New Series 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Journal of Mathematics and Mechanics 1 Proceedings A. Royal Society of London all top 5 Fields 13 Quantum theory (81-XX) 12 Differential geometry (53-XX) 11 Global analysis, analysis on manifolds (58-XX) 9 Partial differential equations (35-XX) 3 Fluid mechanics (76-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Manifolds and cell complexes (57-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Algebraic topology (55-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 20 Publications have been cited 202 times in 127 Documents Cited by ▼ Year ▼ Solutions to Yang-Mills equations that are not self-dual. Zbl 0731.53031Sibner, L. M.; Sibner, R. J.; Uhlenbeck, K. 43 1989 A non-linear Hodge-de Rham theorem. Zbl 0216.45703Sibner, L. M.; Sibner, R. J. 22 1970 Classification of singular Sobolev connections by their holonomy. Zbl 0747.53024Sibner, L. M.; Sibner, R. J. 21 1992 The isolated point singularity problem for the coupled Yang-Mills equations in higher dimensions. Zbl 0544.35082Sibner, L. M. 20 1985 Removable singularities of coupled Yang-Mills fields in \(R^ 3\). Zbl 0552.35028Sibner, L. M.; Sibner, R. J. 17 1984 Nonlinear Hodge theory: applications. Zbl 0408.58032Sibner, L. M.; Sibner, R. J. 12 1979 Removable singularities of Yang-Mills fields in \({\mathbb{R}}^ 3\). Zbl 0552.58037Sibner, L. M. 9 1984 Point singularities of coupled gauge fields with low energy. Zbl 0628.53078Otway, T. H.; Sibner, L. M. 7 1987 Singular Sobolev connections with holonomy. Zbl 0671.35025Sibner, L. M.; Sibner, R. J. 7 1988 An existence theorem for a non-regular variational problem. Zbl 0534.58022Sibner, L. M. 7 1983 A sub-elliptic estimate for a class of invariantly defined elliptic systems. Zbl 0474.35022Sibner, L. M.; Sibner, R. J. 6 1981 Abelian gauge theory on Riemann surfaces and new topological invariants. Zbl 0978.53059Sibner, Lesley; Sibner, Robert; Yang, Yisong 5 2000 Generalized Bernstein property and gravitational strings in Born-Infeld theory. Zbl 1117.58018Sibner, Lesley; Sibner, Robert; Yang, Yisong 5 2007 A boundary problem for an equation of mixed type having two transitions. Zbl 0183.10301Sibner, L. M. 5 1968 Transonic flow on an axially symmetric torus. Zbl 0445.76045Sibner, L. M.; Sibner, R. J. 4 1979 The Tricomi problem for an equation of abruptly changing type. Zbl 0137.29901Sibner, Lesley M. 3 1966 A maximum principle for compressible flow on a surface. Zbl 0396.35006Sibner, Lesley M.; Sibner, Robert J. 3 1978 A note on the Atiyah-Bott fixed point formula. Zbl 0307.58018Sibner, L. M.; Sibner, R. J. 2 1974 Multiple instantons representing higher-order Chern-Pontryagin classes, II. Zbl 1149.53308Sibner, Lesley; Sibner, Robert; Yang, Yisong 2 2003 The existence of nonminimal solutions of the Yang-Mills-Higgs equations over \(\mathbb{R}^ 3\) with arbitrary positive coupling constant. Zbl 0820.53037Sibner, L. M.; Talvacchia, J. 2 1994 Generalized Bernstein property and gravitational strings in Born-Infeld theory. Zbl 1117.58018Sibner, Lesley; Sibner, Robert; Yang, Yisong 5 2007 Multiple instantons representing higher-order Chern-Pontryagin classes, II. Zbl 1149.53308Sibner, Lesley; Sibner, Robert; Yang, Yisong 2 2003 Abelian gauge theory on Riemann surfaces and new topological invariants. Zbl 0978.53059Sibner, Lesley; Sibner, Robert; Yang, Yisong 5 2000 The existence of nonminimal solutions of the Yang-Mills-Higgs equations over \(\mathbb{R}^ 3\) with arbitrary positive coupling constant. Zbl 0820.53037Sibner, L. M.; Talvacchia, J. 2 1994 Classification of singular Sobolev connections by their holonomy. Zbl 0747.53024Sibner, L. M.; Sibner, R. J. 21 1992 Solutions to Yang-Mills equations that are not self-dual. Zbl 0731.53031Sibner, L. M.; Sibner, R. J.; Uhlenbeck, K. 43 1989 Singular Sobolev connections with holonomy. Zbl 0671.35025Sibner, L. M.; Sibner, R. J. 7 1988 Point singularities of coupled gauge fields with low energy. Zbl 0628.53078Otway, T. H.; Sibner, L. M. 7 1987 The isolated point singularity problem for the coupled Yang-Mills equations in higher dimensions. Zbl 0544.35082Sibner, L. M. 20 1985 Removable singularities of coupled Yang-Mills fields in \(R^ 3\). Zbl 0552.35028Sibner, L. M.; Sibner, R. J. 17 1984 Removable singularities of Yang-Mills fields in \({\mathbb{R}}^ 3\). Zbl 0552.58037Sibner, L. M. 9 1984 An existence theorem for a non-regular variational problem. Zbl 0534.58022Sibner, L. M. 7 1983 A sub-elliptic estimate for a class of invariantly defined elliptic systems. Zbl 0474.35022Sibner, L. M.; Sibner, R. J. 6 1981 Nonlinear Hodge theory: applications. Zbl 0408.58032Sibner, L. M.; Sibner, R. J. 12 1979 Transonic flow on an axially symmetric torus. Zbl 0445.76045Sibner, L. M.; Sibner, R. J. 4 1979 A maximum principle for compressible flow on a surface. Zbl 0396.35006Sibner, Lesley M.; Sibner, Robert J. 3 1978 A note on the Atiyah-Bott fixed point formula. Zbl 0307.58018Sibner, L. M.; Sibner, R. J. 2 1974 A non-linear Hodge-de Rham theorem. Zbl 0216.45703Sibner, L. M.; Sibner, R. J. 22 1970 A boundary problem for an equation of mixed type having two transitions. Zbl 0183.10301Sibner, L. M. 5 1968 The Tricomi problem for an equation of abruptly changing type. Zbl 0137.29901Sibner, Lesley M. 3 1966 all cited Publications top 5 cited Publications all top 5 Cited by 102 Authors 15 Sibner, Lesley M. 12 Otway, Thomas H. 11 Yang, Yisong 8 Sibner, Robert J. 4 Huang, Teng 4 Segert, Jan 3 Marini, Antonella 3 Oh, Sung-Jin 3 Sadun, Lorenzo A. 3 Wei, Shihshu Walter 3 Yuan, Hairong 2 Bor, Gil 2 Donaldson, Simon Kirwan 2 Etesi, Gábor 2 Feehan, Paul M. N. 2 Gursky, Matthew J. 2 Han, Xiaosen 2 Harris, Adam 2 Isobe, Takeshi 2 Kelleher, Casey Lynn 2 Nigsch, Eduard Albert 2 Oliveira, Goncalo 2 Parker, Thomas H. 2 Shevchishin, Vsevolod V. 2 Streets, Jeffrey D. 2 Tataru, Daniel 2 Uhlenbeck, Karen Keskulla 2 Zhang, Xi 1 Agress, Daniel J. 1 Anderson, Michael T. 1 Aviles, Patricio 1 Bando, Shigetoshi 1 Baptista, Joao M. 1 Bethuel, Fabrice 1 Brenner, A. V. 1 Cao, Huai-Dong 1 Carley, Holly K. 1 Case, Jeffrey S. 1 Chen, Shouxin 1 Chen, Xiuxiong 1 Ding, Qing 1 Dong, Yuxin 1 Dunne, Gerald V. 1 Gao, Zhifeng 1 Ge, Huabin 1 Gritsch, Ursula 1 Hamburger, Christoph 1 He, Yue 1 Hitchin, Nigel James 1 Hong, Minchun 1 Huang, Genggeng 1 Iwaniec, Tadeusz 1 Jardim, Marcos 1 Jarvis, Stuart 1 Jiang, Wenshuai 1 Kasue, Atsushi 1 Kiessling, Michael Karl-Heinz 1 Kondo, Kei-Ichi 1 Kudaeva, Z. V. 1 Lawrie, Andrew G. W. 1 Li, Jiayu 1 Likhomanenko, T. N. 1 Liu, Pan 1 Loo, Ken 1 Lutoborski, Adam 1 Manton, Nicholas S. 1 Marathe, Kishore B. 1 Martucci, Giovanni 1 Moiseev, Evgeniĭ Ivanovich 1 Nakajima, Hiraku 1 Narasimhan, Mudumbai Seshachalu 1 Negreiros, Caio J. C. 1 Norbury, Paul T. 1 Osher, Stanley Joel 1 Paternain, Gabriel Pedro 1 Romão, Nuno M. 1 Sadum, Lorenzo 1 Schabrun, Lorenz 1 Sergeev, Armen Glebovich 1 Sesum, Natasa 1 Shi, Guannan 1 Shubin, Mikhail Aleksandrovich 1 Song, Chong 1 Sorokina, N. G. 1 Speight, James Martin 1 Sun, Song 1 Tabak, Barbara 1 Takesue, Koki 1 Talvacchia, Janet 1 Tanaka, Yuuji 1 Tonegawa, Yoshihiro 1 Treibergs, Andrejs E. 1 Ünsal, Mithat 1 Wang, Shuguang 1 Wang, Xiuqin 1 Weber, Brian 1 Wehrheim, Katrin 1 Weiping, Li 1 Xu, Yiyan 1 Zhang, Jing ...and 2 more Authors all top 5 Cited in 46 Serials 26 Communications in Mathematical Physics 11 Journal of Geometry and Physics 10 Journal of Mathematical Physics 7 Advances in Mathematics 6 Mathematische Annalen 4 Journal of Mathematical Analysis and Applications 4 Proceedings of the American Mathematical Society 4 Bulletin of the American Mathematical Society. New Series 3 Nuclear Physics. B 3 Inventiones Mathematicae 3 Nonlinear Analysis. Theory, Methods & Applications 2 Israel Journal of Mathematics 2 Letters in Mathematical Physics 2 Acta Mathematica 2 Journal of Differential Equations 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 The Journal of Geometric Analysis 2 Communications in Partial Differential Equations 2 Calculus of Variations and Partial Differential Equations 2 Journal of High Energy Physics 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 International Journal of Modern Physics A 1 Archive for Rational Mechanics and Analysis 1 Communications on Pure and Applied Mathematics 1 Ukrainian Mathematical Journal 1 Compositio Mathematica 1 Duke Mathematical Journal 1 Journal of Soviet Mathematics 1 Manuscripta Mathematica 1 Rendiconti del Seminario Matematico della Università di Padova 1 Transactions of the American Mathematical Society 1 Topology and its Applications 1 Physica D 1 Journal of the American Mathematical Society 1 Forum Mathematicum 1 International Journal of Mathematics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Integral Transforms and Special Functions 1 Mathematical Physics, Analysis and Geometry 1 Journal of Inequalities and Applications 1 Acta Mathematica Sinica. English Series 1 Journal of Nonlinear Mathematical Physics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Science China. Mathematics 1 Mathematics 1 Vestnik KRAUNTS. Fiziko-Matematicheskie Nauki all top 5 Cited in 26 Fields 62 Differential geometry (53-XX) 62 Global analysis, analysis on manifolds (58-XX) 50 Quantum theory (81-XX) 36 Partial differential equations (35-XX) 11 Several complex variables and analytic spaces (32-XX) 10 Algebraic geometry (14-XX) 10 Fluid mechanics (76-XX) 8 Relativity and gravitational theory (83-XX) 7 Mechanics of particles and systems (70-XX) 6 Manifolds and cell complexes (57-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Functional analysis (46-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 2 Real functions (26-XX) 2 Ordinary differential equations (34-XX) 2 Algebraic topology (55-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Abstract harmonic analysis (43-XX) 1 Numerical analysis (65-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.