Edit Profile (opens in new tab) Yang, Yisong Co-Author Distance Author ID: yang.yisong Published as: Yang, Yisong; Yang, Y. Further Spellings: 杨亦松 Homepage: https://cims.nyu.edu/people/profiles/YANG_Yisong.html External Links: MGP · ORCID · Google Scholar Documents Indexed: 133 Publications since 1982, including 2 Books 1 Contribution as Editor Co-Authors: 38 Co-Authors with 71 Joint Publications 1,509 Co-Co-Authors all top 5 Co-Authors 62 single-authored 13 Lin, Fang Hua 9 Spruck, Joel 7 Han, Xiaosen 6 Lin, Chang-Shou 5 Chen, Shouxin 5 Tchrakian, D. H. 4 Sibner, Lesley M. 4 Sibner, Robert J. 4 Zhang, Ruifeng 3 Gao, Zhifeng 3 Wang, Sheng 2 Gudnason, Sven Bjarke 2 McLeod, John Bryce 2 Tarantello, Gabriella 2 Xu, Chenmei 2 Zhang, Xiangqin 1 Caffarelli, Luis Ángel 1 Chen, Robin Ming 1 Chen, Xinfu 1 Du, Qiang 1 Duan, Jinqiao 1 Fu, Xinchu 1 Guo, Yujin 1 Hang, Fengbo 1 Hastings, Stuart P. 1 Huang, Genggeng 1 Lieb, Elliott Hershel 1 Marinov, Kaloyan 1 Medina, Luciano 1 O’Keeffe, David 1 Ponce, Augusto C. 1 Radu, Eugen 1 Roche, G. 1 Sakai, Norisuke 1 Spirn, Daniel P. 1 Wang, Tianze 1 Wang, Xiuqin 1 Zhao, Le all top 5 Serials 21 Communications in Mathematical Physics 17 Journal of Mathematical Physics 10 Letters in Mathematical Physics 9 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 8 Nuclear Physics. B 4 Journal of Mathematical Analysis and Applications 4 Journal of Functional Analysis 3 Physica D 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Bulletin of the Australian Mathematical Society 2 Communications on Pure and Applied Mathematics 2 Nonlinearity 2 Journal of Differential Equations 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Annals of Physics 2 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 2 SIAM Journal on Mathematical Analysis 2 Nonlinear Analysis. Real World Applications 1 Modern Physics Letters A 1 Classical and Quantum Gravity 1 Helvetica Physica Acta 1 IMA Journal of Applied Mathematics 1 Mathematical Methods in the Applied Sciences 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Bulletin of the London Mathematical Society 1 Canadian Mathematical Bulletin 1 Proceedings of the American Mathematical Society 1 Quarterly of Applied Mathematics 1 Transactions of the American Mathematical Society 1 Journal of Mathematics. Wuhan University 1 Science in China. Series A 1 Bulletin of the Institute of Mathematics. Academia Sinica 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Journal of Physics A: Mathematical and General 1 SIAM Journal on Applied Mathematics 1 Acta Mathematica Scientia 1 Discrete and Continuous Dynamical Systems 1 Journal of High Energy Physics 1 Annales Henri Poincaré 1 Physical Review Letters 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Pure and Applied Mathematics Quarterly 1 Interdisciplinary Mathematical Sciences 1 Nonlinear Analysis. Theory, Methods & Applications 1 Proceedings A. Royal Society of London all top 5 Fields 75 Quantum theory (81-XX) 59 Partial differential equations (35-XX) 27 Global analysis, analysis on manifolds (58-XX) 25 Relativity and gravitational theory (83-XX) 18 Differential geometry (53-XX) 14 Statistical mechanics, structure of matter (82-XX) 10 Optics, electromagnetic theory (78-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 7 Numerical analysis (65-XX) 5 Ordinary differential equations (34-XX) 5 Integral equations (45-XX) 5 Mechanics of particles and systems (70-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Manifolds and cell complexes (57-XX) 4 Fluid mechanics (76-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Real functions (26-XX) 2 Algebraic topology (55-XX) 2 Mechanics of deformable solids (74-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 Abstract harmonic analysis (43-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 103 Publications have been cited 1,270 times in 629 Documents Cited by ▼ Year ▼ Vortex condensation in the Chern-Simons Higgs model: An existence theorem. Zbl 0846.58063Caffarelli, Luis A.; Yang, Yisong 122 1995 Fourth-order two-point boundary value problems. Zbl 0671.34016Yang, Yisong 80 1988 The existence of non-topological solitons in the self-dual Chern-Simons theory. Zbl 0760.53063Spruck, Joel; Yang, Yisong 80 1992 Topological solutions in the self-dual Chern-Simons theory: Existence and approximation. Zbl 0836.35007Spruck, Joel; Yang, Yisong 70 1995 The relativistic non-Abelian Chern-Simons equations. Zbl 0874.58093Yang, Yisong 60 1997 Nonlinear non-local elliptic equation modelling electrostatic actuation. Zbl 1143.78001Lin, Fanghua; Yang, Yisong 59 2007 A nonlinear elliptic equation arising from gauge field theory and cosmology. Zbl 0813.35015Chen, Xinfu; Hastings, Stuart; McLeod, J. Bryce; Yang, Yisong 57 1994 On multivortices in the electroweak theory. I: Existence of periodic solutions. Zbl 0748.53059Spruck, Joel; Yang, Yisong 38 1992 A system of elliptic equations arising in Chern-Simons field theory. Zbl 1206.35096Lin, Chang-Shou; Ponce, Augusto C.; Yang, Yisong 38 2007 Abrikosov’s vortices in the critical coupling. Zbl 0753.35111Wang, Sheng; Yang, Yisong 36 1992 Existence of energy minimizers as stable knotted solitons in the Faddeev model. Zbl 1065.81118Lin, Fanghua; Yang, Yisong 23 2004 Prescribing topological defects for the coupled Einstein and Abelian Higgs equations. Zbl 0846.58078Yang, Yisong 22 1995 A necessary and sufficient condition for the existence of multisolitons in a self-dual gauged sigma model. Zbl 0857.58045Yang, Yisong 21 1996 Existence of two-dimensional Skyrmions via the concentration-compactness method. Zbl 1059.81184Lin, Fanghua; Yang, Yisong 20 2004 Classical solutions in the Born-Infeld theory. Zbl 1122.78301Yang, Yisong 20 2000 A matrix trace inequality. Zbl 0651.15018Yang, Yisong 19 1988 On multivortices in the electroweak theory. II: Existence of Bogomol’nyi solutions in \(\mathbb R^2\). Zbl 0748.53060Spruck, Joel; Yang, Yisong 19 1992 Non-abelian multiple vortices in supersymmetric field theory. Zbl 1216.81128Lin, Chang-Shou; Yang, Yisong 19 2011 Chern-Simons vortices in the Gudnason model. Zbl 1296.35153Han, Xiaosen; Lin, Chang-Shou; Tarantello, Gabriella; Yang, Yisong 19 2014 Sharp existence and uniqueness theorems for non-Abelian multiple vortex solutions. Zbl 1208.81146Lin, Chang-Shou; Yang, Yisong 17 2011 Non-abelian vortices in supersymmetric gauge field theory via direct methods. Zbl 1255.81216Lieb, Elliott H.; Yang, Yisong 16 2012 Gauged harmonic maps, Born-Infeld electromagnetism, and magnetic vortices. Zbl 1141.58304Lin, Fanghua; Yang, Yisong 15 2003 The existence of solitons in gauged sigma models with broken symmetry: Some remarks. Zbl 0881.35101Yang, Yisong 14 1997 Coexistence of vortices and antivortices in an Abelian gauge theory. Zbl 0946.81050Yang, Yisong 13 1998 On the Bardeen-Cooper-Schrieffer integral equation in the theory of superconductivity. Zbl 0729.45009Yang, Yisong 12 1991 Energy splitting, substantial inequality, and minimization for the Faddeev and Skyrme models. Zbl 1113.81096Lin, Fanghua; Yang, Yisong 12 2007 Existence, regularity, and asymptotic behaviour of the solutions to the Ginzburg-Landau equations on \({\mathbb{R}}^ 3\). Zbl 0678.35086Yang, Yisong 11 1989 Self duality of the gauge field equations and the cosmological constant. Zbl 0809.53089Yang, Yisong 11 1994 Analysis on Faddeev knots and skyrme solitons: recent progress and open problems. Zbl 1200.81106Lin, Fanghua; Yang, Yisong 11 2007 Steady state solutions for nonlinear Schrödinger equation arising in optics. Zbl 1187.78058Yang, Yisong; Zhang, Ruifeng 11 2009 Boundary value problems of the Ginzburg-Landau equations. Zbl 0708.35074Yang, Yisong 10 1990 Strings of opposite magnetic charges in a gauge field theory. Zbl 0927.53056Yang, Yisong 10 1999 Existence of solutions for a generalized Yang-Mills theory. Zbl 0697.53078Yang, Yisong 9 1990 Resolution of Chern-Simons-Higgs vortex equations. Zbl 1339.35258Han, Xiaosen; Lin, Chang-Shou; Yang, Yisong 9 2016 Existence of multiple vortices in supersymmetric gauge field theory. Zbl 1371.81283Chen, Shouxin; Yang, Yisong 8 2012 The uniqueness and approximation of a positive solution of the Bardeen-Cooper-Schrieffer gap equation. Zbl 1054.82036McLeod, J. Bryce; Yang, Yisong 8 2000 Regular stationary solutions of the cylindrically symmetric Einstein-matter-gauge equations. Zbl 0858.53068Spruck, Joel; Yang, Yisong 8 1995 Skyrme models with self-dual limits: \(d=2,3\). Zbl 0864.58065Arthur, K.; Roche, G.; Tchrakian, D. H.; Yang, Yisong 8 1996 Electrically and magnetically charged vortices in the Chern-Simons-Higgs theory. Zbl 1186.81085Chen, Robin Ming; Guo, Yujin; Spirn, Daniel; Yang, Yisong 8 2009 On a system of nonlinear elliptic equations arising in theoretical physics. Zbl 0942.35069Yang, Yisong 8 2000 Magnetic impurity inspired abelian Higgs vortices. Zbl 1388.81539Han, Xiaosen; Yang, Yisong 8 2016 Global spatially periodic solutions to the Ginzburg-Landau equation. Zbl 0676.35076Yang, Yisong 7 1988 An equivalence theorem for string solutions of the Einstein matter-gauge equations. Zbl 0779.53058Yang, Yisong 7 1992 Moduli space of BPS walls in supersymmetric gauge theories. Zbl 1138.81037Sakai, Norisuke; Yang, Yisong 7 2006 Mathematical analysis of the multiband BCS gap equations in superconductivity. Zbl 1062.82060Yang, Yisong 6 2005 Dually charged particle-like solutions in the Weinberg-Salam theory. Zbl 0938.58018Yang, Yisong 6 1998 Self-dual monopoles in a seven-dimensional gauge theory. Zbl 0721.35063Yang, Yisong 6 1990 String-like defects and fractional total curvature in a gauged harmonic map model. Zbl 0931.35146Yang, Yisong 6 1998 Existence of optical vortices. Zbl 1293.35307Yang, Yisong; Zhang, Ruifeng 6 2014 Symmetric superconducting states in thin films. Zbl 0758.35075Wang, Sheng; Yang, Yisong 5 1992 The critical temperature and gap solution in the Bardeen-Cooper- Schrieffer theory of superconductivity. Zbl 0787.65105Du, Qiang; Yang, Yisong 5 1993 Topological solitons in the Weinberg-Salam theory. Zbl 0884.35160Yang, Yisong 5 1997 Static cosmic strings on \(S^ 2\) and criticality. Zbl 0866.53075Yang, Yisong 5 1997 Proof of the Julia-Zee theorem. Zbl 1269.58005Spruck, Joel; Yang, Yisong 5 2009 Existence of static BPS monopoles and dyons in arbitrary \((4p-1)\)-dimensional spaces. Zbl 1108.58010Wang, Xiuqin; Yang, Yisong 5 2006 Generalized Bernstein property and gravitational strings in Born-Infeld theory. Zbl 1117.58018Sibner, Lesley; Sibner, Robert; Yang, Yisong 5 2007 Existence of the massive SO(3) vortices. Zbl 0735.58049Yang, Yisong 5 1991 A generalized self-dual Chern-Simons Higgs theory. Zbl 0758.35067Yang, Yisong 5 1991 Abelian gauge theory on Riemann surfaces and new topological invariants. Zbl 0978.53059Sibner, Lesley; Sibner, Robert; Yang, Yisong 5 2000 Existence theorems for vortices in the Aharony-Bergman-Jaferis-Maldacena model. Zbl 1306.81414Han, Xiaosen; Yang, Yisong 5 2015 Dynamics of electrostatic microelectromechanical systems actuators. Zbl 1274.74050Yang, Yisong; Zhang, Ruifeng; Zhao, Le 5 2012 Relativistic Chern-Simons-Higgs vortex equations. Zbl 1344.35115Han, Xiaosen; Yang, Yisong 5 2016 Domain wall equations, Hessian of superpotential, and Bogomol’nyi bounds. Zbl 1332.81133Chen, Shouxin; Yang, Yisong 5 2016 Solutions of the generalized Bogomol’nyi equations via monotone iterations. Zbl 0767.35085Wang, Sheng; Yang, Yisong 4 1992 The existence of Ginzburg-Landau solutions on the plane by a direct variational method. Zbl 0836.35137Yang, Yisong 4 1994 The Ginzburg-Landau equations for superconducting films and the Meissner effect. Zbl 0702.76127Yang, Yisong 4 1990 On a vegetation pattern formation model governed by a nonlinear parabolic system. Zbl 1303.92127Marinov, Kaloyan; Wang, Tianze; Yang, Yisong 4 2013 Existence theorems for periodic non-relativistic Maxwell-Chern-Simons solitons. Zbl 0848.35110Spruck, Joel; Yang, Yisong 4 1996 Existence of Faddeev knots in general Hopf dimensions. Zbl 1197.58006Hang, Fengbo; Lin, Fanghua; Yang, Yisong 4 2009 Static knot energy, Hopf charge, and universal growth law. Zbl 1178.58005Lin, Fanghua; Yang, Yisong 4 2006 The Lee-Weinberg magnetic monopole of unit charge: Existence and uniqueness. Zbl 0937.58013Yang, Yisong 4 1998 Convergence of the pseudospectral method for the Ginzburg-Landau equation. Zbl 0702.35207Yang, Yisong 3 1990 Chern-Simons solitons and a nonlinear elliptic equation. Zbl 0922.35052Yang, Yisong 3 1998 Solutions to the master equations governing fractional vortices. Zbl 1259.35190Lin, Chang-Shou; Tarantello, Gabriella; Yang, Yisong 3 2013 The existence of generalised self-dual Chern-Simons vortices. Zbl 0851.35112Tchrakian, D. H.; Yang, Yisong 3 1996 Multiple instantons representing higher-order Chern-Pontryagin classes. Zbl 0885.53070Spruck, Joel; Tchrakian, D. H.; Yang, Yisong 3 1997 Prescribing zeros and poles on a compact Riemann surface for a gravitationally coupled Abelian gauge field theory. Zbl 1077.83061Yang, Y. 3 2004 Electrically charged solitons in gauge field theory. Zbl 1240.81020Yang, Yisong 3 2010 Phase transition solutions in geometrically constrained magnetic domain wall models. Zbl 1309.37069Chen, Shouxin; Yang, Yisong 3 2010 Topologically stratified energy minimizers in a product abelian field theory. Zbl 1329.81259Han, Xiaosen; Yang, Yisong 3 2015 On the Abelian Higgs models with sources. Zbl 0662.35115Yang, Yisong 2 1991 On Pokrovskii’s anisotropic gap equations in superconductivity theory. Zbl 1120.82313Yang, Yisong 2 2003 Existence of dyons in the coupled Georgi-Glashow-Skyrme model. Zbl 1213.81219Lin, Fanghua; Yang, Yisong 2 2011 Vortices on asymptotically Euclidean Riemann surfaces. Zbl 0738.32018Yang, Yisong 2 1990 Abelian Hopfions of the \(\mathbb{CP}^n\) model on \(\mathbb{R}^{2n+1}\) and a fractionally powered topological lower bound. Zbl 1282.81127Radu, Eugen; Tchrakian, D. H.; Yang, Yisong 2 2013 Multiple instantons representing higher-order Chern-Pontryagin classes, II. Zbl 1149.53308Sibner, Lesley; Sibner, Robert; Yang, Yisong 2 2003 Erratum: “Steady state solutions for nonlinear Schrödinger equation arising in optics”. Zbl 1310.78013Yang, Yisong; Zhang, Ruifeng 2 2010 Cosmic strings in a product Abelian gauge field theory. Zbl 1323.83005Yang, Yisong 2 2014 Almost periodic solutions of nonlinear parabolic equations. Zbl 0653.35045Yang, Yisong 1 1988 On the Ginzburg-Landau wave equation. Zbl 0663.35095Yang, Yisong 1 1990 On the global behaviour of symmetric skyrmions. Zbl 0691.49037Yang, Yisong 1 1990 Blow-up of the SU(2,\({\mathbb{C}})\) Yang-Mills fields. Zbl 0702.53077Yang, Yisong 1 1990 Existence of dyons in minimally gauged Skyrme model via constrained minimization. Zbl 1242.81106Gao, Zhifeng; Yang, Yisong 1 2012 Generalized Skyrme model on higher-dimensional Riemannian manifolds. Zbl 0763.53072Yang, Yisong 1 1989 Charged cosmological dust solutions of the coupled Einstein and Maxwell equations. Zbl 1195.35287Spruck, Joel; Yang, Yisong 1 2010 Dyonically charged black holes arising in generalized Born-Infeld theory of electromagnetism. Zbl 1494.78008Yang, Yisong 1 2022 Sigma models coupled with abelian gauge fields. Zbl 0986.81076O’Keeffe, D.; Tchrakian, D. H.; Yang, Yisong 1 1998 A concise text on advanced linear algebra. Zbl 1311.15001Yang, Yisong 1 2015 Determination of gap solution and critical temperature in doped graphene superconductivity. Zbl 1372.82018Xu, Chenmei; Yang, Yisong 1 2017 Determination of angle of light deflection in higher-derivative gravity theories. Zbl 1387.83071Xu, Chenmei; Yang, Yisong 1 2018 Dyonically charged black holes arising in generalized Born-Infeld theory of electromagnetism. Zbl 1494.78008Yang, Yisong 1 2022 Dilaton mass formulas in a hairy binary black hole model. Zbl 1448.83017Chen, Shouxin; Yang, Yisong 1 2020 Domain wall solitons arising in classical gauge field theories. Zbl 1418.35070Cao, Lei; Chen, Shouxin; Yang, Yisong 1 2019 Integer-squared laws for global vortices in the Born-Infeld wave equations. Zbl 1415.35236Gao, Zhifeng; Gudnason, Sven Bjarke; Yang, Yisong 1 2019 Determination of angle of light deflection in higher-derivative gravity theories. Zbl 1387.83071Xu, Chenmei; Yang, Yisong 1 2018 Determination of gap solution and critical temperature in doped graphene superconductivity. Zbl 1372.82018Xu, Chenmei; Yang, Yisong 1 2017 Resolution of Chern-Simons-Higgs vortex equations. Zbl 1339.35258Han, Xiaosen; Lin, Chang-Shou; Yang, Yisong 9 2016 Magnetic impurity inspired abelian Higgs vortices. Zbl 1388.81539Han, Xiaosen; Yang, Yisong 8 2016 Relativistic Chern-Simons-Higgs vortex equations. Zbl 1344.35115Han, Xiaosen; Yang, Yisong 5 2016 Domain wall equations, Hessian of superpotential, and Bogomol’nyi bounds. Zbl 1332.81133Chen, Shouxin; Yang, Yisong 5 2016 Existence theorems for vortices in the Aharony-Bergman-Jaferis-Maldacena model. Zbl 1306.81414Han, Xiaosen; Yang, Yisong 5 2015 Topologically stratified energy minimizers in a product abelian field theory. Zbl 1329.81259Han, Xiaosen; Yang, Yisong 3 2015 A concise text on advanced linear algebra. Zbl 1311.15001Yang, Yisong 1 2015 Chern-Simons vortices in the Gudnason model. Zbl 1296.35153Han, Xiaosen; Lin, Chang-Shou; Tarantello, Gabriella; Yang, Yisong 19 2014 Existence of optical vortices. Zbl 1293.35307Yang, Yisong; Zhang, Ruifeng 6 2014 Cosmic strings in a product Abelian gauge field theory. Zbl 1323.83005Yang, Yisong 2 2014 On a vegetation pattern formation model governed by a nonlinear parabolic system. Zbl 1303.92127Marinov, Kaloyan; Wang, Tianze; Yang, Yisong 4 2013 Solutions to the master equations governing fractional vortices. Zbl 1259.35190Lin, Chang-Shou; Tarantello, Gabriella; Yang, Yisong 3 2013 Abelian Hopfions of the \(\mathbb{CP}^n\) model on \(\mathbb{R}^{2n+1}\) and a fractionally powered topological lower bound. Zbl 1282.81127Radu, Eugen; Tchrakian, D. H.; Yang, Yisong 2 2013 Non-abelian vortices in supersymmetric gauge field theory via direct methods. Zbl 1255.81216Lieb, Elliott H.; Yang, Yisong 16 2012 Existence of multiple vortices in supersymmetric gauge field theory. Zbl 1371.81283Chen, Shouxin; Yang, Yisong 8 2012 Dynamics of electrostatic microelectromechanical systems actuators. Zbl 1274.74050Yang, Yisong; Zhang, Ruifeng; Zhao, Le 5 2012 Existence of dyons in minimally gauged Skyrme model via constrained minimization. Zbl 1242.81106Gao, Zhifeng; Yang, Yisong 1 2012 Non-abelian multiple vortices in supersymmetric field theory. Zbl 1216.81128Lin, Chang-Shou; Yang, Yisong 19 2011 Sharp existence and uniqueness theorems for non-Abelian multiple vortex solutions. Zbl 1208.81146Lin, Chang-Shou; Yang, Yisong 17 2011 Existence of dyons in the coupled Georgi-Glashow-Skyrme model. Zbl 1213.81219Lin, Fanghua; Yang, Yisong 2 2011 Electrically charged solitons in gauge field theory. Zbl 1240.81020Yang, Yisong 3 2010 Phase transition solutions in geometrically constrained magnetic domain wall models. Zbl 1309.37069Chen, Shouxin; Yang, Yisong 3 2010 Erratum: “Steady state solutions for nonlinear Schrödinger equation arising in optics”. Zbl 1310.78013Yang, Yisong; Zhang, Ruifeng 2 2010 Charged cosmological dust solutions of the coupled Einstein and Maxwell equations. Zbl 1195.35287Spruck, Joel; Yang, Yisong 1 2010 Steady state solutions for nonlinear Schrödinger equation arising in optics. Zbl 1187.78058Yang, Yisong; Zhang, Ruifeng 11 2009 Electrically and magnetically charged vortices in the Chern-Simons-Higgs theory. Zbl 1186.81085Chen, Robin Ming; Guo, Yujin; Spirn, Daniel; Yang, Yisong 8 2009 Proof of the Julia-Zee theorem. Zbl 1269.58005Spruck, Joel; Yang, Yisong 5 2009 Existence of Faddeev knots in general Hopf dimensions. Zbl 1197.58006Hang, Fengbo; Lin, Fanghua; Yang, Yisong 4 2009 Nonlinear non-local elliptic equation modelling electrostatic actuation. Zbl 1143.78001Lin, Fanghua; Yang, Yisong 59 2007 A system of elliptic equations arising in Chern-Simons field theory. Zbl 1206.35096Lin, Chang-Shou; Ponce, Augusto C.; Yang, Yisong 38 2007 Energy splitting, substantial inequality, and minimization for the Faddeev and Skyrme models. Zbl 1113.81096Lin, Fanghua; Yang, Yisong 12 2007 Analysis on Faddeev knots and skyrme solitons: recent progress and open problems. Zbl 1200.81106Lin, Fanghua; Yang, Yisong 11 2007 Generalized Bernstein property and gravitational strings in Born-Infeld theory. Zbl 1117.58018Sibner, Lesley; Sibner, Robert; Yang, Yisong 5 2007 Moduli space of BPS walls in supersymmetric gauge theories. Zbl 1138.81037Sakai, Norisuke; Yang, Yisong 7 2006 Existence of static BPS monopoles and dyons in arbitrary \((4p-1)\)-dimensional spaces. Zbl 1108.58010Wang, Xiuqin; Yang, Yisong 5 2006 Static knot energy, Hopf charge, and universal growth law. Zbl 1178.58005Lin, Fanghua; Yang, Yisong 4 2006 Mathematical analysis of the multiband BCS gap equations in superconductivity. Zbl 1062.82060Yang, Yisong 6 2005 Existence of energy minimizers as stable knotted solitons in the Faddeev model. Zbl 1065.81118Lin, Fanghua; Yang, Yisong 23 2004 Existence of two-dimensional Skyrmions via the concentration-compactness method. Zbl 1059.81184Lin, Fanghua; Yang, Yisong 20 2004 Prescribing zeros and poles on a compact Riemann surface for a gravitationally coupled Abelian gauge field theory. Zbl 1077.83061Yang, Y. 3 2004 Gauged harmonic maps, Born-Infeld electromagnetism, and magnetic vortices. Zbl 1141.58304Lin, Fanghua; Yang, Yisong 15 2003 On Pokrovskii’s anisotropic gap equations in superconductivity theory. Zbl 1120.82313Yang, Yisong 2 2003 Multiple instantons representing higher-order Chern-Pontryagin classes, II. Zbl 1149.53308Sibner, Lesley; Sibner, Robert; Yang, Yisong 2 2003 Classical solutions in the Born-Infeld theory. Zbl 1122.78301Yang, Yisong 20 2000 The uniqueness and approximation of a positive solution of the Bardeen-Cooper-Schrieffer gap equation. Zbl 1054.82036McLeod, J. Bryce; Yang, Yisong 8 2000 On a system of nonlinear elliptic equations arising in theoretical physics. Zbl 0942.35069Yang, Yisong 8 2000 Abelian gauge theory on Riemann surfaces and new topological invariants. Zbl 0978.53059Sibner, Lesley; Sibner, Robert; Yang, Yisong 5 2000 Strings of opposite magnetic charges in a gauge field theory. Zbl 0927.53056Yang, Yisong 10 1999 Coexistence of vortices and antivortices in an Abelian gauge theory. Zbl 0946.81050Yang, Yisong 13 1998 Dually charged particle-like solutions in the Weinberg-Salam theory. Zbl 0938.58018Yang, Yisong 6 1998 String-like defects and fractional total curvature in a gauged harmonic map model. Zbl 0931.35146Yang, Yisong 6 1998 The Lee-Weinberg magnetic monopole of unit charge: Existence and uniqueness. Zbl 0937.58013Yang, Yisong 4 1998 Chern-Simons solitons and a nonlinear elliptic equation. Zbl 0922.35052Yang, Yisong 3 1998 Sigma models coupled with abelian gauge fields. Zbl 0986.81076O’Keeffe, D.; Tchrakian, D. H.; Yang, Yisong 1 1998 The relativistic non-Abelian Chern-Simons equations. Zbl 0874.58093Yang, Yisong 60 1997 The existence of solitons in gauged sigma models with broken symmetry: Some remarks. Zbl 0881.35101Yang, Yisong 14 1997 Topological solitons in the Weinberg-Salam theory. Zbl 0884.35160Yang, Yisong 5 1997 Static cosmic strings on \(S^ 2\) and criticality. Zbl 0866.53075Yang, Yisong 5 1997 Multiple instantons representing higher-order Chern-Pontryagin classes. Zbl 0885.53070Spruck, Joel; Tchrakian, D. H.; Yang, Yisong 3 1997 A necessary and sufficient condition for the existence of multisolitons in a self-dual gauged sigma model. Zbl 0857.58045Yang, Yisong 21 1996 Skyrme models with self-dual limits: \(d=2,3\). Zbl 0864.58065Arthur, K.; Roche, G.; Tchrakian, D. H.; Yang, Yisong 8 1996 Existence theorems for periodic non-relativistic Maxwell-Chern-Simons solitons. Zbl 0848.35110Spruck, Joel; Yang, Yisong 4 1996 The existence of generalised self-dual Chern-Simons vortices. Zbl 0851.35112Tchrakian, D. H.; Yang, Yisong 3 1996 Vortex condensation in the Chern-Simons Higgs model: An existence theorem. Zbl 0846.58063Caffarelli, Luis A.; Yang, Yisong 122 1995 Topological solutions in the self-dual Chern-Simons theory: Existence and approximation. Zbl 0836.35007Spruck, Joel; Yang, Yisong 70 1995 Prescribing topological defects for the coupled Einstein and Abelian Higgs equations. Zbl 0846.58078Yang, Yisong 22 1995 Regular stationary solutions of the cylindrically symmetric Einstein-matter-gauge equations. Zbl 0858.53068Spruck, Joel; Yang, Yisong 8 1995 A nonlinear elliptic equation arising from gauge field theory and cosmology. Zbl 0813.35015Chen, Xinfu; Hastings, Stuart; McLeod, J. Bryce; Yang, Yisong 57 1994 Self duality of the gauge field equations and the cosmological constant. Zbl 0809.53089Yang, Yisong 11 1994 The existence of Ginzburg-Landau solutions on the plane by a direct variational method. Zbl 0836.35137Yang, Yisong 4 1994 The critical temperature and gap solution in the Bardeen-Cooper- Schrieffer theory of superconductivity. Zbl 0787.65105Du, Qiang; Yang, Yisong 5 1993 The existence of non-topological solitons in the self-dual Chern-Simons theory. Zbl 0760.53063Spruck, Joel; Yang, Yisong 80 1992 On multivortices in the electroweak theory. I: Existence of periodic solutions. Zbl 0748.53059Spruck, Joel; Yang, Yisong 38 1992 Abrikosov’s vortices in the critical coupling. Zbl 0753.35111Wang, Sheng; Yang, Yisong 36 1992 On multivortices in the electroweak theory. II: Existence of Bogomol’nyi solutions in \(\mathbb R^2\). Zbl 0748.53060Spruck, Joel; Yang, Yisong 19 1992 An equivalence theorem for string solutions of the Einstein matter-gauge equations. Zbl 0779.53058Yang, Yisong 7 1992 Symmetric superconducting states in thin films. Zbl 0758.35075Wang, Sheng; Yang, Yisong 5 1992 Solutions of the generalized Bogomol’nyi equations via monotone iterations. Zbl 0767.35085Wang, Sheng; Yang, Yisong 4 1992 On the Bardeen-Cooper-Schrieffer integral equation in the theory of superconductivity. Zbl 0729.45009Yang, Yisong 12 1991 Existence of the massive SO(3) vortices. Zbl 0735.58049Yang, Yisong 5 1991 A generalized self-dual Chern-Simons Higgs theory. Zbl 0758.35067Yang, Yisong 5 1991 On the Abelian Higgs models with sources. Zbl 0662.35115Yang, Yisong 2 1991 Boundary value problems of the Ginzburg-Landau equations. Zbl 0708.35074Yang, Yisong 10 1990 Existence of solutions for a generalized Yang-Mills theory. Zbl 0697.53078Yang, Yisong 9 1990 Self-dual monopoles in a seven-dimensional gauge theory. Zbl 0721.35063Yang, Yisong 6 1990 The Ginzburg-Landau equations for superconducting films and the Meissner effect. Zbl 0702.76127Yang, Yisong 4 1990 Convergence of the pseudospectral method for the Ginzburg-Landau equation. Zbl 0702.35207Yang, Yisong 3 1990 Vortices on asymptotically Euclidean Riemann surfaces. Zbl 0738.32018Yang, Yisong 2 1990 On the Ginzburg-Landau wave equation. Zbl 0663.35095Yang, Yisong 1 1990 On the global behaviour of symmetric skyrmions. Zbl 0691.49037Yang, Yisong 1 1990 Blow-up of the SU(2,\({\mathbb{C}})\) Yang-Mills fields. Zbl 0702.53077Yang, Yisong 1 1990 Existence, regularity, and asymptotic behaviour of the solutions to the Ginzburg-Landau equations on \({\mathbb{R}}^ 3\). Zbl 0678.35086Yang, Yisong 11 1989 Generalized Skyrme model on higher-dimensional Riemannian manifolds. Zbl 0763.53072Yang, Yisong 1 1989 Fourth-order two-point boundary value problems. Zbl 0671.34016Yang, Yisong 80 1988 ...and 3 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 625 Authors 57 Lin, Chang-Shou 57 Yang, Yisong 28 Han, Jongmin 25 Lee, Youngae 18 Choe, Kwangseok 17 Han, Xiaosen 17 Tarantello, Gabriella 15 Bartolucci, Daniele 14 Zhang, Ruifeng 13 Chen, Shouxin 13 Wei, Juncheng 13 Zhang, Lei 12 Dragomir, Sever Silvestru 12 Huang, Hsin-Yuan 12 Ma, Ruyun 12 Yang, Wen 11 Chern, Jann-Long 10 Laurençot, Philippe 10 Walker, Christoph 8 Chen, Zhiyou 8 Kim, Namkwon 8 Li, Yongxiang 8 Liu, Lishan 7 Ao, Weiwei 7 Huh, Hyungjin 7 Jevnikar, Aleks Yang Wen 7 Lai, Baishun 7 Song, Kyungwoo 7 Tchrakian, D. H. 7 Zhang, Xinguang 6 Chae, Dongho 6 Guo, Boling 6 Lindsay, Alan E. 6 Nitta, Muneto 6 Sohn, Juhee 6 Spirn, Daniel P. 6 Wang, Yuanming 6 Yan, Shusen 6 Yang, Sze-Guang 5 Chen, Chiun-Chuan 5 Garcia-Fernandez, Mario 5 Greco, Carlo Salvatore 5 Guo, Zongming 5 Lin, Fang Hua 5 Nam, Kwan Hui 5 Schechter, Martin 5 Spruck, Joel 5 Yang, Yunyan 4 Adam, Christoph 4 Agarwal, Ravi P. 4 Álvarez-Cónsul, Luis 4 Cassani, Daniele 4 Chen, Huyuan 4 Choi, Nari 4 García-Prada, Oscar 4 Gudnason, Sven Bjarke 4 Gui, Changfeng 4 Hainzl, Christian 4 Jiang, Daqing 4 Li, Fangfang 4 Malchiodi, Andrea 4 Moradifam, Amir 4 O’Regan, Donal 4 Sawado, Nobuyuki 4 Speight, James Martin 4 Wang, Guofang 4 Wereszczyński, Andrzej 4 Zhang, Mengjie 3 Bazeia, Dionisio 3 Chen, Robin Ming 3 Deuchert, Andreas 3 Esposito, Pierpaolo 3 Gao, Chenghua 3 Ghoussoub, Nassif A. 3 Guo, Yujin 3 Huang, Genggeng 3 Li, Jiayu 3 Marini, Antonella 3 Marques, Miguel A. L. 3 Medina, Luciano 3 Moon, Sang-Hyuck 3 Musso, Monica 3 Naumkin, Pavel Ivanovich 3 Otway, Thomas H. 3 Pingali, Vamsi Pritham 3 Shi, Guoliang 3 Sutcliffe, Paul Michael 3 Thorel, Alexandre 3 Wang, Jinxiang 3 Wei, Shihshu Walter 3 Xu, Chenmei 3 Yao, Chengjian 3 Ye, Dong 3 Yu, Yong 3 Zhang, Xiangqin 2 Amari, Yuki 2 An, Yulian 2 Battaglia, Luca 2 Ben Omrane, Hanen 2 Bonheure, Denis ...and 525 more Authors all top 5 Cited in 165 Serials 60 Journal of Mathematical Physics 39 Communications in Mathematical Physics 37 Journal of Mathematical Analysis and Applications 30 Calculus of Variations and Partial Differential Equations 29 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 26 Journal of Differential Equations 24 Journal of Functional Analysis 15 Journal of High Energy Physics 13 Annales de l’Institut Henri Poincaré. 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Mathematics 1 International Journal of Modern Physics B 1 American Mathematical Monthly 1 General Relativity and Gravitation 1 International Journal of Theoretical Physics 1 Lithuanian Mathematical Journal 1 Linear and Multilinear Algebra 1 Mathematical Methods in the Applied Sciences 1 Physics Letters. A 1 Reports on Mathematical Physics 1 Reviews of Modern Physics 1 Studia Mathematica 1 Reviews in Mathematical Physics 1 Annales de l’Institut Fourier 1 Annales Polonici Mathematici 1 Applied Mathematics and Optimization 1 Czechoslovak Mathematical Journal 1 Funkcialaj Ekvacioj. Serio Internacia 1 Journal of Differential Geometry 1 Journal of the Korean Mathematical Society 1 Manuscripta Mathematica 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Proceedings of the Edinburgh Mathematical Society. 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