Edit Profile (opens in new tab) Pan, Xingbin Compute Distance To: Compute Author ID: pan.xingbin Published as: Pan, Xing-Bin; Pan, Xingbin; Pan, Xing-bin; Pan, XingBin; Pan, X. B.; Pan, X. more...less Homepage: https://research.shanghai.nyu.edu/centers-and-institutes/math/people/xingbin-pan External Links: MGP · ORCID · ResearchGate · dblp Documents Indexed: 90 Publications since 1985 2 Contributions as Editor Reviewing Activity: 61 Reviews Co-Authors: 32 Co-Authors with 47 Joint Publications 1,540 Co-Co-Authors all top 5 Co-Authors 42 single-authored 8 Lu, Kening 7 Helffer, Bernard 5 Johnson, Russell Allan 5 Yi, Yingfei 4 Almog, Yaniv 3 Bates, Peter W. 3 Chen, Jun 3 Kachmar, Ayman 2 Du, Yihong 2 Fournais, Søren 2 Kim, Soojung 2 Lin, Fang Hua 2 Wang, Changyou 2 Wang, Xuefeng 1 Bianchi, Gabriele 1 Chow, Shui-Nee 1 Chung, Jaywan 1 Glowinski, Roland 1 Kang, Kyungkeun 1 Kim, Yong Jung 1 Kwon, Ohsang 1 Lin, Ping 1 Liu, Zhaoli 1 Mardare, Sorin 1 Miqueu, Jean-Philippe 1 Ni, Wei-Ming 1 Qi, Yuanwei 1 Sun, Jinxian 1 Takagi, Izumi 1 Xu, Xingwang 1 Zhang, Zhibing 1 Zhang, Zhitao all top 5 Serials 10 Journal of Mathematical Physics 7 Journal of Differential Equations 7 SIAM Journal on Mathematical Analysis 6 Communications in Mathematical Physics 4 Journal of Functional Analysis 4 Transactions of the American Mathematical Society 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 Calculus of Variations and Partial Differential Equations 4 Nonlinear Analysis. Theory, Methods & Applications 4 Journal of Elliptic and Parabolic Equations 3 Journal of Shandong University. Natural Science Edition 2 Journal of Mathematical Analysis and Applications 2 Nonlinearity 2 Journal of Partial Differential Equations 2 Discrete and Continuous Dynamical Systems 2 SN Partial Differential Equations and Applications 1 Archive for Rational Mechanics and Analysis 1 Communications on Pure and Applied Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Duke Mathematical Journal 1 Indiana University Mathematics Journal 1 Proceedings of the American Mathematical Society 1 Mathematica Numerica Sinica 1 Journal of Mathematics. Wuhan University 1 Chinese Annals of Mathematics. Series A 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Physica D 1 Northeastern Mathematical Journal 1 Communications in Partial Differential Equations 1 Journal of Dynamics and Differential Equations 1 Methods and Applications of Analysis 1 Communications on Applied Nonlinear Analysis 1 Mathematical Physics, Analysis and Geometry 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 International Journal of Numerical Analysis and Modeling 1 Cubo 1 Scientia Sinica. Mathematica all top 5 Fields 76 Partial differential equations (35-XX) 45 Statistical mechanics, structure of matter (82-XX) 11 Operator theory (47-XX) 11 Optics, electromagnetic theory (78-XX) 10 Fluid mechanics (76-XX) 8 Global analysis, analysis on manifolds (58-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 4 Mechanics of deformable solids (74-XX) 3 General and overarching topics; collections (00-XX) 3 Ordinary differential equations (34-XX) 3 Integral equations (45-XX) 3 Quantum theory (81-XX) 2 History and biography (01-XX) 2 Functional analysis (46-XX) 2 Numerical analysis (65-XX) 1 Differential geometry (53-XX) 1 Astronomy and astrophysics (85-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 74 Publications have been cited 736 times in 352 Documents Cited by ▼ Year ▼ Singular behavior of least-energy solutions of a semilinear Neumann problem involving critical Sobolev exponents. Zbl 0785.35041Ni, Wei-Ming; Pan, Xingbin; Takagi, Izumi 56 1992 Estimates of the upper critical field for the Ginzburg-Landau equations of superconductivity. Zbl 0934.35174Lu, Kening; Pan, Xing-Bin 52 1999 Eigenvalue problems of Ginzburg-Landau operator in bounded domains. Zbl 0943.35058Lu, Kening; Pan, Xing-Bin 35 1999 Surface nucleation of superconductivity in 3-dimensions. Zbl 0972.35152Lu, Kening; Pan, Xing-Bin 32 2000 Schrödinger operators with non-degenerately vanishing magnetic fields in bounded domains. Zbl 1004.35110Pan, Xing-Bin; Kwek, Keng-Huat 31 2002 Surface superconductivity in applied magnetic fields above \(H_{C_2}\). Zbl 1004.82020Pan, Xing-Bin 30 2002 Upper critical field and location of surface nucleation of superconductivity. (Champ surcritique et localisation de la nucléation de surface en supraconductivité.) Zbl 1060.35132Helffer, Bernard; Pan, Xing-Bin 27 2003 Gauge invariant eigenvalue problems in \(\mathbb R^2\) and in \(\mathbb R^2_{+}\). Zbl 1053.35124Lu, Kening; Pan, Xing-Bin 25 2000 Positive solutions of super-critical elliptic equations and asymptotics. Zbl 0793.35029Johnson, Russell A.; Pan, Xingbin; Yi, Yingfei 23 1993 Upper critical field for superconductors with edges and corners. Zbl 1006.35090Pan, Xing-Bin 20 2002 The Melnikov method and elliptic equations with critical exponent. Zbl 0818.35025Johnson, Russell A.; Pan, Xingbin; Yi, Yingfei 20 1994 Nucleation of instability of the Meissner state of 3-dimensional superconductors. Zbl 1137.82024Bates, Peter W.; Pan, Xing-Bin 17 2007 On a quasilinear system involving the operator curl. Zbl 1180.35055Pan, Xing-Bin 16 2009 Singular ground states of semilinear elliptic equations via invariant manifold theory. Zbl 0803.35039Johnson, Russell A.; Pan, Xingbin; Yi, Yingfei 15 1993 Surface superconductivity in \(3\) dimensions. Zbl 1051.35090Pan, Xing-Bin 15 2004 Blow-up behavior of ground states of semilinear elliptic equations in \(R^ n\) involving critical Sobolev exponents. Zbl 0761.35031Pan, Xingbin; Wang, Xuefeng 14 1992 Ginzburg-Landau equation with DeGennes boundary condition. Zbl 0873.35088Lu, Kening; Pan, Xingbin 13 1996 Landau-de Gennes model of liquid crystals and critical wave number. Zbl 1056.49005Pan, Xing-Bin 13 2003 Minimizing curl in a multiconnected domain. Zbl 1202.49006Pan, Xingbin 13 2009 Phase transition for potentials of high-dimensional wells. Zbl 1248.49059Lin, Fanghua; Pan, Xing-Bin; Wang, Changyou 12 2012 Magnetic field-induced instabilities in liquid crystals. Zbl 1128.82021Lin, Fanghua; Pan, Xing-Bin 12 2007 On an elliptic equation related to the blow-up phenomenon in the nonlinear Schrödinger equation. Zbl 0788.35041Johnson, Russell; Pan, Xingbin 11 1993 Positive solutions of the elliptic equation \(\Delta u + u^{(n+2)/(n-2)} + K(x) u^ q =0\) in \(\mathbb{R}^ n\) and in balls. Zbl 0801.35025Pan, Xingbin 11 1993 Singular solutions of the elliptic equation \(\Delta u- u+u^ p =0\). Zbl 0810.35028Johnson, Russell A.; Pan, Xingbin; Yi, Yingfei 10 1994 Superconductivity near the normal state under the action of electric currents and induced magnetic fields in \(\mathbb R^2\). Zbl 1201.35179Almog, Yaniv; Helffer, Bernard; Pan, Xing-Bin 10 2010 On a quasilinear system arising in the theory of superconductivity. Zbl 1216.35148Lieberman, Gary; Pan, Xing-Bin 10 2011 On a problem related to vortex nucleation of superconductivity. Zbl 1064.35057Pan, Xing-Bin; Kwek, Keng Huat 10 2002 Existence and regularity of solutions to quasilinear systems of Maxwell type and Maxwell-Stokes type. Zbl 1362.35294Pan, Xing-Bin 10 2016 Superconductivity near the normal state in a half-plane under the action of a perpendicular electric current and an induced magnetic field. Zbl 1267.82139Almog, Yaniv; Helffer, Bernard; Pan, Xing-Bin 10 2013 Yamabe equations on half-spaces. Zbl 0941.35025Bianchi, Gabriele; Pan, Xing-Bin 8 1999 Asymptotics of minimizers of variational problems involving curl functional. Zbl 0972.76011Pan, Xing-Bin; Qi, Yuanwei 8 2000 Erratum: Nucleation of instability of the Meissner state of 3-dimensional superconductors. Zbl 1151.82439Bates, Peter; Pan, Xing-Bin 8 2008 Semilinear Neumann problem in exterior domains. Zbl 0910.35058Pan, Xing-Bin; Wang, Xuefeng 7 1998 Further study on the effect of boundary conditions. Zbl 0832.35050Pan, Xing-Bin 7 1995 Superconductivity near the normal state in a half-plane under the action of a perpendicular electric current and an induced magnetic field. II: The large conductivity limit. Zbl 1263.82074Almog, Yaniv; Helffer, Bernard; Pan, Xing-Bin 7 2012 Condensation of least-energy solutions: The effect of boundary conditions. Zbl 0826.35037Pan, Xing-Bin 7 1995 Regularity of weak solutions to nonlinear Maxwell systems. Zbl 1334.78015Pan, Xing-Bin 7 2015 Condensation of least-energy solutions of a semilinear Neumann problem. Zbl 0814.35039Pan, Xingbin 5 1995 Superconductivity near critical temperature. Zbl 1062.82057Pan, Xing-Bin 5 2003 Asymptotics of solutions of a quasilinear system involving curl. Zbl 1314.35008Pan, Xing-Bin 5 2011 Functionals with operator curl in an extended magnetostatic Born-Infeld model. Zbl 1274.35372Chen, Jun; Pan, Xing-Bin 5 2013 Analogies between superconductors and liquid crystals: nucleation and critical fields. Zbl 1387.82057Pan, Xing-Bin 5 2007 Concentration behavior and lattice structure of 3D surface superconductivity in the half space. Zbl 1420.82025Fournais, Søren; Miqueu, Jean-Philippe; Pan, Xing-Bin 5 2019 Superconductivity and the Aharonov-Bohm effect. (Supraconductivité et effet Aharonov-Bohm.) Zbl 1416.82051Kachmar, Ayman; Pan, XingBin 5 2019 Oscillatory patterns in the Ginzburg-Landau model driven by the Aharonov-Bohm potential. Zbl 1455.82010Kachmar, Ayman; Pan, Xing-Bin 4 2020 Least energy solutions of semilinear Neumann problems and asymptotics. Zbl 0861.35028Pan, Xing-Bin; Xu, Xingwang 4 1996 Reduced Landau-de Gennes functional and surface smectic state of liquid crystals. Zbl 1153.49003Helffer, Bernard; Pan, Xing-Bin 4 2008 Multiple states and hysteresis for type I superconductors. Zbl 1110.82042Du, Y.; Pan, X. B. 4 2005 Variational and operator methods for Maxwell-Stokes system. Zbl 1435.35368Pan, Xing-Bin 3 2020 Superconducting films in perpendicular fields and the effect of the de Gennes parameter. Zbl 1044.35094Pan, Xing-Bin 3 2003 Landau-de Gennes model of liquid crystals with small Ginzburg-Landau parameter. Zbl 1101.82040Pan, Xing-Bin 3 2006 Quasilinear systems involving curl. Zbl 1391.35146Chen, Jun; Pan, Xing-Bin 3 2018 Nucleation of instability of Meissner state of superconductors and related mathematical problems. Zbl 1201.82063Pan, Xing-Bin 3 2010 Nodal sets of solutions of equations involving magnetic Schrödinger operator in three dimensions. Zbl 1144.81400Pan, Xing-Bin 3 2007 Meissner states of type II superconductors. Zbl 1410.82039Pan, Xing-Bin 3 2018 Mixed normal-superconducting states in the presence of strong electric currents. Zbl 1361.35171Almog, Yaniv; Helffer, Bernard; Pan, Xing-Bin 3 2017 Positive solutions of \(\Delta u+K(x)u^ p=0\) without decay conditions on \(K(x)\). Zbl 0763.35037Pan, Xingbin 2 1992 Partial Sobolev spaces and anisotropic smectic liquid crystals. Zbl 1305.82059Pan, Xing-Bin 2 2014 The general magneto-static model and Maxwell-Stokes system with topological parameters. Zbl 1466.35180Pan, Xing-Bin 2 2021 Discontinuous nonlinearity and finite time extinction. Zbl 1431.35073Chung, Jaywan; Kim, Yong-Jung; Kwon, Ohsang; Pan, Xingbin 2 2020 Anisotropic nematic liquid crystals in an applied magnetic field. Zbl 1439.82052Kim, Soojung; Pan, Xing-Bin 2 2020 Ginzburg-Landau system and surface nucleation of superconductivity. Zbl 1016.35066Lu, Kening; Pan, Xing-Bin 2 2001 The first eigenvalue of Ginzburg-Landau operator. Zbl 0935.35108Lu, Kening; Pan, Xingbin 2 1997 A three-stage operator-splitting/finite element method for the numerical simulation of liquid crystal flow. Zbl 1158.82314Glowinski, Roland; Lin, Ping; Pan, Xing-Bin 2 2009 Critical elastic coefficient of liquid crystals and hysteresis. Zbl 1145.82027Pan, Xing-Bin 2 2008 Directional curl spaces and applications to the Meissner states of anisotropic superconductors. Zbl 1361.82040Pan, Xing-Bin 2 2017 An extended magnetostatic Born-Infeld model with a concave lower order term. Zbl 1322.78014Chen, Jun; Pan, Xing-Bin 2 2013 Existence of singular solutions of semilinear elliptic equation in \(R^ n\). Zbl 0749.35013Pan, Xingbin 1 1991 Eigenvectors of non-monotone operators and an iterative method. Zbl 0654.65044Pan, Xingbin 1 1988 On a quasilinear parabolic curl system motivated by time evolution of Meissner states of superconductors. Zbl 1479.82104Kang, Kyungkeun; Pan, Xing-bin 1 2021 Singular limit of quasilinear Neumann problems. Zbl 0830.35041Pan, Xing-Bin 1 1995 Existence of surface smectic states of liquid crystals. Zbl 1380.82054Fournais, Søren; Kachmar, Ayman; Pan, Xing-Bin 1 2018 Existence and regularity of weak solutions for a thermoelectric model. Zbl 1421.35354Pan, Xing-Bin; Zhang, Zhibing 1 2019 An eigenvalue variation problem of magnetic Schrödinger operator in three dimensions. Zbl 1171.82016Pan, Xing-Bin 1 2009 The general magneto-static model and Maxwell-Stokes system with topological parameters. Zbl 1466.35180Pan, Xing-Bin 2 2021 On a quasilinear parabolic curl system motivated by time evolution of Meissner states of superconductors. Zbl 1479.82104Kang, Kyungkeun; Pan, Xing-bin 1 2021 Oscillatory patterns in the Ginzburg-Landau model driven by the Aharonov-Bohm potential. Zbl 1455.82010Kachmar, Ayman; Pan, Xing-Bin 4 2020 Variational and operator methods for Maxwell-Stokes system. Zbl 1435.35368Pan, Xing-Bin 3 2020 Discontinuous nonlinearity and finite time extinction. Zbl 1431.35073Chung, Jaywan; Kim, Yong-Jung; Kwon, Ohsang; Pan, Xingbin 2 2020 Anisotropic nematic liquid crystals in an applied magnetic field. Zbl 1439.82052Kim, Soojung; Pan, Xing-Bin 2 2020 Concentration behavior and lattice structure of 3D surface superconductivity in the half space. Zbl 1420.82025Fournais, Søren; Miqueu, Jean-Philippe; Pan, Xing-Bin 5 2019 Superconductivity and the Aharonov-Bohm effect. (Supraconductivité et effet Aharonov-Bohm.) Zbl 1416.82051Kachmar, Ayman; Pan, XingBin 5 2019 Existence and regularity of weak solutions for a thermoelectric model. Zbl 1421.35354Pan, Xing-Bin; Zhang, Zhibing 1 2019 Quasilinear systems involving curl. Zbl 1391.35146Chen, Jun; Pan, Xing-Bin 3 2018 Meissner states of type II superconductors. Zbl 1410.82039Pan, Xing-Bin 3 2018 Existence of surface smectic states of liquid crystals. Zbl 1380.82054Fournais, Søren; Kachmar, Ayman; Pan, Xing-Bin 1 2018 Mixed normal-superconducting states in the presence of strong electric currents. Zbl 1361.35171Almog, Yaniv; Helffer, Bernard; Pan, Xing-Bin 3 2017 Directional curl spaces and applications to the Meissner states of anisotropic superconductors. Zbl 1361.82040Pan, Xing-Bin 2 2017 Existence and regularity of solutions to quasilinear systems of Maxwell type and Maxwell-Stokes type. Zbl 1362.35294Pan, Xing-Bin 10 2016 Regularity of weak solutions to nonlinear Maxwell systems. Zbl 1334.78015Pan, Xing-Bin 7 2015 Partial Sobolev spaces and anisotropic smectic liquid crystals. Zbl 1305.82059Pan, Xing-Bin 2 2014 Superconductivity near the normal state in a half-plane under the action of a perpendicular electric current and an induced magnetic field. Zbl 1267.82139Almog, Yaniv; Helffer, Bernard; Pan, Xing-Bin 10 2013 Functionals with operator curl in an extended magnetostatic Born-Infeld model. Zbl 1274.35372Chen, Jun; Pan, Xing-Bin 5 2013 An extended magnetostatic Born-Infeld model with a concave lower order term. Zbl 1322.78014Chen, Jun; Pan, Xing-Bin 2 2013 Phase transition for potentials of high-dimensional wells. Zbl 1248.49059Lin, Fanghua; Pan, Xing-Bin; Wang, Changyou 12 2012 Superconductivity near the normal state in a half-plane under the action of a perpendicular electric current and an induced magnetic field. II: The large conductivity limit. Zbl 1263.82074Almog, Yaniv; Helffer, Bernard; Pan, Xing-Bin 7 2012 On a quasilinear system arising in the theory of superconductivity. Zbl 1216.35148Lieberman, Gary; Pan, Xing-Bin 10 2011 Asymptotics of solutions of a quasilinear system involving curl. Zbl 1314.35008Pan, Xing-Bin 5 2011 Superconductivity near the normal state under the action of electric currents and induced magnetic fields in \(\mathbb R^2\). Zbl 1201.35179Almog, Yaniv; Helffer, Bernard; Pan, Xing-Bin 10 2010 Nucleation of instability of Meissner state of superconductors and related mathematical problems. Zbl 1201.82063Pan, Xing-Bin 3 2010 On a quasilinear system involving the operator curl. Zbl 1180.35055Pan, Xing-Bin 16 2009 Minimizing curl in a multiconnected domain. Zbl 1202.49006Pan, Xingbin 13 2009 A three-stage operator-splitting/finite element method for the numerical simulation of liquid crystal flow. Zbl 1158.82314Glowinski, Roland; Lin, Ping; Pan, Xing-Bin 2 2009 An eigenvalue variation problem of magnetic Schrödinger operator in three dimensions. Zbl 1171.82016Pan, Xing-Bin 1 2009 Erratum: Nucleation of instability of the Meissner state of 3-dimensional superconductors. Zbl 1151.82439Bates, Peter; Pan, Xing-Bin 8 2008 Reduced Landau-de Gennes functional and surface smectic state of liquid crystals. Zbl 1153.49003Helffer, Bernard; Pan, Xing-Bin 4 2008 Critical elastic coefficient of liquid crystals and hysteresis. Zbl 1145.82027Pan, Xing-Bin 2 2008 Nucleation of instability of the Meissner state of 3-dimensional superconductors. Zbl 1137.82024Bates, Peter W.; Pan, Xing-Bin 17 2007 Magnetic field-induced instabilities in liquid crystals. Zbl 1128.82021Lin, Fanghua; Pan, Xing-Bin 12 2007 Analogies between superconductors and liquid crystals: nucleation and critical fields. Zbl 1387.82057Pan, Xing-Bin 5 2007 Nodal sets of solutions of equations involving magnetic Schrödinger operator in three dimensions. Zbl 1144.81400Pan, Xing-Bin 3 2007 Landau-de Gennes model of liquid crystals with small Ginzburg-Landau parameter. Zbl 1101.82040Pan, Xing-Bin 3 2006 Multiple states and hysteresis for type I superconductors. Zbl 1110.82042Du, Y.; Pan, X. B. 4 2005 Surface superconductivity in \(3\) dimensions. Zbl 1051.35090Pan, Xing-Bin 15 2004 Upper critical field and location of surface nucleation of superconductivity. (Champ surcritique et localisation de la nucléation de surface en supraconductivité.) Zbl 1060.35132Helffer, Bernard; Pan, Xing-Bin 27 2003 Landau-de Gennes model of liquid crystals and critical wave number. Zbl 1056.49005Pan, Xing-Bin 13 2003 Superconductivity near critical temperature. Zbl 1062.82057Pan, Xing-Bin 5 2003 Superconducting films in perpendicular fields and the effect of the de Gennes parameter. Zbl 1044.35094Pan, Xing-Bin 3 2003 Schrödinger operators with non-degenerately vanishing magnetic fields in bounded domains. Zbl 1004.35110Pan, Xing-Bin; Kwek, Keng-Huat 31 2002 Surface superconductivity in applied magnetic fields above \(H_{C_2}\). Zbl 1004.82020Pan, Xing-Bin 30 2002 Upper critical field for superconductors with edges and corners. Zbl 1006.35090Pan, Xing-Bin 20 2002 On a problem related to vortex nucleation of superconductivity. Zbl 1064.35057Pan, Xing-Bin; Kwek, Keng Huat 10 2002 Ginzburg-Landau system and surface nucleation of superconductivity. Zbl 1016.35066Lu, Kening; Pan, Xing-Bin 2 2001 Surface nucleation of superconductivity in 3-dimensions. Zbl 0972.35152Lu, Kening; Pan, Xing-Bin 32 2000 Gauge invariant eigenvalue problems in \(\mathbb R^2\) and in \(\mathbb R^2_{+}\). Zbl 1053.35124Lu, Kening; Pan, Xing-Bin 25 2000 Asymptotics of minimizers of variational problems involving curl functional. Zbl 0972.76011Pan, Xing-Bin; Qi, Yuanwei 8 2000 Estimates of the upper critical field for the Ginzburg-Landau equations of superconductivity. Zbl 0934.35174Lu, Kening; Pan, Xing-Bin 52 1999 Eigenvalue problems of Ginzburg-Landau operator in bounded domains. Zbl 0943.35058Lu, Kening; Pan, Xing-Bin 35 1999 Yamabe equations on half-spaces. Zbl 0941.35025Bianchi, Gabriele; Pan, Xing-Bin 8 1999 Semilinear Neumann problem in exterior domains. Zbl 0910.35058Pan, Xing-Bin; Wang, Xuefeng 7 1998 The first eigenvalue of Ginzburg-Landau operator. Zbl 0935.35108Lu, Kening; Pan, Xingbin 2 1997 Ginzburg-Landau equation with DeGennes boundary condition. Zbl 0873.35088Lu, Kening; Pan, Xingbin 13 1996 Least energy solutions of semilinear Neumann problems and asymptotics. Zbl 0861.35028Pan, Xing-Bin; Xu, Xingwang 4 1996 Further study on the effect of boundary conditions. Zbl 0832.35050Pan, Xing-Bin 7 1995 Condensation of least-energy solutions: The effect of boundary conditions. Zbl 0826.35037Pan, Xing-Bin 7 1995 Condensation of least-energy solutions of a semilinear Neumann problem. Zbl 0814.35039Pan, Xingbin 5 1995 Singular limit of quasilinear Neumann problems. Zbl 0830.35041Pan, Xing-Bin 1 1995 The Melnikov method and elliptic equations with critical exponent. Zbl 0818.35025Johnson, Russell A.; Pan, Xingbin; Yi, Yingfei 20 1994 Singular solutions of the elliptic equation \(\Delta u- u+u^ p =0\). Zbl 0810.35028Johnson, Russell A.; Pan, Xingbin; Yi, Yingfei 10 1994 Positive solutions of super-critical elliptic equations and asymptotics. Zbl 0793.35029Johnson, Russell A.; Pan, Xingbin; Yi, Yingfei 23 1993 Singular ground states of semilinear elliptic equations via invariant manifold theory. Zbl 0803.35039Johnson, Russell A.; Pan, Xingbin; Yi, Yingfei 15 1993 On an elliptic equation related to the blow-up phenomenon in the nonlinear Schrödinger equation. Zbl 0788.35041Johnson, Russell; Pan, Xingbin 11 1993 Positive solutions of the elliptic equation \(\Delta u + u^{(n+2)/(n-2)} + K(x) u^ q =0\) in \(\mathbb{R}^ n\) and in balls. Zbl 0801.35025Pan, Xingbin 11 1993 Singular behavior of least-energy solutions of a semilinear Neumann problem involving critical Sobolev exponents. Zbl 0785.35041Ni, Wei-Ming; Pan, Xingbin; Takagi, Izumi 56 1992 Blow-up behavior of ground states of semilinear elliptic equations in \(R^ n\) involving critical Sobolev exponents. Zbl 0761.35031Pan, Xingbin; Wang, Xuefeng 14 1992 Positive solutions of \(\Delta u+K(x)u^ p=0\) without decay conditions on \(K(x)\). Zbl 0763.35037Pan, Xingbin 2 1992 Existence of singular solutions of semilinear elliptic equation in \(R^ n\). Zbl 0749.35013Pan, Xingbin 1 1991 Eigenvectors of non-monotone operators and an iterative method. Zbl 0654.65044Pan, Xingbin 1 1988 all cited Publications top 5 cited Publications all top 5 Cited by 331 Authors 42 Pan, Xingbin 30 Helffer, Bernard 20 Kachmar, Ayman 18 Wei, Juncheng 17 Franca, Matteo 16 Almog, Yaniv 15 Fournais, Søren 10 Aramaki, Junichi 8 Del Pino, Manuel A. 8 Raymond, Nicolas 7 Bonnaillie-Noël, Virginie 7 Correggi, Michele 7 Musso, Monica 6 Flores, Isabel 6 Miyagaki, Olimpio Hiroshi 5 Assaad, Wafaa 5 Sundqvist, Mikael Persson 5 Rougerie, Nicolas 5 Sfecci, Andrea 4 Alves, Claudianor Oliveira 4 Chern, Jann-Long 4 Dauge, Monique 4 Kim, Soojung 4 Li, Yi 4 Lu, Kening 4 Morame, Abderemane 4 Pistoia, Angela 4 Xiang, Xingfei 4 Yan, Shusen 4 Zhang, Xuemei 3 Attar, Kamel 3 Dalbono, Francesca 3 Deng, Yinbin 3 Fei, Mingwen 3 Feng, Meiqiang 3 Fibich, Gadi 3 Giacomelli, Emanuela L. 3 Hashizume, Masato 3 Joo, Sookyung 3 Kordyukov, Yuri A. 3 Miqueu, Jean-Philippe 3 Naito, Yūki 3 Ni, Wei-Ming 3 Ould Ahmedou, Mohameden 3 Popoff, Nicolas 3 Rey, Olivier 3 Wang, Xuefeng 3 Zhao, Chunshan 2 Aftalion, Amandine 2 Avci, Mustafa 2 Bates, Peter W. 2 Ben Ayed, Mohamed 2 Byeon, Jaeyoung 2 Calamai, Alessandro 2 Cao, Daomin 2 Carles, Rémi 2 Chabrowski, Jan H. 2 Chen, Jun 2 Cingolani, Silvia 2 Contreras, Andres A. 2 Deng, Shao-Gao 2 Do Ó, João M. Bezerra 2 Dolbeault, Jean 2 Druet, Olivier 2 Du, Qiang 2 Du, Yihong 2 García-Cervera, Carlos J. 2 Gavish, Nir 2 Abreu Goncalves, Jose Valdo 2 Grebenkov, Denis S. 2 Guo, Yuxia 2 Guo, Zongming 2 Han, Qi 2 Henry, Raphaël 2 Jin, Sangdon 2 Laux, Tim 2 Lei, Yutian 2 Lin, Fang Hua 2 Lin, Ping 2 Liu, Dan 2 Mahmoudi, Fethi 2 Micheletti, Anna Maria 2 Miyamoto, Yasuhito 2 Osting, Braxton 2 Ould Bouh, Kamal 2 Robert, Frédéric 2 Sternberg, Peter J. 2 Tang, Zhongwei 2 Wang, Liping 2 Wang, Wei 2 Wang, Youjun 2 Winter, Matthias 2 Yanagida, Eiji 2 Yi, Yingfei 2 Zhang, Pingwen 2 Zhang, Zhibing 2 Zhang, Zhifei 1 Adami, Riccardo 1 Ai, Wanjun 1 Akahori, Takafumi ...and 231 more Authors all top 5 Cited in 101 Serials 30 Journal of Differential Equations 27 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 23 Journal of Mathematical Physics 19 Calculus of Variations and Partial Differential Equations 12 Communications in Mathematical Physics 12 Journal of Mathematical Analysis and Applications 11 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 11 SIAM Journal on Mathematical Analysis 10 Journal of Functional Analysis 10 Communications in Partial Differential Equations 9 Physica D 9 Discrete and Continuous Dynamical Systems 8 Journal of Dynamics and Differential Equations 7 Nonlinear Analysis. Theory, Methods & Applications 6 Archive for Rational Mechanics and Analysis 6 Transactions of the American Mathematical Society 5 Reviews in Mathematical Physics 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Communications in Contemporary Mathematics 5 Journal of Elliptic and Parabolic Equations 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Mathematische Annalen 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 Journal of Spectral Theory 3 Letters in Mathematical Physics 3 Nonlinearity 3 Annales Henri Poincaré 2 Journal d’Analyse Mathématique 2 Journal of Computational Physics 2 Advances in Mathematics 2 Annales de l’Institut Fourier 2 Duke Mathematical Journal 2 Quarterly of Applied Mathematics 2 Acta Mathematicae Applicatae Sinica. English Series 2 Japan Journal of Industrial and Applied Mathematics 2 The Journal of Geometric Analysis 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Applied Mathematics. Series B (English Edition) 2 Turkish Journal of Mathematics 2 NoDEA. Nonlinear Differential Equations and Applications 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Mathematical Physics, Analysis and Geometry 2 Journal of the European Mathematical Society (JEMS) 2 Advanced Nonlinear Studies 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Bollettino dell’Unione Matematica Italiana 2 Pure and Applied Analysis 2 SN Partial Differential Equations and Applications 1 Applicable Analysis 1 Computer Methods in Applied Mechanics and Engineering 1 Communications on Pure and Applied Mathematics 1 Mathematical Methods in the Applied Sciences 1 Reports on Mathematical Physics 1 Rocky Mountain Journal of Mathematics 1 Mathematics of Computation 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Calcolo 1 Manuscripta Mathematica 1 Memoirs of the American Mathematical Society 1 Monatshefte für Mathematik 1 Numerische Mathematik 1 Proceedings of the American Mathematical Society 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Rendiconti del Seminario Matematico della Università di Padova 1 Tôhoku Mathematical Journal. Second Series 1 Tokyo Journal of Mathematics 1 Chinese Annals of Mathematics. Series B 1 Applied Mathematics Letters 1 Asymptotic Analysis 1 Forum Mathematicum 1 International Journal of Mathematics 1 European Journal of Applied Mathematics 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 SIAM Journal on Applied Mathematics 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Topological Methods in Nonlinear Analysis 1 Russian Journal of Mathematical Physics 1 Journal of Mathematical Sciences (New York) 1 Electronic Journal of Differential Equations (EJDE) 1 Advances in Differential Equations 1 Abstract and Applied Analysis 1 Journal of Inequalities and Applications 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Journal of Nonlinear and Convex Analysis 1 Nonlinear Analysis. Real World Applications 1 Discrete and Continuous Dynamical Systems. Series B 1 Communications on Pure and Applied Analysis 1 Milan Journal of Mathematics 1 Multiscale Modeling & Simulation 1 Thai Journal of Mathematics 1 Complex Variables and Elliptic Equations 1 Proceedings of the Steklov Institute of Mathematics 1 Inverse Problems and Imaging 1 Discrete and Continuous Dynamical Systems. Series S 1 Advances in Calculus of Variations 1 Arabian Journal of Mathematics 1 Advances in Nonlinear Analysis 1 Geometry 1 Chinese Journal of Mathematics ...and 1 more Serials all top 5 Cited in 25 Fields 308 Partial differential equations (35-XX) 102 Statistical mechanics, structure of matter (82-XX) 33 Quantum theory (81-XX) 31 Global analysis, analysis on manifolds (58-XX) 26 Operator theory (47-XX) 24 Fluid mechanics (76-XX) 22 Calculus of variations and optimal control; optimization (49-XX) 19 Ordinary differential equations (34-XX) 19 Optics, electromagnetic theory (78-XX) 14 Numerical analysis (65-XX) 12 Dynamical systems and ergodic theory (37-XX) 9 Differential geometry (53-XX) 8 Functional analysis (46-XX) 6 Mechanics of deformable solids (74-XX) 5 Integral equations (45-XX) 5 Biology and other natural sciences (92-XX) 2 Real functions (26-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year