## Pan, Xingbin

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 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
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### 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
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### 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
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### 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)

### 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 0785.35041
Ni, Wei-Ming; Pan, Xingbin; Takagi, Izumi
1992
Estimates of the upper critical field for the Ginzburg-Landau equations of superconductivity. Zbl 0934.35174
Lu, Kening; Pan, Xing-Bin
1999
Eigenvalue problems of Ginzburg-Landau operator in bounded domains. Zbl 0943.35058
Lu, Kening; Pan, Xing-Bin
1999
Surface nucleation of superconductivity in 3-dimensions. Zbl 0972.35152
Lu, Kening; Pan, Xing-Bin
2000
Schrödinger operators with non-degenerately vanishing magnetic fields in bounded domains. Zbl 1004.35110
Pan, Xing-Bin; Kwek, Keng-Huat
2002
Surface superconductivity in applied magnetic fields above $$H_{C_2}$$. Zbl 1004.82020
Pan, Xing-Bin
2002
Upper critical field and location of surface nucleation of superconductivity. (Champ surcritique et localisation de la nucléation de surface en supraconductivité.) Zbl 1060.35132
Helffer, Bernard; Pan, Xing-Bin
2003
Gauge invariant eigenvalue problems in $$\mathbb R^2$$ and in $$\mathbb R^2_{+}$$. Zbl 1053.35124
Lu, Kening; Pan, Xing-Bin
2000
Positive solutions of super-critical elliptic equations and asymptotics. Zbl 0793.35029
Johnson, Russell A.; Pan, Xingbin; Yi, Yingfei
1993
Upper critical field for superconductors with edges and corners. Zbl 1006.35090
Pan, Xing-Bin
2002
The Melnikov method and elliptic equations with critical exponent. Zbl 0818.35025
Johnson, Russell A.; Pan, Xingbin; Yi, Yingfei
1994
Nucleation of instability of the Meissner state of 3-dimensional superconductors. Zbl 1137.82024
Bates, Peter W.; Pan, Xing-Bin
2007
On a quasilinear system involving the operator curl. Zbl 1180.35055
Pan, Xing-Bin
2009
Singular ground states of semilinear elliptic equations via invariant manifold theory. Zbl 0803.35039
Johnson, Russell A.; Pan, Xingbin; Yi, Yingfei
1993
Surface superconductivity in $$3$$ dimensions. Zbl 1051.35090
Pan, Xing-Bin
2004
Blow-up behavior of ground states of semilinear elliptic equations in $$R^ n$$ involving critical Sobolev exponents. Zbl 0761.35031
Pan, Xingbin; Wang, Xuefeng
1992
Ginzburg-Landau equation with DeGennes boundary condition. Zbl 0873.35088
Lu, Kening; Pan, Xingbin
1996
Landau-de Gennes model of liquid crystals and critical wave number. Zbl 1056.49005
Pan, Xing-Bin
2003
Minimizing curl in a multiconnected domain. Zbl 1202.49006
Pan, Xingbin
2009
Phase transition for potentials of high-dimensional wells. Zbl 1248.49059
Lin, Fanghua; Pan, Xing-Bin; Wang, Changyou
2012
Magnetic field-induced instabilities in liquid crystals. Zbl 1128.82021
Lin, Fanghua; Pan, Xing-Bin
2007
On an elliptic equation related to the blow-up phenomenon in the nonlinear Schrödinger equation. Zbl 0788.35041
Johnson, Russell; Pan, Xingbin
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 0801.35025
Pan, Xingbin
1993
Singular solutions of the elliptic equation $$\Delta u- u+u^ p =0$$. Zbl 0810.35028
Johnson, Russell A.; Pan, Xingbin; Yi, Yingfei
1994
Superconductivity near the normal state under the action of electric currents and induced magnetic fields in $$\mathbb R^2$$. Zbl 1201.35179
Almog, Yaniv; Helffer, Bernard; Pan, Xing-Bin
2010
On a quasilinear system arising in the theory of superconductivity. Zbl 1216.35148
Lieberman, Gary; Pan, Xing-Bin
2011
On a problem related to vortex nucleation of superconductivity. Zbl 1064.35057
Pan, Xing-Bin; Kwek, Keng Huat
2002
Existence and regularity of solutions to quasilinear systems of Maxwell type and Maxwell-Stokes type. Zbl 1362.35294
Pan, Xing-Bin
2016
Superconductivity near the normal state in a half-plane under the action of a perpendicular electric current and an induced magnetic field. Zbl 1267.82139
Almog, Yaniv; Helffer, Bernard; Pan, Xing-Bin
2013
Yamabe equations on half-spaces. Zbl 0941.35025
Bianchi, Gabriele; Pan, Xing-Bin
1999
Asymptotics of minimizers of variational problems involving curl functional. Zbl 0972.76011
Pan, Xing-Bin; Qi, Yuanwei
2000
Erratum: Nucleation of instability of the Meissner state of 3-dimensional superconductors. Zbl 1151.82439
Bates, Peter; Pan, Xing-Bin
2008
Semilinear Neumann problem in exterior domains. Zbl 0910.35058
Pan, Xing-Bin; Wang, Xuefeng
1998
Further study on the effect of boundary conditions. Zbl 0832.35050
Pan, Xing-Bin
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 1263.82074
Almog, Yaniv; Helffer, Bernard; Pan, Xing-Bin
2012
Condensation of least-energy solutions: The effect of boundary conditions. Zbl 0826.35037
Pan, Xing-Bin
1995
Regularity of weak solutions to nonlinear Maxwell systems. Zbl 1334.78015
Pan, Xing-Bin
2015
Condensation of least-energy solutions of a semilinear Neumann problem. Zbl 0814.35039
Pan, Xingbin
1995
Superconductivity near critical temperature. Zbl 1062.82057
Pan, Xing-Bin
2003
Asymptotics of solutions of a quasilinear system involving curl. Zbl 1314.35008
Pan, Xing-Bin
2011
Functionals with operator curl in an extended magnetostatic Born-Infeld model. Zbl 1274.35372
Chen, Jun; Pan, Xing-Bin
2013
Analogies between superconductors and liquid crystals: nucleation and critical fields. Zbl 1387.82057
Pan, Xing-Bin
2007
Concentration behavior and lattice structure of 3D surface superconductivity in the half space. Zbl 1420.82025
Fournais, Søren; Miqueu, Jean-Philippe; Pan, Xing-Bin
2019
Superconductivity and the Aharonov-Bohm effect. (Supraconductivité et effet Aharonov-Bohm.) Zbl 1416.82051
Kachmar, Ayman; Pan, XingBin
2019
Oscillatory patterns in the Ginzburg-Landau model driven by the Aharonov-Bohm potential. Zbl 1455.82010
Kachmar, Ayman; Pan, Xing-Bin
2020
Least energy solutions of semilinear Neumann problems and asymptotics. Zbl 0861.35028
Pan, Xing-Bin; Xu, Xingwang
1996
Reduced Landau-de Gennes functional and surface smectic state of liquid crystals. Zbl 1153.49003
Helffer, Bernard; Pan, Xing-Bin
2008
Multiple states and hysteresis for type I superconductors. Zbl 1110.82042
Du, Y.; Pan, X. B.
2005
Variational and operator methods for Maxwell-Stokes system. Zbl 1435.35368
Pan, Xing-Bin
2020
Superconducting films in perpendicular fields and the effect of the de Gennes parameter. Zbl 1044.35094
Pan, Xing-Bin
2003
Landau-de Gennes model of liquid crystals with small Ginzburg-Landau parameter. Zbl 1101.82040
Pan, Xing-Bin
2006
Quasilinear systems involving curl. Zbl 1391.35146
Chen, Jun; Pan, Xing-Bin
2018
Nucleation of instability of Meissner state of superconductors and related mathematical problems. Zbl 1201.82063
Pan, Xing-Bin
2010
Nodal sets of solutions of equations involving magnetic Schrödinger operator in three dimensions. Zbl 1144.81400
Pan, Xing-Bin
2007
Meissner states of type II superconductors. Zbl 1410.82039
Pan, Xing-Bin
2018
Mixed normal-superconducting states in the presence of strong electric currents. Zbl 1361.35171
Almog, Yaniv; Helffer, Bernard; Pan, Xing-Bin
2017
Positive solutions of $$\Delta u+K(x)u^ p=0$$ without decay conditions on $$K(x)$$. Zbl 0763.35037
Pan, Xingbin
1992
Partial Sobolev spaces and anisotropic smectic liquid crystals. Zbl 1305.82059
Pan, Xing-Bin
2014
The general magneto-static model and Maxwell-Stokes system with topological parameters. Zbl 1466.35180
Pan, Xing-Bin
2021
Discontinuous nonlinearity and finite time extinction. Zbl 1431.35073
Chung, Jaywan; Kim, Yong-Jung; Kwon, Ohsang; Pan, Xingbin
2020
Anisotropic nematic liquid crystals in an applied magnetic field. Zbl 1439.82052
Kim, Soojung; Pan, Xing-Bin
2020
Ginzburg-Landau system and surface nucleation of superconductivity. Zbl 1016.35066
Lu, Kening; Pan, Xing-Bin
2001
The first eigenvalue of Ginzburg-Landau operator. Zbl 0935.35108
Lu, Kening; Pan, Xingbin
1997
A three-stage operator-splitting/finite element method for the numerical simulation of liquid crystal flow. Zbl 1158.82314
Glowinski, Roland; Lin, Ping; Pan, Xing-Bin
2009
Critical elastic coefficient of liquid crystals and hysteresis. Zbl 1145.82027
Pan, Xing-Bin
2008
Directional curl spaces and applications to the Meissner states of anisotropic superconductors. Zbl 1361.82040
Pan, Xing-Bin
2017
An extended magnetostatic Born-Infeld model with a concave lower order term. Zbl 1322.78014
Chen, Jun; Pan, Xing-Bin
2013
Existence of singular solutions of semilinear elliptic equation in $$R^ n$$. Zbl 0749.35013
Pan, Xingbin
1991
Eigenvectors of non-monotone operators and an iterative method. Zbl 0654.65044
Pan, Xingbin
1988
On a quasilinear parabolic curl system motivated by time evolution of Meissner states of superconductors. Zbl 1479.82104
Kang, Kyungkeun; Pan, Xing-bin
2021
Singular limit of quasilinear Neumann problems. Zbl 0830.35041
Pan, Xing-Bin
1995
Existence of surface smectic states of liquid crystals. Zbl 1380.82054
Fournais, Søren; Kachmar, Ayman; Pan, Xing-Bin
2018
Existence and regularity of weak solutions for a thermoelectric model. Zbl 1421.35354
Pan, Xing-Bin; Zhang, Zhibing
2019
An eigenvalue variation problem of magnetic Schrödinger operator in three dimensions. Zbl 1171.82016
Pan, Xing-Bin
2009
The general magneto-static model and Maxwell-Stokes system with topological parameters. Zbl 1466.35180
Pan, Xing-Bin
2021
On a quasilinear parabolic curl system motivated by time evolution of Meissner states of superconductors. Zbl 1479.82104
Kang, Kyungkeun; Pan, Xing-bin
2021
Oscillatory patterns in the Ginzburg-Landau model driven by the Aharonov-Bohm potential. Zbl 1455.82010
Kachmar, Ayman; Pan, Xing-Bin
2020
Variational and operator methods for Maxwell-Stokes system. Zbl 1435.35368
Pan, Xing-Bin
2020
Discontinuous nonlinearity and finite time extinction. Zbl 1431.35073
Chung, Jaywan; Kim, Yong-Jung; Kwon, Ohsang; Pan, Xingbin
2020
Anisotropic nematic liquid crystals in an applied magnetic field. Zbl 1439.82052
Kim, Soojung; Pan, Xing-Bin
2020
Concentration behavior and lattice structure of 3D surface superconductivity in the half space. Zbl 1420.82025
Fournais, Søren; Miqueu, Jean-Philippe; Pan, Xing-Bin
2019
Superconductivity and the Aharonov-Bohm effect. (Supraconductivité et effet Aharonov-Bohm.) Zbl 1416.82051
Kachmar, Ayman; Pan, XingBin
2019
Existence and regularity of weak solutions for a thermoelectric model. Zbl 1421.35354
Pan, Xing-Bin; Zhang, Zhibing
2019
Quasilinear systems involving curl. Zbl 1391.35146
Chen, Jun; Pan, Xing-Bin
2018
Meissner states of type II superconductors. Zbl 1410.82039
Pan, Xing-Bin
2018
Existence of surface smectic states of liquid crystals. Zbl 1380.82054
Fournais, Søren; Kachmar, Ayman; Pan, Xing-Bin
2018
Mixed normal-superconducting states in the presence of strong electric currents. Zbl 1361.35171
Almog, Yaniv; Helffer, Bernard; Pan, Xing-Bin
2017
Directional curl spaces and applications to the Meissner states of anisotropic superconductors. Zbl 1361.82040
Pan, Xing-Bin
2017
Existence and regularity of solutions to quasilinear systems of Maxwell type and Maxwell-Stokes type. Zbl 1362.35294
Pan, Xing-Bin
2016
Regularity of weak solutions to nonlinear Maxwell systems. Zbl 1334.78015
Pan, Xing-Bin
2015
Partial Sobolev spaces and anisotropic smectic liquid crystals. Zbl 1305.82059
Pan, Xing-Bin
2014
Superconductivity near the normal state in a half-plane under the action of a perpendicular electric current and an induced magnetic field. Zbl 1267.82139
Almog, Yaniv; Helffer, Bernard; Pan, Xing-Bin
2013
Functionals with operator curl in an extended magnetostatic Born-Infeld model. Zbl 1274.35372
Chen, Jun; Pan, Xing-Bin
2013
An extended magnetostatic Born-Infeld model with a concave lower order term. Zbl 1322.78014
Chen, Jun; Pan, Xing-Bin
2013
Phase transition for potentials of high-dimensional wells. Zbl 1248.49059
Lin, Fanghua; Pan, Xing-Bin; Wang, Changyou
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 1263.82074
Almog, Yaniv; Helffer, Bernard; Pan, Xing-Bin
2012
On a quasilinear system arising in the theory of superconductivity. Zbl 1216.35148
Lieberman, Gary; Pan, Xing-Bin
2011
Asymptotics of solutions of a quasilinear system involving curl. Zbl 1314.35008
Pan, Xing-Bin
2011
Superconductivity near the normal state under the action of electric currents and induced magnetic fields in $$\mathbb R^2$$. Zbl 1201.35179
Almog, Yaniv; Helffer, Bernard; Pan, Xing-Bin
2010
Nucleation of instability of Meissner state of superconductors and related mathematical problems. Zbl 1201.82063
Pan, Xing-Bin
2010
On a quasilinear system involving the operator curl. Zbl 1180.35055
Pan, Xing-Bin
2009
Minimizing curl in a multiconnected domain. Zbl 1202.49006
Pan, Xingbin
2009
A three-stage operator-splitting/finite element method for the numerical simulation of liquid crystal flow. Zbl 1158.82314
Glowinski, Roland; Lin, Ping; Pan, Xing-Bin
2009
An eigenvalue variation problem of magnetic Schrödinger operator in three dimensions. Zbl 1171.82016
Pan, Xing-Bin
2009
Erratum: Nucleation of instability of the Meissner state of 3-dimensional superconductors. Zbl 1151.82439
Bates, Peter; Pan, Xing-Bin
2008
Reduced Landau-de Gennes functional and surface smectic state of liquid crystals. Zbl 1153.49003
Helffer, Bernard; Pan, Xing-Bin
2008
Critical elastic coefficient of liquid crystals and hysteresis. Zbl 1145.82027
Pan, Xing-Bin
2008
Nucleation of instability of the Meissner state of 3-dimensional superconductors. Zbl 1137.82024
Bates, Peter W.; Pan, Xing-Bin
2007
Magnetic field-induced instabilities in liquid crystals. Zbl 1128.82021
Lin, Fanghua; Pan, Xing-Bin
2007
Analogies between superconductors and liquid crystals: nucleation and critical fields. Zbl 1387.82057
Pan, Xing-Bin
2007
Nodal sets of solutions of equations involving magnetic Schrödinger operator in three dimensions. Zbl 1144.81400
Pan, Xing-Bin
2007
Landau-de Gennes model of liquid crystals with small Ginzburg-Landau parameter. Zbl 1101.82040
Pan, Xing-Bin
2006
Multiple states and hysteresis for type I superconductors. Zbl 1110.82042
Du, Y.; Pan, X. B.
2005
Surface superconductivity in $$3$$ dimensions. Zbl 1051.35090
Pan, Xing-Bin
2004
Upper critical field and location of surface nucleation of superconductivity. (Champ surcritique et localisation de la nucléation de surface en supraconductivité.) Zbl 1060.35132
Helffer, Bernard; Pan, Xing-Bin
2003
Landau-de Gennes model of liquid crystals and critical wave number. Zbl 1056.49005
Pan, Xing-Bin
2003
Superconductivity near critical temperature. Zbl 1062.82057
Pan, Xing-Bin
2003
Superconducting films in perpendicular fields and the effect of the de Gennes parameter. Zbl 1044.35094
Pan, Xing-Bin
2003
Schrödinger operators with non-degenerately vanishing magnetic fields in bounded domains. Zbl 1004.35110
Pan, Xing-Bin; Kwek, Keng-Huat
2002
Surface superconductivity in applied magnetic fields above $$H_{C_2}$$. Zbl 1004.82020
Pan, Xing-Bin
2002
Upper critical field for superconductors with edges and corners. Zbl 1006.35090
Pan, Xing-Bin
2002
On a problem related to vortex nucleation of superconductivity. Zbl 1064.35057
Pan, Xing-Bin; Kwek, Keng Huat
2002
Ginzburg-Landau system and surface nucleation of superconductivity. Zbl 1016.35066
Lu, Kening; Pan, Xing-Bin
2001
Surface nucleation of superconductivity in 3-dimensions. Zbl 0972.35152
Lu, Kening; Pan, Xing-Bin
2000
Gauge invariant eigenvalue problems in $$\mathbb R^2$$ and in $$\mathbb R^2_{+}$$. Zbl 1053.35124
Lu, Kening; Pan, Xing-Bin
2000
Asymptotics of minimizers of variational problems involving curl functional. Zbl 0972.76011
Pan, Xing-Bin; Qi, Yuanwei
2000
Estimates of the upper critical field for the Ginzburg-Landau equations of superconductivity. Zbl 0934.35174
Lu, Kening; Pan, Xing-Bin
1999
Eigenvalue problems of Ginzburg-Landau operator in bounded domains. Zbl 0943.35058
Lu, Kening; Pan, Xing-Bin
1999
Yamabe equations on half-spaces. Zbl 0941.35025
Bianchi, Gabriele; Pan, Xing-Bin
1999
Semilinear Neumann problem in exterior domains. Zbl 0910.35058
Pan, Xing-Bin; Wang, Xuefeng
1998
The first eigenvalue of Ginzburg-Landau operator. Zbl 0935.35108
Lu, Kening; Pan, Xingbin
1997
Ginzburg-Landau equation with DeGennes boundary condition. Zbl 0873.35088
Lu, Kening; Pan, Xingbin
1996
Least energy solutions of semilinear Neumann problems and asymptotics. Zbl 0861.35028
Pan, Xing-Bin; Xu, Xingwang
1996
Further study on the effect of boundary conditions. Zbl 0832.35050
Pan, Xing-Bin
1995
Condensation of least-energy solutions: The effect of boundary conditions. Zbl 0826.35037
Pan, Xing-Bin
1995
Condensation of least-energy solutions of a semilinear Neumann problem. Zbl 0814.35039
Pan, Xingbin
1995
Singular limit of quasilinear Neumann problems. Zbl 0830.35041
Pan, Xing-Bin
1995
The Melnikov method and elliptic equations with critical exponent. Zbl 0818.35025
Johnson, Russell A.; Pan, Xingbin; Yi, Yingfei
1994
Singular solutions of the elliptic equation $$\Delta u- u+u^ p =0$$. Zbl 0810.35028
Johnson, Russell A.; Pan, Xingbin; Yi, Yingfei
1994
Positive solutions of super-critical elliptic equations and asymptotics. Zbl 0793.35029
Johnson, Russell A.; Pan, Xingbin; Yi, Yingfei
1993
Singular ground states of semilinear elliptic equations via invariant manifold theory. Zbl 0803.35039
Johnson, Russell A.; Pan, Xingbin; Yi, Yingfei
1993
On an elliptic equation related to the blow-up phenomenon in the nonlinear Schrödinger equation. Zbl 0788.35041
Johnson, Russell; Pan, Xingbin
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 0801.35025
Pan, Xingbin
1993
Singular behavior of least-energy solutions of a semilinear Neumann problem involving critical Sobolev exponents. Zbl 0785.35041
Ni, Wei-Ming; Pan, Xingbin; Takagi, Izumi
1992
Blow-up behavior of ground states of semilinear elliptic equations in $$R^ n$$ involving critical Sobolev exponents. Zbl 0761.35031
Pan, Xingbin; Wang, Xuefeng
1992
Positive solutions of $$\Delta u+K(x)u^ p=0$$ without decay conditions on $$K(x)$$. Zbl 0763.35037
Pan, Xingbin
1992
Existence of singular solutions of semilinear elliptic equation in $$R^ n$$. Zbl 0749.35013
Pan, Xingbin
1991
Eigenvectors of non-monotone operators and an iterative method. Zbl 0654.65044
Pan, Xingbin
1988
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)