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Normalized solutions to the Chern-Simons-Schrodinger system 期刊论文
JOURNAL OF FUNCTIONAL ANALYSIS, 2021, 卷号: 280, 期号: 5, 页码: 65
作者:  Gou, Tianxiang;  Zhang, Zhitao
收藏  |  浏览/下载:156/0  |  提交时间:2021/04/26
Chern-Simons-Schrodinger system  Normalized solutions  Standing waves  Orbital instability  
Maximum principles and the method of moving planes for the uniformly elliptic nonlocal Bellman operator and applications 期刊论文
ANNALI DI MATEMATICA PURA ED APPLICATA, 2020, 页码: 50
作者:  Dai, Wei;  Qin, Guolin
收藏  |  浏览/下载:162/0  |  提交时间:2020/09/23
Uniformly elliptic nonlocal Bellman operator  Uniformly elliptic nonlocal Monge-Ampere operator  Maximum principles  Method of moving planes  Monotonicity  symmetry and uniqueness  Asymptotic properties  
Direct Methods for Pseudo-relativistic Schrodinger Operators 期刊论文
JOURNAL OF GEOMETRIC ANALYSIS, 2020, 页码: 64
作者:  Dai, Wei;  Qin, Guolin;  Wu, Dan
收藏  |  浏览/下载:140/0  |  提交时间:2020/09/23
Pseudo-relativistic Schrodinger operators  Epigraph  3D boson star equations  Direct methods of moving planes  Direct sliding methods  
On the rigidity of solitary waves for the focusing mass-critical NLS in dimensions d >= 2 期刊论文
SCIENCE CHINA-MATHEMATICS, 2012, 卷号: 55, 期号: 2, 页码: 385-434
作者:  Li Dong;  Zhang XiaoYi
收藏  |  浏览/下载:70/0  |  提交时间:2021/01/14
NONLINEAR SCHRODINGER-EQUATION  DISPERSIVE EVOLUTION-EQUATIONS  BLOW-UP SOLUTIONS  CRITICAL POWER  CAUCHY-PROBLEM  GROUND-STATES  SINGULARITIES  UNIQUENESS  STABILITY  Schrodinger equation  mass critical  rigidity  
Results on entire solutions for a degenerate critical elliptic equation with anisotropic coefficients 期刊论文
SCIENCE CHINA-MATHEMATICS, 2011, 卷号: 54, 期号: 2, 页码: 221-242
作者:  Chen ShaoWei;  Lin LiShan
收藏  |  浏览/下载:115/0  |  提交时间:2018/07/30
weighted Sobolev inequalities  Harnack inequality  moving sphere method  variational identities  
Structure of ground state solutions of singular semilinear elliptic equations 期刊论文
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2003, 卷号: 55, 期号: 4, 页码: 399-417
作者:  Sun, YJ;  Li, SJ
收藏  |  浏览/下载:89/0  |  提交时间:2018/07/30
semilinear elliptic equations  singular nonlinearities  variational methods  radially symmetric  ground state solutions  uniqueness