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ON THE STANDING WAVES FOR THE X-RAY FREE ELECTRON LASER SCHRODINGER EQUATION 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2022, 页码: 41
作者:  Cao, Daomin;  Feng, Binhua;  Luo, Tingjian
收藏  |  浏览/下载:60/0  |  提交时间:2023/02/07
XFEL Schr?dinger equation  nonlinear elliptic equations  normalized solutions  orbital stability  strong instability  
Vortex patch problem for steady lake equation 期刊论文
JOURNAL OF MATHEMATICAL PHYSICS, 2022, 卷号: 63, 期号: 6, 页码: 25
作者:  Cao, Daomin;  Qin, Guolin;  Zou, Changjun
收藏  |  浏览/下载:206/0  |  提交时间:2023/02/07
On desingularization of steady vortex for the lake equations 期刊论文
IMA JOURNAL OF APPLIED MATHEMATICS, 2022, 卷号: 87, 期号: 1, 页码: 50-79
作者:  Cao, Daomin;  Zhan, Weicheng;  Zou, Changjun
收藏  |  浏览/下载:139/0  |  提交时间:2022/04/02
steady vortex solutions  elliptic equations  variational method  desingularization  maximizer  
Standing waves with prescribed mass for the Schrodinger equations with van der Waals type potentials 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 卷号: 276, 页码: 228-263
作者:  Cao, Daomin;  Jia, Huifang;  Luo, Xiao
收藏  |  浏览/下载:167/0  |  提交时间:2021/04/26
Schrodinger equation  vander Waals type potentials  Normalized solutions  Stability  Variational methods  
A NOTE ON STEADY VORTEX FLOWS IN TWO DIMENSIONS 期刊论文
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2020, 卷号: 148, 期号: 3, 页码: 1153-1159
作者:  Cao, Daomin;  Wang, Guodong
收藏  |  浏览/下载:180/0  |  提交时间:2020/05/24
Euler equations  steady vortex flow  semilinear elliptic equation  stream function  
REGULARIZATION OF PLANAR VORTICES FOR THE INCOMPRESSIBLE FLOW 期刊论文
ACTA MATHEMATICA SCIENTIA, 2018, 卷号: 38, 期号: 5, 页码: 1443-1467
作者:  Cao, Daomin;  Peng, Shuangjie;  Yan, Shusen
收藏  |  浏览/下载:180/0  |  提交时间:2018/11/16
regularization  planar vortices  vorticity sets  reduction  
Nodal solutions for a supercritical semilinear problem with variable exponent 期刊论文
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2018, 卷号: 57, 期号: 2, 页码: 19
作者:  Cao, Daomin;  Li, Shuanglong;  Liu, Zhongyuan
收藏  |  浏览/下载:161/0  |  提交时间:2018/07/30
Infinitely many solutions for an elliptic Neumann problem involving critical Sobolev growth 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2011, 卷号: 251, 期号: 6, 页码: 1389-1414
作者:  Cao, Daomin;  Yan, Shusen
收藏  |  浏览/下载:124/0  |  提交时间:2018/07/30
On ground state of spinor Bose-Einstein condensates 期刊论文
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2011, 卷号: 18, 期号: 4, 页码: 427-445
作者:  Cao, Daomin;  Chern, I-Liang;  Wei, Jun-Cheng
收藏  |  浏览/下载:129/0  |  提交时间:2018/07/30
Ground States  Bose-Einstein Condensates  Elliptic Systems  
Multiplicity of solutions for the plasma problem in two dimensions 期刊论文
ADVANCES IN MATHEMATICS, 2010, 卷号: 225, 期号: 5, 页码: 2741-2785
作者:  Cao, Daomin;  Peng, Shuangjie;  Yan, Shusen
收藏  |  浏览/下载:142/0  |  提交时间:2018/07/30
Semilinear elliptic equations  Variational method  Multiple solutions  Free boundary  Asymptotic behavior