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Rotating vortex patches for the planar Euler equations in a disk 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 卷号: 275, 页码: 509-532
作者:  Cao, Daomin;  Wan, Jie;  Wang, Guodong;  Zhan, Weicheng
收藏  |  浏览/下载:176/0  |  提交时间:2021/04/26
Vortex patch  Euler equations  Variational analysis  Nonlinear orbital stability  
Desingularization of vortex rings in 3 dimensional Euler flows 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 卷号: 270, 页码: 1258-1297
作者:  Cao, Daomin;  Wan, Jie;  Zhan, Weicheng
收藏  |  浏览/下载:214/0  |  提交时间:2021/01/14
Existence of solution to parabolic equations with mixed boundary condition on non-cylindrical domains 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2018, 卷号: 265, 期号: 6, 页码: 2648-2670
作者:  Kim, Tujin;  Cao, Daomin
收藏  |  浏览/下载:208/0  |  提交时间:2018/07/30
Parabolic equation  Non-cylindrical domain  Mixed boundary condition  Existence  
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:148/0  |  提交时间:2018/07/30
Global attractivity of positive periodic solution to periodic Lotka-Volterra competition systems with pure delay 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2006, 卷号: 228, 期号: 2, 页码: 580-610
作者:  Tang, Xianhua;  Cao, Daomin;  Zou, Xingfu
收藏  |  浏览/下载:167/0  |  提交时间:2018/07/30
positive periodic solution  Lotka-Volterra competition system  Pure delay  3/2-type conditions  global attractivity  
Solutions to critical elliptic equations with multi-singular inverse square potentials 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2006, 卷号: 224, 期号: 2, 页码: 332-372
作者:  Cao, DM;  Han, PG
收藏  |  浏览/下载:191/0  |  提交时间:2018/07/30
semilinear elliptic equation  energy functional  Palais-Smale condition  critical Sobolev exponent  
Existence and uniqueness of multi-bump bound states of nonlinear Schrodinger equations with electromagnetic fields 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2006, 卷号: 222, 期号: 2, 页码: 381-424
作者:  Cao, DM;  Tang, ZW
收藏  |  浏览/下载:155/0  |  提交时间:2018/07/30
existence and uniqueness  multi-bump bound states  nonlinear Schrodinger equation  magnetic fields  
Solutions for semilinear elliptic equations with critical exponents and Hardy potential 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2004, 卷号: 205, 期号: 2, 页码: 521-537
作者:  Cao, DM;  Han, PG
收藏  |  浏览/下载:179/0  |  提交时间:2018/07/30
semilinear elliptic equation  energy functional  Palais-Smale condition  critical Sobolev exponent  
Multi-bump standing waves with a critical frequency for nonlinear Schrodinger equations 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2004, 卷号: 203, 期号: 2, 页码: 292-312
作者:  Cao, DM;  Noussair, ES
收藏  |  浏览/下载:134/0  |  提交时间:2018/07/30
multi-bump  standing waves  variational method  nonlinear Schrodinger equation  
A note on the sign-changing solutions to elliptic problems with critical Sobolev and Hardy terms 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2003, 卷号: 193, 期号: 2, 页码: 424-434
作者:  Cao, DM;  Peng, SJ
收藏  |  浏览/下载:129/0  |  提交时间:2018/07/30
sign-changing solutions  compactness  critical Sobolev and Hardy exponents