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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  
Existence of optical vortices in R-2 期刊论文
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2019, 卷号: 50, 页码: 67-85
作者:  Guo, Qing;  Cao, Daomin;  Li, Hang
收藏  |  浏览/下载：195/0  |  提交时间：2020/01/10
Optical vortices  Variational methods  Concentration compactness  Nodal solutions  
Uniqueness of positive bound states with multi-bump for nonlinear Schrodinger equations 期刊论文
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2015, 卷号: 54, 期号: 4, 页码: 4037-4063
作者:  Cao, Daomin;  Li, Shuanglong;  Luo, Peng
收藏  |  浏览/下载：129/0  |  提交时间：2018/07/30
Inhomogeneous critical nonlinear Schrodinger equations with a harmonic potential 期刊论文
JOURNAL OF MATHEMATICAL PHYSICS, 2010, 卷号: 51, 期号: 4, 页码: 24
作者:  Cao, Daomin;  Han, Pigong
收藏  |  浏览/下载：136/0  |  提交时间：2018/07/30
Semi-Classical Bound States for Schrodinger Equations with Potentials Vanishing or Unbounded at Infinity 期刊论文
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2009, 卷号: 34, 期号: 12, 页码: 1566-1591
作者:  Cao, Daomin;  Peng, Shuangjie
收藏  |  浏览/下载：144/0  |  提交时间：2018/07/30
Bound states  Concentrating solutions  Critical point  Potential vanishing or unbounded at infinity  Variational method  
Multiscale-bump standing waves with a critical frequency for nonlinear Schrodinger equations 期刊论文
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2008, 卷号: 360, 期号: 7, 页码: 3813-3837
作者:  Cao, Daomin;  Noussair, Ezzat S.;  Yan, Shusen
收藏  |  浏览/下载：128/0  |  提交时间：2018/07/30
Global well-posedness of the Cauchy problem for nonlinear Schrodinger-type equations 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2007, 卷号: 17, 期号: 1, 页码: 181-200
作者:  Miao, Changxing;  Zhang, Bo
收藏  |  浏览/下载：151/0  |  提交时间：2018/07/30
Schrodinger-type equations  Strichartz estimates  Besov spaces  well-posedness  Cauchy problem  
Multi-bump bound states of Schrodinger equations with a critical frequency 期刊论文
MATHEMATISCHE ANNALEN, 2006, 卷号: 336, 期号: 4, 页码: 925-948
作者:  Cao, Daomin;  Peng, Shuangjie
收藏  |  浏览/下载：131/0  |  提交时间：2018/07/30
multi-bump  standing waves  variational method  nonlinear Schrodinger equation  bound states  
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：125/0  |  提交时间：2018/07/30
existence and uniqueness  multi-bump bound states  nonlinear Schrodinger equation  magnetic fields  
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：110/0  |  提交时间：2018/07/30
multi-bump  standing waves  variational method  nonlinear Schrodinger equation