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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：62/0  |  提交时间：2023/02/07
XFEL Schr?dinger equation  nonlinear elliptic equations  normalized solutions  orbital stability  strong instability  
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：169/0  |  提交时间：2021/04/26
Schrodinger equation  vander Waals type potentials  Normalized solutions  Stability  Variational methods  
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：131/0  |  提交时间：2018/07/30
The rotation number of the linear Schrodinger equation with discontinuous almost periodic potentials 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2015, 卷号: 259, 期号: 8, 页码: 4202-4228
作者:  Zhou, Zhe
收藏  |  浏览/下载：117/0  |  提交时间：2018/07/30
Stepanov almost periodic function  Rotation number  Discrete hull  Ergodic theorem  Stepanov norm  
Uniform ergodic theorems for discontinuous skew-product flows and applications to Schrodinger equations 期刊论文
NONLINEARITY, 2011, 卷号: 24, 期号: 5, 页码: 1539-1564
作者:  Zhang, Meirong;  Zhou, Zhe
收藏  |  浏览/下载：105/0  |  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：137/0  |  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：149/0  |  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：132/0  |  提交时间：2018/07/30
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：133/0  |  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：129/0  |  提交时间：2018/07/30
existence and uniqueness  multi-bump bound states  nonlinear Schrodinger equation  magnetic fields