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ON MULTIPLICITY OF SEMI-CLASSICAL SOLUTIONS TO NONLINEAR DIRAC EQUATIONS OF SPACE-DIMENSION n 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2021, 卷号: 41, 期号: 9, 页码: 4105-4123
作者:  Ding, Yanheng;  Dong, Xiaojing;  Guo, Qi
收藏  |  浏览/下载:106/0  |  提交时间:2022/04/02
Nonlinear Dirac equation  Semi-classical solutions  Multiplicity  Variational methods  subcritical and critical nonlinearity  
Infinitely many solutions of Dirac equations with concave and convex nonlinearities 期刊论文
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2021, 卷号: 72, 期号: 1, 页码: 17
作者:  Ding, Yanheng;  Dong, Xiaojing
收藏  |  浏览/下载:117/0  |  提交时间:2021/04/26
Dirac equation  Generalized dual fountain theorem  Concave and convex nonlinearities  Non-periodic potential  
Existence of semiclassical solutions for some critical Dirac equation 期刊论文
JOURNAL OF MATHEMATICAL PHYSICS, 2021, 卷号: 62, 期号: 1, 页码: 22
作者:  Ding, Yanheng;  Guo, Qi;  Yu, Yuanyang
收藏  |  浏览/下载:131/0  |  提交时间:2021/04/26
The concentration behavior of ground state solutions for nonlinear Dirac equation 期刊论文
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2020, 卷号: 195, 页码: 24
作者:  Ding, Yanheng;  Yu, Yuanyang
收藏  |  浏览/下载:163/0  |  提交时间:2020/05/24
Nonlinear Dirac equation  Ground state solutions  Concentration  
Periodic solutions of an asymptotically linear Dirac equation 期刊论文
ANNALI DI MATEMATICA PURA ED APPLICATA, 2017, 卷号: 196, 期号: 2, 页码: 717-735
作者:  Ding, Yanheng;  Liu, Xiaoying
收藏  |  浏览/下载:110/0  |  提交时间:2018/07/30
Dirac equation  Periodic solutions  Variational method  Asymptotically linear  
Bifurcation on compact spin manifold 期刊论文
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2016, 卷号: 55, 期号: 4, 页码: 17
作者:  Ding, Yanheng;  Li, Jiongyue;  Xu, Tian
收藏  |  浏览/下载:129/0  |  提交时间:2018/07/30
Semi-classical ground states concentrating on the nonlinear potential for a Dirac equation 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2010, 卷号: 249, 期号: 5, 页码: 1015-1034
作者:  Ding, Yanheng
收藏  |  浏览/下载:121/0  |  提交时间:2018/07/30
Nonlinear Dirac equation  Semi-classical states  Concentration  
Solutions of a nonlinear Dirac equation with external fields 期刊论文
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2008, 卷号: 190, 期号: 1, 页码: 57-82
作者:  Ding, Yanheng;  Ruf, Bernhard
收藏  |  浏览/下载:80/0  |  提交时间:2018/07/30
Stationary states of nonlinear Dirac equations with general potentials 期刊论文
REVIEWS IN MATHEMATICAL PHYSICS, 2008, 卷号: 20, 期号: 8, 页码: 1007-1032
作者:  Ding, Yanheng;  Wei, Juncheng
收藏  |  浏览/下载:93/0  |  提交时间:2018/07/30
nonlinear Dirac equation  non-periodic potential  superlinearity  
Solutions of nonlinear Dirac equations 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2006, 卷号: 226, 期号: 1, 页码: 210-249
作者:  Bartsch, Thomas;  Ding, Yanheng
收藏  |  浏览/下载:101/0  |  提交时间:2018/07/30
nonlinear Dirac equations  variational methods  strongly indefinite functionals