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Solutions to a nonlinear Dirac-Maxwell system: from periodic waves to soliton-like waves 期刊论文
NONLINEARITY, 2022, 卷号: 35, 期号: 12, 页码: 6422-6452
作者:  Pan, Chen;  Yanheng, Ding;  Hua-Yang, Wang
收藏  |  浏览/下载：69/0  |  提交时间：2023/02/07
Dirac-Maxwell system  variational methods  periodic solutions  soliton-like solutions  ground states  
Multiplicity and concentration of semi-classical solutions to nonlinear Dirac-Klein-Gordon systems 期刊论文
ADVANCED NONLINEAR STUDIES, 2022, 卷号: 22, 期号: 1, 页码: 248-272
作者:  Ding, Yanheng;  Yu, Yuanyang;  Dong, Xiaojing
收藏  |  浏览/下载：47/0  |  提交时间：2023/02/07
Dirac-Klein-Gordon system  semi-classical states  multiplicity  subcritical and critical nonlinearities  
Existence of multi-bump solutions for a system with critical exponent in R-N 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 卷号: 505, 期号: 2, 页码: 37
作者:  Nie, Jianjun;  Ding, Yanheng
收藏  |  浏览/下载：111/0  |  提交时间：2022/04/02
Elliptic system  Critical exponent  Finite dimensional reduction  Multi-bump solutions  
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：103/0  |  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：114/0  |  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：128/0  |  提交时间：2021/04/26
STATIONARY STATES OF DIRAC-KLEIN-GORDON SYSTEMS WITH NONLINEAR INTERACTING TERMS 期刊论文
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2021, 卷号: 53, 期号: 5, 页码: 5731-5755
作者:  Ding, Yanheng;  Guo, Qi;  Ruf, Bernhard
收藏  |  浏览/下载：111/0  |  提交时间：2022/04/02
quantum mechanical systems  nonlinearity  solitary waves  
Semiclassical states for Choquard type equations with critical growth: critical frequency case 期刊论文
NONLINEARITY, 2020, 卷号: 33, 期号: 12, 页码: 6695-6728
作者:  Ding, Yanheng;  Gao, Fashun;  Yang, Minbo
收藏  |  浏览/下载：144/0  |  提交时间：2021/01/14
critical Choquard equation  semiclassical states  critical frequency  
Semiclassical states for Dirac-Klein-Gordon system with critical growth 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2020, 卷号: 488, 期号: 2, 页码: 29
作者:  Ding, Yanheng;  Guo, Qi;  Yu, Yuanyang
收藏  |  浏览/下载：125/0  |  提交时间：2020/06/30
Dirac-Klein-Gordon system  Least energy solutions  Concentration  Critical  
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：161/0  |  提交时间：2020/05/24
Nonlinear Dirac equation  Ground state solutions  Concentration