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POTENTIAL WELL AND MULTIPLICITY OF SOLUTIONS FOR NONLINEAR DIRAC EQUATIONS 期刊论文
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2020, 卷号: 19, 期号: 1, 页码: 587-607
Authors:  Chen, Yu;  Ding, Yanheng;  Xu, Tian
Favorite  |  View/Download:6/0  |  Submit date:2020/01/10
Dirac equations  semi-classical states  multiplicity  
Concentration of mass in the pressureless limit of Euler equations for power law 期刊论文
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2019, 卷号: 47, 页码: 224-235
Authors:  Ibrahim, Muhammad;  Liu, Fujun;  Liu, Song
Favorite  |  View/Download:11/0  |  Submit date:2019/04/02
Riemann solutions  Delta wave  Power law  Zero pressure gas dynamics  Weighted Dirac-measure  Numerical simulations  
A boundary value problem for the nonlinear Dirac equation on compact spin manifold 期刊论文
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2018, 卷号: 57, 期号: 3
Authors:  Ding, Yanheng;  Li, Jiongyue
Favorite  |  View/Download:5/0  |  Submit date:2019/12/31
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
Authors:  Ding, Yanheng;  Li, Jiongyue;  Xu, Tian
Favorite  |  View/Download:9/0  |  Submit date:2018/07/30
On multiplicity of semi-classical solutions to a nonlinear Maxwell-Dirac system 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2016, 卷号: 260, 期号: 7, 页码: 5565-5588
Authors:  Ding, Yanheng;  Ruf, Bernhard
Favorite  |  View/Download:5/0  |  Submit date:2018/07/30
Nonlinear Maxwell-Dirac system  Semiclassical states  Multiplicity  
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
Authors:  Ding, Yanheng
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Nonlinear Dirac equation  Semi-classical states  Concentration  
Infinitely many solutions for a class of nonlinear Dirac equations without symmetry 期刊论文
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 卷号: 70, 期号: 2, 页码: 921-935
Authors:  Zhao, Fukun;  Ding, Yanheng
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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
Authors:  Ding, Yanheng;  Wei, Juncheng
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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
Authors:  Bartsch, Thomas;  Ding, Yanheng
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nonlinear Dirac equations  variational methods  strongly indefinite functionals  
Multi-symplectic Runge-Kutta methods for nonlinear dirac equations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2006, 卷号: 211, 期号: 2, 页码: 448-472
Authors:  Hong, JL;  Li, C
Favorite  |  View/Download:2/0  |  Submit date:2018/07/30
multi-symplectic Runge-Kutta methods  conservation laws  nonlinear dirac equations