Wen Zhang, Xianhua Tang, Jian Zhang
Abstract:
In this article, we consider the existence of infinitely many nontrivial
solutions for the following semilinear Schr\"odinger equation with
electromagnetic potential
where i is the imaginary unit, V is the scalar (or electric) potential,
A is the vector (or magnetic) potential. We establish the existence of
infinitely many solutions via variational methods.
Submitted October 7, 2015. Published January 15, 2016.
Math Subject Classifications: 58E05, 35J20.
Key Words: Semilinear Schrodinger equation; magnetic potential;
variational methods.
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Wen Zhang School of Mathematics and Statistics Central South University Changsha, 410083 Hunan, China email: zwmath2011@163.com | |
Xianhua Tang School of Mathematics and Statistics Central South University Changsha, 410083 Hunan, China email: tangxh@mail.csu.edu.cn | |
Jian Zhang School of Mathematics and Statistics Hunan University of Commerce Changsha, 410205 Hunan, China email: zhangjian433130@163.com |
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