Fangfang Liao, Xiaoping Wang, Zhigang Liu
Abstract:
This article concerns the nonlinear Schrodinger-Maxwell system
where V and Q are unbounded and decaying radial. Under suitable
assumptions on nonlinearity f(u), we establish the existence of
nontrivial solutions and a sequence of high energy solutions in
weighted Sobolev space via Mountain Pass Theorem and symmetric
Mountain Pass Theorem.
Submitted March 14, 2014. Published June 27, 2014.
Math Subject Classifications: 35J20, 35J60.
Key Words: Schrodinger-Maxwell system; unbounded or decaying potential;
weighted Sobolev space; mountain pass theorem
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Fangfang Liao School of Mathematics and Statistics, Central South University Changsha, 410083, Hunan, China. Department of Mathematics, Xiangnan University Chenzhou, 423000, Hunan, China email: liaofangfang1981@126.com | |
Xiaoping Wang Department of Mathematics, Xiangnan University Chenzhou, 423000, Hunan, China email: wxp31415@163.com | |
Zhigang Liu Department of Mathematics, Xiangnan University Chenzhou, 423000, Hunan, China email: liuzg22@sina.com |
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