MULTIPLE SOLUTIONS FOR SCHRODINGER-MAXWELL SYSTEMS WITH UNBOUNDED AND DECAYING RADIAL POTENTIALS

作者：Liao, Fangfang^*; Wang, Xiaoping; Liu, Zhigang

来源：Electronic Journal of Differential Equations, 2014, 150.

• Schrodinger-Maxwell system
• unbounded or decaying potential
• weighted Sobolev space
• mountain pass theorem

This article concerns the nonlinear Schrodinger-Maxwell system
-Delta u + V (vertical bar x vertical bar)u + Q(vertical bar x vertical bar)phi u = Q (vertical bar x vertical bar)integral(u), in R-3
-Delta phi = Q (vertical bar x vertical bar)u(2), in R-3
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.

• 出版日期2014-6-27
• 单位湘南学院; 中南大学