带有凹凸非线性项的Klein-Gordon-Maxwell系统解的存在性和多重性

Existence and Multiplicity of Solutions for Klein-Gordon-Maxwell Systems with Concave-Convex Nonlinearities

研究一类Klein-Gordon-Maxwell系统解的存在性和多重性.当非线性项是凹凸非线性项时,利用变分方法获得了系统解的存在性和多重性结果,并完善了此系统解的存在性的已有结果.

In this paper, we establish the existence and multiplicity of solutions for a class of Klein-Gordon-Maxwell system. When the nonlinearities are concave–convex nonlinearities, the existence and multiplicity of solutions for the system are obtained via variational methods. Our result completes some recent works concerning the existence of solutions of this system.