一类非自治Schrdinger-Maxwell系统的解

Solutions for a Class of Non-autononmous Schrdinger-Maxwell Systems

该文研究下面非线性Schr9dinger-Maxwell系统基态解的存在性:{-△u+V(x)u+K(x)Φf(u)=g(x,u),在R^3中-△Φ=2 K(x)F(u),在R3中,其中V:R^3→R,K:R^3→R.在对V,K,f和g作适当的假设下,利用山路定理证明了以上Schrdinger-Maxwell方程的基态解存在.

This paper studies the existence of ground state solutions for the following Schr dinger-Maxwellequations:-△u+V(x)u+K(x)?f(u)=g(x,u),in R 3-△?=2K(x)F(u),in R 3.Where V:R 3→R,K:R 3→R.Under some assumptions of V,K,f and g,by using mountain pass theorem,we obtain a ground state solution for above Schr dinger-Maxwell equations.