非线性SCHR?DINGER-MAXWELL方程的基态解

GROUND STATE SOLUTION FOR THE NONLINEAR SCHR?DINGER-MAXWELL EQUATIONS

本文研究了schr?dinger-Maxwell方程基态解存在性的问题.在V,K,f,g满足文中定理1.1的假设条件下,利用山路定理的方法,获得了系统(NSM)的基态解这一结果,推广了文献[1]中0 <p <1和文献[2]中系统高能解的结果.

In this paper,we study the existence of ground state solution for the Schrodinger-Maxwell equations.Under some assumptions of Theorem 1:1 about V,K and f,g,by using mountain pass theorem,we get the ground state solution for(NSM),we promote the conclusion of the first reference with 0<p<1 and the second reference about high energy solution.