GROUND STATE SOLUTIONS FOR THE CRITICAL KLEIN-GORDON-MAXWELL SYSTEM  

作　　者：Lixia WANG Xiaoming WANG Luyu ZHANG 王丽霞;汪小明;张鲁豫(School of Sciences, Tianjin Chengjian University, Tianjin 300384, China;School of Mathematics and Computer Science, Shangrao Normal University, Shangrao 334001, China;School of Mathematical and Statistics, North China University of Water Resources and Electric Power, Zhengzhou 450045, China)

机构地区：[1]School of Sciences, Tianjin Chengjian University, Tianjin 300384, China [2]School of Mathematics and Computer Science, Shangrao Normal University, Shangrao 334001, China [3]School of Mathematical and Statistics, North China University of Water Resources and Electric Power, Zhengzhou 450045, China

出　　处：《Acta Mathematica Scientia》2019年第5期1451-1460,共10页数学物理学报（B辑英文版）

基　　金：partially supported by the National Natural Science Foundation of China(11801400,11571187);partially supported by the National Natural Science Foundation of China(11861053);the Postdoctoral Science Foundation of China(2017M611159)

摘　　要：In this article,we study the following Klein-Gordon-Maxwell system involving critical exponent■where λ and w are two positive constants.We found the existence of positive ground state solutions(that is,for solutions which minimizes the action functional among all the solutions)of(KGM) which improves some previous existence result in Carriao et al.(2012) [8].In this article, we study the following Klein-Gordon-Maxwell system involving critical exponent (KGM){-△u+V(x)u-(2w+Φ)Φu=λ|u|^q-2u+|u|^4u,x∈R^3,-△Φ+Φu^2=-wu^2,x∈R^3,where λ and ω are two positive constants. We found the existence of positive ground state solutions (that is, for solutions which minimizes the action functional among all the solutions) of (KGM) which improves some previous existence result in Carriao et al.(2012)[8].

关 键 词：ground state solution Klein-Gordon-Maxwell system Ekeland's VARIATIONAL principle MOUNTAIN PASS theorem 

分 类 号：O[理学]