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《Journal of Guangxi Normal University(Natural Science Edition)》 2018-04
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Ground State Solutions for the Nonlinear Schrdinger-Maxwell Equations

JIANG Yingxing;HUANG Wennian;College of Mathematics and Statistics,Guangxi Normal University;  
In this paper,under some assumptions of V,K and f,the following nonlinear SchrdingerMaxwell equations are studied.{-Δu+V(x)u+K(x)φu=f(x,u), x∈R~3,-Δφ=K(x)u~2,x∈R~3.First,the nontrivial solution of Schr9 dinger-Maxwell equations is obtained by using mountain pass theorem.Then,it is shown that the functional is achieved on Nehari manifold,and finally,ground state solutions of Schr9 dinger-Maxwell equations are obtained.Some conditions in previous literatures are weakened and the conclusions of high energy solutions in previous references are generalized in this paper.
【Fund】: 国家自然科学基金(11771103);; 广西自然科学基金(2015GXNSFBA139018);; 广西师范大学科学研究基金(2014ZD001);; 广西研究生教育创新计划项目(XYCSZ2018060)
【CateGory Index】: O175
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