| 摘要: |
| 本文研究了schrödinger-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. |
| 关键词: schrödinger-Maxwell方程 山路定理 基态解 Nehari流形 |
| DOI： |
| 分类号:O175.25 |
| 基金项目: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）. |
|
| GROUND STATE SOLUTION FOR THE NONLINEAR SCHRÖDINGER-MAXWELL EQUATIONS |
|
JIANG Ying-xing, HUANG Wen-nian
|
|
School of Mathematics and Statistics, Guangxi Normal University, Guilin 541006, China
|
| Abstract: |
| In this paper, we study the existence of ground state solution for the SchrödingerMaxwell 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. |
| Key words: Schrödinger-Maxwell equations mountain pass theorem ground state solution Nehari manifold |
