带有临界项的Klein-Gordon-Maxwell系统解的存在性  

Existence of Solutions for Klein-Gordon-Maxwell System with Critical Terms

作　　者：杜玲玉 李安然[1] DU Lingyu;LI Anran(School of Mathematical Sciences, Shanxi University, Taiyuan 030006, China)

机构地区：[1]山西大学数学科学学院

出　　处：《沈阳大学学报（自然科学版）》2019年第3期257-262,共6页Journal of Shenyang University：Natural Science

基　　金：国家自然科学基金资助项目(11701346,11671239,11571209)

摘　　要：研究了R^3中带有临界项的Klein-Gordon-Maxwell系统的多种解的存在性.在函数h满足一定条件下,验证能量泛函满足对偶喷泉定理,证明了存在一列负能量解.The existence of multiple solutions of the Klein-Gordon-Maxwell system with critical terms in R^3 was studied. Under the condition that the function h satisfies certain conditions, the verification energy function satisfies the dual fountain theorem, which proves that there is a list of negative energy solution.

关 键 词：Klein-Gordon-Maxwell系统 EKELAND变分原理 对偶喷泉定理 基态解 负能量解 

分 类 号：O175.25[理学—数学]