含指数增长非线性项的Chern-Simons-Schrodinger方程组解的存在性  

THE EXISTENCE OF SOLUTIONS TO CHERN-SIMONS-SCHRODINGER SYSTEMS WITH EXPONENTIAL NONLINEARITIES

作　　者：张灿 万优艳[1] ZHANG Can;WAN You-yan(Department of Mathematics,Jianghan University,Wuhan 430056,China)

机构地区：[1]江汉大学数学系,湖北武汉430056

出　　处：《数学杂志》2018年第5期804-812,共9页Journal of Mathematics

基　　金：Supported by the Scientific Research Fund of Hubei Provincial Education Department(B2016299)

摘　　要：本文研究了带指数增长的非线性项的非线性Chern-Simons-Schrdinger方程组.利用山路引理的方法,得到该方程组解的存在性.In this paper,the nonlinear Chern-Simons-Schroodinger systems with exponential nonlinearities are studied.By mountain pass theorem,the existence of a solution to these systems is obtained.

关 键 词：Chern-Simons-Schrodinger方程组 指数增长的非线性项 变分法 山路引理 

分 类 号：O175.25[理学—数学]