Chern-Simons-Schrodinger方程组的基态解（英文）  

THE GROUND STATE OF THE CHERN-SIMONS-SCHR?DINGER SYSTEM

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

机构地区：[1]江汉大学数学系

出　　处：《数学杂志》2019年第6期823-834,共12页Journal of Mathematics

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

摘　　要：本文研究了带超线性非线性项的陈-西蒙斯-薛定谔方程组.利用集中紧致原理和Nehari流形,证明了该方程组基态解的存在性,得到了该基态解在无穷远处是指数衰减的.We study the nonlinear Chern-Simons-Schr?dinger system with superlinear nonlinearities. By the concentration compactness principle combined with the Nehari manifold, we prove the existence of positive ground state to this problem. Moreover, we obtain that the ground state has exponential decay at infinity.

关 键 词：基态解 陈-西蒙斯-薛定谔方程组 变分法 NEHARI流形 集中紧致原理 

分 类 号：O175.25[理学—数学]