带临界锥Sobolev指数项方程组的最小正能量解（英文）  

POSITIVE LEAST ENERGY SOLUTIONS FOR COUPLED EQUATIONS WITH CRITICAL CONE SOBOLEV EXPONENT

作　　者：王浩[1] 刘晓春[1] WANG Hao;LIU Xiaochun(School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China)

机构地区：[1]武汉大学数学与统计学院,湖北武汉430072

出　　处：《数学杂志》2018年第1期75-90,共16页Journal of Mathematics

基　　金：Supported by National Natural Science Foundation of China(1171261;11371282)

摘　　要：借助Nehari流形,本文证明了一类带临界增长项的非线性系统存在最小正能量解,其中有一组解部分径向对称.推广了在经典Sobolev空间中的结果.In this paper,with the help of Nehari manifold,we get the existence of positive least energy solutions for a class of semi-linear system involving critical growth terms,one of which is partly radially symmetrization decreasing,which promotes the results in the classical Sobolev space.

关 键 词：NEHARI流形 临界增长项 最小正能量解 部分径向对称 

分 类 号：O175.2[理学—数学]