|
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. |
关键词: Nehari流形 临界增长项 最小正能量解 部分径向对称 |
DOI: |
分类号:O175.2 |
基金项目:Supported by National Natural Science Foundation of China (1171261; 11371282). |
|
POSITIVE LEAST ENERGY SOLUTIONS FOR COUPLED EQUATIONS WITH CRITICAL CONE SOBOLEV EXPONENT |
WANG Hao,LIU Xiao-chun
|
Abstract: |
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. |
Key words: Nehari manifold critical growth terms positive least energy solutions partly radially symmetrization decreasing |