| 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). |
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| POSITIVE LEAST ENERGY SOLUTIONS FOR COUPLED EQUATIONS WITH CRITICAL CONE SOBOLEV EXPONENT |
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WANG Hao, LIU Xiao-chun
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School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China
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| 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 |
