| 摘要: |
| 本文研究了一类与Cafiarelli-Kohn-Nirenberg不等式有关的带临界指数的奇异椭圆型方程组.利用变分方法，证明了方程组的正解及变号解的存在性.结果部分推广了文献[19]的结果. |
| 关键词: 椭圆型方程组 正解 变号解 奇异性 Cafiarelli-Kohn-Nirenberg不等式 |
| DOI： |
| 分类号:O175.23 |
| 基金项目:Supported by National Natural Science Foundation of China (11501143); the Ph.D Launch Scientiflc Research Projects of Guizhou Normal University (2014). |
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| ON A SINGULAR ELLIPTIC SYSTEM INVOLVING THE CAFFARELLI-KOHN-NIRENBERG INEQUALITY |
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PENG Yan-fang
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Department of Mathematics and Science, Guizhou Normal University, Guiyang 550001, China
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| Abstract: |
| In this paper, we consider a singular elliptic system which involves critical exponent and the well-known Cafiarelli-Kohn-Nirenberg inequality. By virtue of variational methods, we establish the existence of positive solution and sign-changing solution to the system, which partially extend the results in[19]. |
| Key words: elliptic system positive solution sign-changing solution singularity CafiarelliKohn-Nirenberg inequality |
