| 一类与Cafiarelli-Kohn-Nirenberg不等式有关的奇异椭圆型方程组 |
| |
| 引用本文： | 彭艳芳.一类与Cafiarelli-Kohn-Nirenberg不等式有关的奇异椭圆型方程组[J].数学杂志,2017,37(4):685-697. |
| |
| 作者姓名： | 彭艳芳 |
| |
| 作者单位： | 贵州师范大学数学科学学院, 贵州 贵阳 550001 |
| |
| 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). |
| |
| 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 |
| 收稿时间： | 2015/8/29 0:00:00 |
| 修稿时间： | 2016/2/18 0:00:00 |
ON A SINGULAR ELLIPTIC SYSTEM INVOLVING THE CAFFARELLI-KOHN-NIRENBERG INEQUALITY |
| |
| PENG Yan-fang.ON A SINGULAR ELLIPTIC SYSTEM INVOLVING THE CAFFARELLI-KOHN-NIRENBERG INEQUALITY[J].Journal of Mathematics,2017,37(4):685-697. |
| |
| Authors: | PENG Yan-fang |
| |
| Institution: | Department of Mathematics and Science, Guizhou Normal University, Guiyang 550001, China |
| |
| 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 in19]. |
| |
| Keywords: | elliptic system positive solution sign-changing solution singularity CafiarelliKohn-Nirenberg inequality |
|
| 点击此处可从《数学杂志》浏览原始摘要信息 |
| 点击此处可从《数学杂志》下载免费的PDF全文 |
