| 含Sobolev-Hardy临界项的椭圆方程解的存在性 |
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| 引用本文： | 伍芸,何少通.含Sobolev-Hardy临界项的椭圆方程解的存在性[J].贵州师范大学学报(自然科学版),2012,30(3):47-51. |
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| 作者姓名： | 伍芸 何少通 |
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| 作者单位： | 1. 贵州师范大学数学与计算机科学学院,贵州贵阳,550001
2. 华南理工大学理学院数学科学学院,广东广州,510640 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 研究了一类含Sobolev-Hardy临界项的椭圆型方程,利用集中紧原理和山路引理给出了其解的存在性结果.
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| 关 键 词： | 集中紧原理 Hardy位势 山路引理 |
Estimates on the extremal weighted Sobolev-Hardy functions |
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| WU Yun,HE Shao-tong.Estimates on the extremal weighted Sobolev-Hardy functions[J].Journal of Guizhou Normal University(Natural Sciences),2012,30(3):47-51. |
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| Authors: | WU Yun HE Shao-tong |
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| Institution: | 1.Department of Mathematics and Computer Science,Guizhou Normal University,Guiyang,Guizhou 550001,China; 2.School of Mathematical Sciences,South China University of Technology,Guangdong,Guangzhou 510640,China) |
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| Abstract: | This paper is concerned with a class elliptic equations with critical Sobolev-Hardy.Using compact embedding theorem and Mountain pass lemma,we find the result of the existence of the solution for the equation. |
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| Keywords: | Compact embedding theorem Hardy potential Mountain Pass Lemma |
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