Rui-Ting Jiang, Chun-Lei Tang
Abstract:
In this article, we study a class of semilinear elliptic equations
involving Hardy-Sobolev critical exponents and Hardy-Sobolev-Maz'ya
potential in a bounded domain. We obtain the existence of positive
solutions using the Mountain Pass Lemma.
Submitted July 14, 2015. Published January 7, 2016.
Math Subject Classifications: 35B09, 35B33, 35J75.
Key Words: Hardy-Sobolev-Maz'ya potential; Hardy-Sobolev critical exponents;
positive solution; Mountain Pass Lemma; local Palais-Smale condition.
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Rui-Ting Jiang School of Mathematics and Statistics Southwest University Chongqing 400715, China email: 1152373321@qq.com |
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Chun-Lei Tang School of Mathematics and Statistics Southwest University Chongqing 400715, China phone +86 23 68253135, fax +86 23 68253135 email: tangcl@swu.edu.cn |
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