Semilinear elliptic problems involving Hardy-Sobolev-Maz'ya potential and Hardy-Sobolev critical exponents

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.

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Bibliographic Details
Published in:Electronic journal of differential equations 2016-01, Vol.2016 (12), p.1-8
Main Authors: Rui-Ting Jiang, Chun-Lei Tang
Format: Article
Language:English
Subjects:
Hardy-Sobolev critical exponents
Hardy-Sobolev-Maz'ya potential
local Palais-Smale condition
Mountain Pass Lemma
positive solution
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Summary: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.
ISSN:1072-6691