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

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Date
2016-01-07
Authors
Jiang, Rui-Ting
Tang, Chun-Lei
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Hardy-Sobolev-Maz'ya potential, Hardy-Sobolev critical exponents, Positive solution, Mountain Pass Lemma, Local Palais-Smale condition
Citation
Jiang, R. T., & Tang, C. L. (2016). Semilinear elliptic problems involving Hardy-Sobolev-Maz'ya potential and Hardy-Sobolev critical exponents. <i>Electronic Journal of Differential Equations, 2016</i>(12), pp. 1-8.
URI
https://hdl.handle.net/10877/16884
Collections
Electronic Journal of Differential Equations