Nontrivial solutions for perturbations of a Hardy-Sobolev operator on unbounded domains |
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| Authors: | V. Raghavendra |
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| Affiliation: | Department of Mathematics, Indian Institute of Technology Kanpur, Kanpur 208 016, India |
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| Abstract: | In this paper we study the existence of nontrivial solution of the problem −Δpu−(μ/[d(x)]p)|u|p−2u=f(u) in Ω and u=0 on ∂Ω, where  is a bounded domain with smooth boundary in  Existence is established using mountain-pass lemma and concentration of compactness principle. |
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| Keywords: | p-Laplacian Hardy-Sobolev operator Unbounded domain |
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