Multiplicity of Solutions for an Elliptic Problem with Critical Sobolev-Hardy Exponents and Concave-Convex Nonlinearities

We study the existence of multiple solutions for the following elliptic problem: -Δpu-μ|u|p-2u/|x|p=|u|p*(t)-2/|x|tu+λ|u|q-2/|x|su,u∈W01,p(Ω). We prove that if 1≤q<p<N, then there is a μ0, such that for any μ∈0,μ0, the above mentioned problem possesses infinitely many weak solutions. Our resul...

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Bibliographic Details
Main Authors: Juan Li, Yuxia Tong
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2014/180105
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