Infinitely many solutions for p-Laplacian equation involving critical Sobolev growth

In this paper, we will prove the existence of infinitely many solutions for the following elliptic problem with critical Sobolev growth:−Δpu=|u|p⁎−2u+μ|u|p−2uin Ω,u=0on ∂Ω, provided N>p2+p, where Δp is the p-Laplacian operator, 1

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Bibliographic Details
Published in:Journal of functional analysis 2012-03, Vol.262 (6), p.2861-2902
Main Authors: Cao, Daomin, Peng, Shuangjie, Yan, Shusen
Format: Article
Language:English
Subjects:
Critical Sobolev growth
Infinitely many solutions
p-Laplacian equations
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Summary:In this paper, we will prove the existence of infinitely many solutions for the following elliptic problem with critical Sobolev growth:−Δpu=|u|p⁎−2u+μ|u|p−2uin Ω,u=0on ∂Ω, provided N>p2+p, where Δp is the p-Laplacian operator, 1
ISSN:0022-1236
1096-0783
DOI:10.1016/j.jfa.2012.01.006