Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4611059 | Journal of Differential Equations | 2012 | 30 Pages |
Abstract
In this paper we study the problemequation(0.1){−Δu=|x|αupα−ϵin Ω,u>0in Ω,u=0on ∂Ω, where pα=N+2+2αN−2, Ω is a smooth bounded domain of RNRN, 0∈Ω0∈Ω, N⩾3N⩾3 and α∈(0,1]α∈(0,1]. We show that, for ϵ small enough, there exists at least one solution concentrating at x=0x=0.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Francesca Gladiali, Massimo Grossi,