Year: 2012
Author: Rabeh Ghoudi
Journal of Partial Differential Equations, Vol. 25 (2012), Iss. 4 : pp. 366–386
Abstract
This paper is concerned with the following non linear elliptic problem involving nearly critical exponent (P^k_ε): (-Δ)^ku=K(x)|u|^{(4k/(n-1k))-ε}u in Ω, Δ^{k-1}u=…=Δu=u=0 on ∂Ω, where Ω is a bounded smooth domain in R^n, n≥ 2k+2, k≥ 1, ε is a small positive parameter and K is a smooth positive function in Ω. We construct signchanging solutions of (P^k_ε) having two bubbles and blowing up either at two different critical points of K with the same speed or at the same critical point.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v25.n4.5
Journal of Partial Differential Equations, Vol. 25 (2012), Iss. 4 : pp. 366–386
Published online: 2012-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 21
Keywords: Blow-up analysis