@Article{JPDE-25-4,
author = {Rabeh, Ghoudi},
title = {Blowing Up of Sign-changing Solutions to an Elliptic Subcritical Equation},
journal = {Journal of Partial Differential Equations},
year = {2012},
volume = {25},
number = {4},
pages = {366--386},
abstract = {<p>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.</p>},
issn = {2079-732X},
doi = {https://doi.org/10.4208/jpde.v25.n4.5},
url = {https://global-sci.com/article/88359/blowing-up-of-sign-changing-solutions-to-an-elliptic-subcritical-equation}
}