@Article{JPDE-25-366, author = {Ghoudi , Rabeh}, 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 = {

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.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v25.n4.5}, url = {http://global-sci.org/intro/article_detail/jpde/5192.html} }