TY - JOUR
T1 - Blowing Up of Sign-changing Solutions to an Elliptic Subcritical Equation
AU - Ghoudi , Rabeh
JO - Journal of Partial Differential Equations
VL - 4
SP - 366
EP - 386
PY - 2012
DA - 2012/12
SN - 25
DO - http://doi.org/10.4208/jpde.v25.n4.5
UR - https://global-sci.org/intro/article_detail/jpde/5192.html
KW - Blow-up analysis
KW - sign-changing solutions
KW - critical exponent
AB - <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>