Abstract and Applied Analysis
Volume 7 (2002), Issue 10, Pages 547-561
doi:10.1155/S1085337502206028
On the location of the peaks of least-energy solutions to semilinear Dirichlet problems with critical growth
Universidade Federal de Campina Grande, Departamento de Matemática e Estatıstica, Campina Grande-Pb, Cep 58109-970, Brazil
Received 20 December 2001
Copyright © 2002 Marco A. S. Souto. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
We study the location of the peaks of solution for the critical growth problem −ε 2Δu+u=f(u)+u 2*−1, u>0 in Ω, u=0 on ∂Ω, where Ω is a bounded domain; 2*=2N/(N−2), N≥3, is the critical Sobolev exponent and f has a behavior like up, 1<p<2*−1.