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

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.