Abstract and Applied Analysis

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Abstract and Applied Analysis / 2002 / Article

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Volume 7 |Article ID 361942 | 15 pages | https://doi.org/10.1155/S1085337502206028

On the location of the peaks of least-energy solutions to semilinear Dirichlet problems with critical growth

Marco A. S. Souto1

1Universidade Federal de Campina Grande, Departamento de Matemática e Estatıstica, Campina Grande-Pb, Cep 58109-970, Brazil

Received20 Dec 2001

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.

Copyright © 2002 Hindawi Publishing Corporation. 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.

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