Abstract

We study the following boundary value problem {Delta u + lambda u(p-1)e(up) = 0, u > 0 in Omega; u=0 on partial derivative Omega, where Omega is a bounded domain in R-2 with smooth boundary, lambda > 0 is a small parameter and 0 < p < 2. We construct bubbling solutions to problem (0.1) using a Lyapunov-Schmidt reduction procedure. (C) 2014 Elsevier Inc. All rights reserved.