Bubbling solutions for an exponential nonlinearity in R2

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:257

Article

Deng, Shengbing¹  Musso, Monica¹ 

[1] Pontificia Univ Catolica Chile, Dept Matemat, Macul, Chile

关键词: Bubbling solutions;    Lyapunov-Schmidt reduction procedure;   

DOI  :  10.1016/j.jde.2014.05.034

来源: Elsevier

【 摘 要 】

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.

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