Uniqueness of positive solutions for a boundary blow-up problem

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:360

Article

Garcia-Melian, Jorge^1,2 

[1] Univ La Laguna, Dept Anal Matemat, San Cristobal la Laguna 38271, Spain

[2] Univ La Laguna, Fac Fis, Inst Univ Estudios Avanzados IUdEA Fis Atom Mol &, San Cristobal la Laguna 38203, Spain

关键词: Boundary blow-up;    Uniqueness;    Asymptotic behavior;   

DOI  :  10.1016/j.jmaa.2009.06.077

来源: Elsevier

【 摘 要 】

In this paper we prove the uniqueness of the positive solution for the boundary blow-up problem {Delta u = f(u) in Omega, u = infinity on partial derivative Omega, where Omega is a C-2 bounded domain in R-N, under the hypotheses that f(t) is nondecreasing in t > 0 and f (t)/t(p) is increasing for large t and some p > 1. We also consider the uniqueness of a related problem when the equation includes a nonnegative weight a(x). (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

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