Uniqueness of large solutions

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:395

Article

Costin, O.²  Dupaigne, L.¹  Goubet, O.¹ 

[1] Univ Picardie Jules Verne, LAMFA, CNRS, UMR 7352, F-80039 Amiens, France

[2] Ohio State Univ, Dept Math, Columbus, OH 43210 USA

关键词: Elliptic partial differential equations;    Boundary blow-up;    Large solutions;   

DOI  :  10.1016/j.jmaa.2012.05.085

来源: Elsevier

【 摘 要 】

Given a nondecreasing nonlinearity f, we prove uniqueness of large solutions to Eq. (1) below, in the following two cases: the domain is the ball or the domain has nonnegative mean curvature and the nonlinearity is asymptotically convex. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free