Uniqueness of boundary blowup solutions to k-curvature equation

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:399

Article

Nakamori, Saori¹  Takimoto, Kazuhiro¹ 

[1] Hiroshima Univ, Dept Math, Grad Sch Sci, Higashi Hiroshima City, Hiroshima 7398526, Japan

关键词: Curvture equation;    Fully nonlinear equation;    Boundary blowup problem;   

DOI  :  10.1016/j.jmaa.2012.10.021

来源: Elsevier

【 摘 要 】

We consider the boundary blowup problem for the k-curvature equation, i.e., H-k[u] = f(u)g(vertical bar Du vertical bar) in an n-dimensional domain Omega, with the boundary condition u(x) -> infinity as dist(x, delta Omega) -> 0. We prove the uniqueness result under some hypotheses. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

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