Boundary asymptotic and uniqueness of solutions to the p-Laplacian with infinite boundary values

被引：73

作者：

Mohammed, Ahmed ^{[1
]}

机构：

[1] Ball State Univ, Dept Math Sci, Muncie, IN 47306 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 325卷 / 01期

关键词：

p-Laplacian; Keller-Osserman condition; boundary asymptotic; uniqueness;

D O I：

10.1016/j.jmaa.2006.02.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove boundary asymptotics to solutions of weighted p-Laplacian equations that take infinite value on the boundary of a bounded domain. Uniqueness of such solutions would then follow as a consequence. Our results extend previously known results by allowing weights that are unbounded in the domain. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：480 / 489

页数：10

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[2]

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