Positive solutions for the p-Laplacian with Robin boundary conditions on irregular domains

被引：4
作者：
Drabek, P. [1 ]
Schindler, I. [2 ]
机构：
[1] Univ W Bohemia, Dept Math, Plzen 30614, Czech Republic
[2] Univ Toulouse, Inst Math Toulouse, CNRS, Equipe MIP CEREMATH,UTI, F-31000 Toulouse, France
来源：
APPLIED MATHEMATICS LETTERS | 2011年 / 24卷 / 04期
关键词：
p-Laplacian; Robin boundary conditions; Irregular domains; QUASILINEAR ELLIPTIC-EQUATIONS; ARBITRARY DOMAINS; REGULARITY;
D O I：
10.1016/j.aml.2010.11.022
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the Robin boundary conditions on irregular domains where the usual Sobolev embeddings fail. We present a functional framework permitting superhomogeneous growth of the nonlinearity and prove the existence of positive, bounded, and smooth solutions of the p-Laplacian equation. (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码：588 / 591
页数：4
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