A remark on the uniqueness of positive solutions for some Dirichlet problems

被引：6

作者：

Afrouzi, GA ^{[1
]}

Rasouli, SH ^{[1
]}

机构：

[1] Mazandaran Univ, Fac Basic Sci, Dept Math, Babol Sar, Iran

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2006年 / 64卷 / 12期

关键词：

logistic equation; p-Laplacian; uniqueness;

D O I：

10.1016/j.na.2005.09.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we prove the uniqueness of positive weak solutions to the problem [GRAPHICS] by a direct argument. Here Omega is a bounded domain in R-N (N >= 3) with smooth boundary partial derivative Omega, Delta(p) denotes the p-Laplacian operator defined by Delta(p)z = div(vertical bar del z vertical bar(p-2)del z); P > 1, g(x, 0) = 0, for a.e. x epsilon Omega, and g(x, u) is a Caratheodory function. We provide a direct uniqueness proof for this problem, under certain conditions. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：2773 / 2777

页数：5

共 10 条

[1] On principal eigenvalues for boundary value problems with indefinite weight and Robin boundary conditions [J].