The three-solutions theorem for p-Laplacian boundary value problems

被引：7

作者：

Kim, Chan-Gyun ^{[1
]}

机构：

[1] Coll William & Mary, Dept Math, Williamsburg, VA 23185 USA

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2012年 / 75卷 / 02期

基金：

新加坡国家研究基金会;

关键词：

Upper and lower solution; Degree theory; Positive solution; p-Laplacian; Multiplicity; POSITIVE RADIAL SOLUTIONS; SEMILINEAR ELLIPTIC-EQUATIONS; SHAPED BIFURCATION CURVE; ORDERED BANACH-SPACES; DIFFERENTIAL-EQUATIONS; ANNULAR DOMAINS; EXISTENCE;

D O I：

10.1016/j.na.2011.09.031

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The three-solutions theorem is established for p-Laplacian boundary value problems in the presence of two pairs of lower and upper solutions, which are well ordered by the relationship between the lower and upper solutions and degree theory. In addition, an application of the three-solutions theorem is given. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：924 / 931

页数：8