Existence and comparison results for difference φ-Laplacian boundary value problems with lower and upper solutions in reverse order

被引：43
|
作者：
Cabada, A [1 ]
Otero-Espinar, V [1 ]
机构：
[1] Univ Santiago de Compostela, Fac Matemat, Dept Anal Matemat, Santiago De Compostela 15782, Spain
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2002年 / 267卷 / 02期
关键词：
Laplacian problems; lower and upper solutions; monotone iterative technique; comparison principles;
D O I：
10.1006/jmaa.2001.7783
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is devoted to the study of the existence and comparison results for nonlinear difference phi-Laplacian problems with mixed, Dirichlet, Neumann, and periodic boundary value conditions. We deduce existence of extremal solutions of periodic and Neumann boundary value problems lying between a pair of lower and upper solutions given in reverse order. We prove the optimality of some assumptions in phi. (C) 2002 Elsevier Science (USA).
引用
收藏
页码：501 / 521
页数：21
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