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

页码：501 / 521

页数：21

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