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Upper and Lower Solution Method and a Singular Boundary Value Problem for the One-Dimensional p-Laplacian

✍ Scribed by Daqing Jiang; Wenjie Gao

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
124 KB
Volume
252
Category
Article
ISSN
0022-247X

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πŸ“œ SIMILAR VOLUMES

A note on upper and lower solutions for
A note on upper and lower solutions for singular initial value problems
✍ Ravi P. Agarwal; Donal O'Regan πŸ“‚ Article πŸ“… 2000 πŸ› John Wiley and Sons 🌐 English βš– 87 KB πŸ‘ 2 views

An upper and lower solution theory is presented for singular initial value problems. Our non-linear term may be singular in both the independent and dependent variable. Existence will be established using Schauder's "xed point theorem and the Arzela}Ascoli theorem.

An upper and lower solution approach for
An upper and lower solution approach for singular boundary value problems with sign changing non-linearities
✍ Ravi P. Agarwal; Donal O'Regan πŸ“‚ Article πŸ“… 2002 πŸ› John Wiley and Sons 🌐 English βš– 142 KB

## Abstract We obtain via Schauder's fixed point theorem new results for singular second‐order boundary value problems where our non‐linear term __f__(__t__,__y__,__z__) is allowed to change sign. In particular, our problem may be singular at __y__=0, __t__=0 and/or __t__=1. Copyright Β© 2002 John W

Existence and Comparison Results for Dif
Existence and Comparison Results for Difference Ο†-Laplacian Boundary Value Problems with Lower and Upper Solutions in Reverse Order
✍ Alberto Cabada; Victoria Otero-Espinar πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 148 KB

This paper is devoted to the study of the existence and comparison results for nonlinear difference Ο†-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 p