Sub-supersolution Theorems for Quasilinear Elliptic Problems: a Variational Approach

Abstract

This paper presents a variational approach to obtain sub - supersolution theorems for a certain type of boundary value problem for a class of quasilinear elliptic partial differential equations. In the case of semilinear ordinary differential equations results of this type were first proved by Hans Knobloch in the early sixties using methods developed by Cesari.

Department(s)

Mathematics and Statistics

Keywords and Phrases

Periodic solutions; sub and supersolutions; variational approach

International Standard Serial Number (ISSN)

1072-6691

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2004 Southwest Texas State University, All rights reserved.

Publication Date

01 Jan 2004

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