Some General Concepts of Sub- and Supersolutions for Nonlinear Elliptic Problems

Abstract

We propose general and unified concepts of sub- supersolutions for boundary value problems that encompass several types of boundary conditions for nonlinear elliptic equations and variational inequalities. Various, by now classical, sub- and supersolution existence and comparison results are covered by the general theory presented here.

Department(s)

Mathematics and Statistics

Keywords and Phrases

Sub- Supersolutions; Boundary Value Problems

International Standard Serial Number (ISSN)

1230-3429

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2006 Nicolaus Copernicus University - Juliusz Schauder Center, All rights reserved.

Publication Date

01 Jan 2006

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