Sub-supersolution theorems for quasilinear elliptic problems: A variational approach

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...

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Main Authors: Vy Khoi Le, Klaus Schmitt
Format: Article
Language:English
Published: Texas State University 2004-10-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2004/118/abstr.html
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author Vy Khoi Le
Klaus Schmitt
author_facet Vy Khoi Le
Klaus Schmitt
author_sort Vy Khoi Le
collection DOAJ
description 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.
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spelling doaj.art-8d7f6248f67a488ca1ee2c43ad82dbfa2022-12-22T03:57:03ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912004-10-01200411817Sub-supersolution theorems for quasilinear elliptic problems: A variational approachVy Khoi LeKlaus SchmittThis 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.http://ejde.math.txstate.edu/Volumes/2004/118/abstr.htmlSub and supersolutionsperiodic solutionsvariational approach.
spellingShingle Vy Khoi Le
Klaus Schmitt
Sub-supersolution theorems for quasilinear elliptic problems: A variational approach
Electronic Journal of Differential Equations
Sub and supersolutions
periodic solutions
variational approach.
title Sub-supersolution theorems for quasilinear elliptic problems: A variational approach
title_full Sub-supersolution theorems for quasilinear elliptic problems: A variational approach
title_fullStr Sub-supersolution theorems for quasilinear elliptic problems: A variational approach
title_full_unstemmed Sub-supersolution theorems for quasilinear elliptic problems: A variational approach
title_short Sub-supersolution theorems for quasilinear elliptic problems: A variational approach
title_sort sub supersolution theorems for quasilinear elliptic problems a variational approach
topic Sub and supersolutions
periodic solutions
variational approach.
url http://ejde.math.txstate.edu/Volumes/2004/118/abstr.html
work_keys_str_mv AT vykhoile subsupersolutiontheoremsforquasilinearellipticproblemsavariationalapproach
AT klausschmitt subsupersolutiontheoremsforquasilinearellipticproblemsavariationalapproach