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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Format: | Article |
Language: | English |
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Texas State University
2004-10-01
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Series: | Electronic Journal of Differential Equations |
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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. |
first_indexed | 2024-04-11T23:33:33Z |
format | Article |
id | doaj.art-8d7f6248f67a488ca1ee2c43ad82dbfa |
institution | Directory Open Access Journal |
issn | 1072-6691 |
language | English |
last_indexed | 2024-04-11T23:33:33Z |
publishDate | 2004-10-01 |
publisher | Texas State University |
record_format | Article |
series | Electronic Journal of Differential Equations |
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 |