A Dirichlet problem in the strip
In this paper we investigate a Dirichlet problem in a strip and, using the sliding method, we prove monotonicity for positive and bounded solutions. We obtain uniqueness of the solution and show that this solution is a function of only one variable. From these qualitative properties we deduce existe...
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Format: | Article |
Language: | English |
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Texas State University
1996-10-01
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Series: | Electronic Journal of Differential Equations |
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Online Access: | http://ejde.math.txstate.edu/Volumes/1996/10/abstr.html |
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author | Eugenio Montefusco |
author_facet | Eugenio Montefusco |
author_sort | Eugenio Montefusco |
collection | DOAJ |
description | In this paper we investigate a Dirichlet problem in a strip and, using the sliding method, we prove monotonicity for positive and bounded solutions. We obtain uniqueness of the solution and show that this solution is a function of only one variable. From these qualitative properties we deduce existence of a classical solution for this problem. |
first_indexed | 2024-04-12T15:43:39Z |
format | Article |
id | doaj.art-c480d924d6934fb0a053b96d0e01a093 |
institution | Directory Open Access Journal |
issn | 1072-6691 |
language | English |
last_indexed | 2024-04-12T15:43:39Z |
publishDate | 1996-10-01 |
publisher | Texas State University |
record_format | Article |
series | Electronic Journal of Differential Equations |
spelling | doaj.art-c480d924d6934fb0a053b96d0e01a0932022-12-22T03:26:43ZengTexas State UniversityElectronic Journal of Differential Equations1072-66911996-10-0119961019A Dirichlet problem in the stripEugenio MontefuscoIn this paper we investigate a Dirichlet problem in a strip and, using the sliding method, we prove monotonicity for positive and bounded solutions. We obtain uniqueness of the solution and show that this solution is a function of only one variable. From these qualitative properties we deduce existence of a classical solution for this problem.http://ejde.math.txstate.edu/Volumes/1996/10/abstr.htmlMaximum PrincipleSliding MethodSubsolution and Supersolution. |
spellingShingle | Eugenio Montefusco A Dirichlet problem in the strip Electronic Journal of Differential Equations Maximum Principle Sliding Method Subsolution and Supersolution. |
title | A Dirichlet problem in the strip |
title_full | A Dirichlet problem in the strip |
title_fullStr | A Dirichlet problem in the strip |
title_full_unstemmed | A Dirichlet problem in the strip |
title_short | A Dirichlet problem in the strip |
title_sort | dirichlet problem in the strip |
topic | Maximum Principle Sliding Method Subsolution and Supersolution. |
url | http://ejde.math.txstate.edu/Volumes/1996/10/abstr.html |
work_keys_str_mv | AT eugeniomontefusco adirichletprobleminthestrip AT eugeniomontefusco dirichletprobleminthestrip |