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...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Texas State University
1996-10-01
|
| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/1996/10/abstr.html |
| _version_ | 1811249279627427840 |
|---|---|
| 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 |