Positivity preserving results for a biharmonic equation under Dirichlet boundary conditions
We prove a dichotomy result giving the positivity preserving property for a biharmonic equation with Dirichlet boundary conditions arising in MEMS models. We adapt some ideas in [H.-Ch. Grunau, G. Sweers, Positivity for equations involving polyharmonic operators with Dirichlet boundary conditions, M...
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| Format: | Article |
| Language: | English |
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AGH Univeristy of Science and Technology Press
2014-01-01
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| Series: | Opuscula Mathematica |
| Subjects: | |
| Online Access: | http://www.opuscula.agh.edu.pl/vol34/3/art/opuscula_math_3436.pdf |
| _version_ | 1818030957572128768 |
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| author | Hanen Ben Omrane Saïma Khenissy |
| author_facet | Hanen Ben Omrane Saïma Khenissy |
| author_sort | Hanen Ben Omrane |
| collection | DOAJ |
| description | We prove a dichotomy result giving the positivity preserving property for a biharmonic equation with Dirichlet boundary conditions arising in MEMS models. We adapt some ideas in [H.-Ch. Grunau, G. Sweers, Positivity for equations involving polyharmonic operators with Dirichlet boundary conditions, Math. Ann. 307 (1997), 589-626]. |
| first_indexed | 2024-12-10T05:43:50Z |
| format | Article |
| id | doaj.art-e5d7545f0f684df0b39a944428a84712 |
| institution | Directory Open Access Journal |
| issn | 1232-9274 |
| language | English |
| last_indexed | 2024-12-10T05:43:50Z |
| publishDate | 2014-01-01 |
| publisher | AGH Univeristy of Science and Technology Press |
| record_format | Article |
| series | Opuscula Mathematica |
| spelling | doaj.art-e5d7545f0f684df0b39a944428a847122022-12-22T02:00:14ZengAGH Univeristy of Science and Technology PressOpuscula Mathematica1232-92742014-01-01343601608http://dx.doi.org/10.7494/OpMath.2014.34.3.6013436Positivity preserving results for a biharmonic equation under Dirichlet boundary conditionsHanen Ben Omrane0Saïma Khenissy1Institut Préparatoire des Études d'Ingénierie de Tunis, Mont-Fleury, TunisieDépartement de Mathématiques Appliquées, Institut Supérieur d'Informatique, Ariana, TunisieWe prove a dichotomy result giving the positivity preserving property for a biharmonic equation with Dirichlet boundary conditions arising in MEMS models. We adapt some ideas in [H.-Ch. Grunau, G. Sweers, Positivity for equations involving polyharmonic operators with Dirichlet boundary conditions, Math. Ann. 307 (1997), 589-626].http://www.opuscula.agh.edu.pl/vol34/3/art/opuscula_math_3436.pdfbiharmonic equationpositivity preservingDirichlet problem |
| spellingShingle | Hanen Ben Omrane Saïma Khenissy Positivity preserving results for a biharmonic equation under Dirichlet boundary conditions Opuscula Mathematica biharmonic equation positivity preserving Dirichlet problem |
| title | Positivity preserving results for a biharmonic equation under Dirichlet boundary conditions |
| title_full | Positivity preserving results for a biharmonic equation under Dirichlet boundary conditions |
| title_fullStr | Positivity preserving results for a biharmonic equation under Dirichlet boundary conditions |
| title_full_unstemmed | Positivity preserving results for a biharmonic equation under Dirichlet boundary conditions |
| title_short | Positivity preserving results for a biharmonic equation under Dirichlet boundary conditions |
| title_sort | positivity preserving results for a biharmonic equation under dirichlet boundary conditions |
| topic | biharmonic equation positivity preserving Dirichlet problem |
| url | http://www.opuscula.agh.edu.pl/vol34/3/art/opuscula_math_3436.pdf |
| work_keys_str_mv | AT hanenbenomrane positivitypreservingresultsforabiharmonicequationunderdirichletboundaryconditions AT saimakhenissy positivitypreservingresultsforabiharmonicequationunderdirichletboundaryconditions |