A note on some elliptic equations of anisotropic type
We prove the existence of weak solutions to some nonlinear elliptic equations governed by an anisotropic operator mapping an appropriate function space to its dual. A sign condition with no growth restrictions with respect to the variable solution is imposed to a perturbed nonlinear term to the oper...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Università degli Studi di Catania
2011-06-01
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| Series: | Le Matematiche |
| Subjects: | |
| Online Access: | http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/863 |
| _version_ | 1818163340954828800 |
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| author | Moussa Chrif Said El Manouni |
| author_facet | Moussa Chrif Said El Manouni |
| author_sort | Moussa Chrif |
| collection | DOAJ |
| description | We prove the existence of weak solutions to some nonlinear elliptic equations governed by an anisotropic operator mapping an appropriate function space to its dual. A sign condition with no growth restrictions with respect to the variable solution is imposed to a perturbed nonlinear term to the operator. The data is considered to be close to L^1 .<br /> |
| first_indexed | 2024-12-11T16:48:01Z |
| format | Article |
| id | doaj.art-c6a9bb6c83114a08905dab6d8a1c7b80 |
| institution | Directory Open Access Journal |
| issn | 0373-3505 2037-5298 |
| language | English |
| last_indexed | 2024-12-11T16:48:01Z |
| publishDate | 2011-06-01 |
| publisher | Università degli Studi di Catania |
| record_format | Article |
| series | Le Matematiche |
| spelling | doaj.art-c6a9bb6c83114a08905dab6d8a1c7b802022-12-22T00:58:11ZengUniversità degli Studi di CataniaLe Matematiche0373-35052037-52982011-06-01661143151784A note on some elliptic equations of anisotropic typeMoussa ChrifSaid El ManouniWe prove the existence of weak solutions to some nonlinear elliptic equations governed by an anisotropic operator mapping an appropriate function space to its dual. A sign condition with no growth restrictions with respect to the variable solution is imposed to a perturbed nonlinear term to the operator. The data is considered to be close to L^1 .<br />http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/863Anisotropic nonlinear equationsWeak solutionsSign condition |
| spellingShingle | Moussa Chrif Said El Manouni A note on some elliptic equations of anisotropic type Le Matematiche Anisotropic nonlinear equations Weak solutions Sign condition |
| title | A note on some elliptic equations of anisotropic type |
| title_full | A note on some elliptic equations of anisotropic type |
| title_fullStr | A note on some elliptic equations of anisotropic type |
| title_full_unstemmed | A note on some elliptic equations of anisotropic type |
| title_short | A note on some elliptic equations of anisotropic type |
| title_sort | note on some elliptic equations of anisotropic type |
| topic | Anisotropic nonlinear equations Weak solutions Sign condition |
| url | http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/863 |
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