On a nonlinear elliptic problems having large monotonocity with L1-data in weighted Orlicz-Sobolev spaces
We prove in weighted Orlicz-Sobolev spaces, the existence of entropy solution for a class of nonlinear elliptic equations of Leray-Lions type, with large monotonicity condition and right hand side f ∈ L1(Ω).
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Sciendo
2019-06-01
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| Series: | Moroccan Journal of Pure and Applied Analysis |
| Subjects: | |
| Online Access: | https://doi.org/10.2478/mjpaa-2019-0008 |
| _version_ | 1818307494990053376 |
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| author | Haji Badr El Moumni Mostafa El Kouhaila Khaled |
| author_facet | Haji Badr El Moumni Mostafa El Kouhaila Khaled |
| author_sort | Haji Badr El |
| collection | DOAJ |
| description | We prove in weighted Orlicz-Sobolev spaces, the existence of entropy solution for a class of nonlinear elliptic equations of Leray-Lions type, with large monotonicity condition and right hand side f ∈ L1(Ω). |
| first_indexed | 2024-12-13T06:59:17Z |
| format | Article |
| id | doaj.art-83db2ac0bf1841bd8782e7e5ff994b39 |
| institution | Directory Open Access Journal |
| issn | 2351-8227 |
| language | English |
| last_indexed | 2024-12-13T06:59:17Z |
| publishDate | 2019-06-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Moroccan Journal of Pure and Applied Analysis |
| spelling | doaj.art-83db2ac0bf1841bd8782e7e5ff994b392022-12-21T23:55:58ZengSciendoMoroccan Journal of Pure and Applied Analysis2351-82272019-06-015110411610.2478/mjpaa-2019-0008On a nonlinear elliptic problems having large monotonocity with L1-data in weighted Orlicz-Sobolev spacesHaji Badr El0Moumni Mostafa El1Kouhaila Khaled2Laboratory LAMA, Department of Mathematics, Faculty of Sciences Fez, University Sidi Mohamed Ben Abdellah, P.O. Box 1796 Atlas Fez, Morocco.Department of Mathematics, Faculty of Sciences El Jadida, University Chouaib Doukkali, P.O. Box 20, 24000El Jadida, Morocco.Laboratory LAMA, Department of Mathematics, Faculty of Sciences Fez, University Sidi Mohamed Ben Abdellah, P.O. Box 1796 Atlas Fez, Morocco.We prove in weighted Orlicz-Sobolev spaces, the existence of entropy solution for a class of nonlinear elliptic equations of Leray-Lions type, with large monotonicity condition and right hand side f ∈ L1(Ω).https://doi.org/10.2478/mjpaa-2019-0008elliptic problementropy solutionsweighted orlicz-sobolev spacescompact imbeddingδ2-condition46e3535k6035j2035j2535j60 |
| spellingShingle | Haji Badr El Moumni Mostafa El Kouhaila Khaled On a nonlinear elliptic problems having large monotonocity with L1-data in weighted Orlicz-Sobolev spaces Moroccan Journal of Pure and Applied Analysis elliptic problem entropy solutions weighted orlicz-sobolev spaces compact imbedding δ2-condition 46e35 35k60 35j20 35j25 35j60 |
| title | On a nonlinear elliptic problems having large monotonocity with L1-data in weighted Orlicz-Sobolev spaces |
| title_full | On a nonlinear elliptic problems having large monotonocity with L1-data in weighted Orlicz-Sobolev spaces |
| title_fullStr | On a nonlinear elliptic problems having large monotonocity with L1-data in weighted Orlicz-Sobolev spaces |
| title_full_unstemmed | On a nonlinear elliptic problems having large monotonocity with L1-data in weighted Orlicz-Sobolev spaces |
| title_short | On a nonlinear elliptic problems having large monotonocity with L1-data in weighted Orlicz-Sobolev spaces |
| title_sort | on a nonlinear elliptic problems having large monotonocity with l1 data in weighted orlicz sobolev spaces |
| topic | elliptic problem entropy solutions weighted orlicz-sobolev spaces compact imbedding δ2-condition 46e35 35k60 35j20 35j25 35j60 |
| url | https://doi.org/10.2478/mjpaa-2019-0008 |
| work_keys_str_mv | AT hajibadrel onanonlinearellipticproblemshavinglargemonotonocitywithl1datainweightedorliczsobolevspaces AT moumnimostafael onanonlinearellipticproblemshavinglargemonotonocitywithl1datainweightedorliczsobolevspaces AT kouhailakhaled onanonlinearellipticproblemshavinglargemonotonocitywithl1datainweightedorliczsobolevspaces |