Bounded weak solutions to nonlinear elliptic equations
In this work, we are concerned with a class of elliptic problems with both absorption terms and critical growth in the gradient. We suppose that the data belong to $L^{m}(\Omega)$ with $m>n/2$ and we prove the existence of bounded weak solutions via $L^{\infty}$-estimates. A priori estimates and...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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University of Szeged
2009-03-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=363 |
| _version_ | 1797830742595600384 |
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| author | Abderrahmane El Hachimi Jaouad Igbida |
| author_facet | Abderrahmane El Hachimi Jaouad Igbida |
| author_sort | Abderrahmane El Hachimi |
| collection | DOAJ |
| description | In this work, we are concerned with a class of elliptic problems with both absorption terms and critical growth in the gradient. We suppose that the data belong to $L^{m}(\Omega)$ with $m>n/2$ and we prove the existence of bounded weak solutions via $L^{\infty}$-estimates. A priori estimates and Stampacchia's $L^{\infty}$-regularity are our main ingredient. |
| first_indexed | 2024-04-09T13:40:58Z |
| format | Article |
| id | doaj.art-d9aea175045a467398a5717a6f4bbdcc |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:40:58Z |
| publishDate | 2009-03-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-d9aea175045a467398a5717a6f4bbdcc2023-05-09T07:52:59ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752009-03-0120091011610.14232/ejqtde.2009.1.10363Bounded weak solutions to nonlinear elliptic equationsAbderrahmane El Hachimi0Jaouad Igbida1UFR Mathématiques Appliquées et Industrielles, El Jadida, MarocUFR Mathématiques Appliquées et Industrielles, El Jadida, MarocIn this work, we are concerned with a class of elliptic problems with both absorption terms and critical growth in the gradient. We suppose that the data belong to $L^{m}(\Omega)$ with $m>n/2$ and we prove the existence of bounded weak solutions via $L^{\infty}$-estimates. A priori estimates and Stampacchia's $L^{\infty}$-regularity are our main ingredient.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=363 |
| spellingShingle | Abderrahmane El Hachimi Jaouad Igbida Bounded weak solutions to nonlinear elliptic equations Electronic Journal of Qualitative Theory of Differential Equations |
| title | Bounded weak solutions to nonlinear elliptic equations |
| title_full | Bounded weak solutions to nonlinear elliptic equations |
| title_fullStr | Bounded weak solutions to nonlinear elliptic equations |
| title_full_unstemmed | Bounded weak solutions to nonlinear elliptic equations |
| title_short | Bounded weak solutions to nonlinear elliptic equations |
| title_sort | bounded weak solutions to nonlinear elliptic equations |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=363 |
| work_keys_str_mv | AT abderrahmaneelhachimi boundedweaksolutionstononlinearellipticequations AT jaouadigbida boundedweaksolutionstononlinearellipticequations |