On the L-infinity regularity of solutions of nonlinear elliptic equations in Orlicz spaces
Our main result is a maximum principle bounding the absolute values of the solution in terms of the supremum of the absolute values of the boundary data.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2002-12-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/conf-proc/09/a1/abstr.html |
| _version_ | 1818753189354143744 |
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| author | Lahsen Aharouch Elhoussine Azroul Abdelmoujib Benkirane |
| author_facet | Lahsen Aharouch Elhoussine Azroul Abdelmoujib Benkirane |
| author_sort | Lahsen Aharouch |
| collection | DOAJ |
| description | Our main result is a maximum principle bounding the absolute values of the solution in terms of the supremum of the absolute values of the boundary data. |
| first_indexed | 2024-12-18T05:03:24Z |
| format | Article |
| id | doaj.art-95a7627e04fc4a1081e5bce5602cb6a5 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-18T05:03:24Z |
| publishDate | 2002-12-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-95a7627e04fc4a1081e5bce5602cb6a52022-12-21T21:20:05ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912002-12-01Conference0918On the L-infinity regularity of solutions of nonlinear elliptic equations in Orlicz spacesLahsen AharouchElhoussine AzroulAbdelmoujib BenkiraneOur main result is a maximum principle bounding the absolute values of the solution in terms of the supremum of the absolute values of the boundary data.http://ejde.math.txstate.edu/conf-proc/09/a1/abstr.htmlOrlicz Sobolev spacesboundary-value problems. |
| spellingShingle | Lahsen Aharouch Elhoussine Azroul Abdelmoujib Benkirane On the L-infinity regularity of solutions of nonlinear elliptic equations in Orlicz spaces Electronic Journal of Differential Equations Orlicz Sobolev spaces boundary-value problems. |
| title | On the L-infinity regularity of solutions of nonlinear elliptic equations in Orlicz spaces |
| title_full | On the L-infinity regularity of solutions of nonlinear elliptic equations in Orlicz spaces |
| title_fullStr | On the L-infinity regularity of solutions of nonlinear elliptic equations in Orlicz spaces |
| title_full_unstemmed | On the L-infinity regularity of solutions of nonlinear elliptic equations in Orlicz spaces |
| title_short | On the L-infinity regularity of solutions of nonlinear elliptic equations in Orlicz spaces |
| title_sort | on the l infinity regularity of solutions of nonlinear elliptic equations in orlicz spaces |
| topic | Orlicz Sobolev spaces boundary-value problems. |
| url | http://ejde.math.txstate.edu/conf-proc/09/a1/abstr.html |
| work_keys_str_mv | AT lahsenaharouch onthelinfinityregularityofsolutionsofnonlinearellipticequationsinorliczspaces AT elhoussineazroul onthelinfinityregularityofsolutionsofnonlinearellipticequationsinorliczspaces AT abdelmoujibbenkirane onthelinfinityregularityofsolutionsofnonlinearellipticequationsinorliczspaces |