Entropy Solutions for Nonlinear Elliptic Anisotropic Homogeneous Neumann Problem
We prove the existence and uniqueness of entropy solution for nonlinear anisotropic elliptic equations with Neumann homogeneous boundary value condition for -data. We prove first, by using minimization techniques, the existence and uniqueness of weak solution when the data is bounded, and by approxi...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2013/476781 |
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| _version_ | 1850171983898083328 |
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| author | B. K. Bonzi S. Ouaro F. D. Y. Zongo |
| author_facet | B. K. Bonzi S. Ouaro F. D. Y. Zongo |
| author_sort | B. K. Bonzi |
| collection | DOAJ |
| description | We prove the existence and uniqueness of entropy solution for
nonlinear anisotropic elliptic equations with Neumann homogeneous
boundary value condition for -data. We prove first, by using
minimization techniques, the existence and uniqueness of weak
solution when the data is bounded, and by approximation methods, we
prove a result of existence and uniqueness of entropy
solution. |
| format | Article |
| id | doaj-art-a703c7267b4246cca06e479bc9e4cf52 |
| institution | OA Journals |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-a703c7267b4246cca06e479bc9e4cf522025-08-20T02:20:11ZengWileyInternational Journal of Differential Equations1687-96431687-96512013-01-01201310.1155/2013/476781476781Entropy Solutions for Nonlinear Elliptic Anisotropic Homogeneous Neumann ProblemB. K. Bonzi0S. Ouaro1F. D. Y. Zongo2Laboratoire d'Analyse Mathématique des Equations (LAME), UFR, Sciences Exactes et Appliquées, Université de Ouagadougou, 03 BP 7021 Ouaga 03, Ouagadougou, Burkina FasoLaboratoire d'Analyse Mathématique des Equations (LAME), UFR, Sciences Exactes et Appliquées, Université de Ouagadougou, 03 BP 7021 Ouaga 03, Ouagadougou, Burkina FasoLaboratoire d'Analyse Mathématique des Equations (LAME), UFR, Sciences Exactes et Appliquées, Université de Ouagadougou, 03 BP 7021 Ouaga 03, Ouagadougou, Burkina FasoWe prove the existence and uniqueness of entropy solution for nonlinear anisotropic elliptic equations with Neumann homogeneous boundary value condition for -data. We prove first, by using minimization techniques, the existence and uniqueness of weak solution when the data is bounded, and by approximation methods, we prove a result of existence and uniqueness of entropy solution.http://dx.doi.org/10.1155/2013/476781 |
| spellingShingle | B. K. Bonzi S. Ouaro F. D. Y. Zongo Entropy Solutions for Nonlinear Elliptic Anisotropic Homogeneous Neumann Problem International Journal of Differential Equations |
| title | Entropy Solutions for Nonlinear Elliptic Anisotropic Homogeneous Neumann Problem |
| title_full | Entropy Solutions for Nonlinear Elliptic Anisotropic Homogeneous Neumann Problem |
| title_fullStr | Entropy Solutions for Nonlinear Elliptic Anisotropic Homogeneous Neumann Problem |
| title_full_unstemmed | Entropy Solutions for Nonlinear Elliptic Anisotropic Homogeneous Neumann Problem |
| title_short | Entropy Solutions for Nonlinear Elliptic Anisotropic Homogeneous Neumann Problem |
| title_sort | entropy solutions for nonlinear elliptic anisotropic homogeneous neumann problem |
| url | http://dx.doi.org/10.1155/2013/476781 |
| work_keys_str_mv | AT bkbonzi entropysolutionsfornonlinearellipticanisotropichomogeneousneumannproblem AT souaro entropysolutionsfornonlinearellipticanisotropichomogeneousneumannproblem AT fdyzongo entropysolutionsfornonlinearellipticanisotropichomogeneousneumannproblem |