Electron. J. Diff. Equ., Vol. 2011 (2011), No. 82, pp. 1-13.

Maximum principle and existence results for nonlinear cooperative systems on a bounded domain

Liamidi Leadi, Aboubacar Marcos

Abstract:
In this work we give necessary and sufficient conditions for having a maximum principle for cooperative elliptic systems involving p-Laplacian operator on a bounded domain. This principle is then used to yield solvability for the considered cooperative elliptic systems by an approximation method.

Submitted November 11, 2010. Published June 24, 2011.
Math Subject Classifications: 35B50, 35J57, 35J60
Key Words: Maximum Principle; elliptic systems; p-Laplacian operator; sub-super solutions; approximation method.

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Liamidi Leadi
Institut de Mathématiques et de Sciences Physiques
Université d'Abomey Calavi
01 BP: 613 Porto-Novo, Bénin (West Africa)
email: leadiare@imsp-uac.org, leadiare@yahoo.com
Aboubacar Marcos
Institut de Mathématiques et de Sciences Physiques
Université d'Abomey Calavi
01 BP: 613 Porto-Novo, Bénin (West Africa)
email: abmarcos@imsp-uac.org

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