Electron. J. Diff. Equ., Vol. 2010(2010), No. 60, pp. 1-13.

Maximum principle and existence results for elliptic systems on R^N

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 the whole $\mathbb{R}^{N}$. This principle is then used to yield solvability for the cooperative elliptic systems by an approximation method.

Submitted June 5, 2009. Published May 5, 2010.
Math Subject Classifications: 35B50, 35J20, 35J55.
Key Words: Principal and nonprincipal eigenvalues; elliptic systems; p-Laplacian operator; 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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