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

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...

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Bibliographic Details
Main Authors: Liamidi Leadi, Aboubacar Marcos
Format: Article
Language:English
Published: Texas State University 2011-06-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2011/82/abstr.html
Description
Summary: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.
ISSN:1072-6691