Geodesic
Maximum principle and existence results for nonlinear cooperative systems on a bounded domain
Electronic journal of differential equations, Tome 2011 (2011)
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.
Classification : 35B50, 35J57, 35J60
Keywords: maximum principle, elliptic systems, p-Laplacian operator, sub-super solutions, approximation method 
@article{EJDE_2011__2011__a64,
     author = {Leadi,  Liamidi and Marcos,  Aboubacar},
     title = {Maximum principle and existence results for nonlinear cooperative systems on a bounded domain},
     journal = {Electronic journal of differential equations},
     year = {2011},
     volume = {2011},
     zbl = {1227.35106},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a64/}
}
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%A Marcos,  Aboubacar
%T Maximum principle and existence results for nonlinear cooperative systems on a bounded domain
%J Electronic journal of differential equations
%D 2011
%V 2011
%U http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a64/
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%F EJDE_2011__2011__a64
Leadi,  Liamidi; Marcos,  Aboubacar. Maximum principle and existence results for nonlinear cooperative systems on a bounded domain. Electronic journal of differential equations, Tome 2011 (2011). http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a64/