Maximum principle and existence results for elliptic systems on R^N
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.
Main Authors: | , |
---|---|
Format: | Article |
Language: | English |
Published: |
Texas State University
2010-05-01
|
Series: | Electronic Journal of Differential Equations |
Subjects: | |
Online Access: | http://ejde.math.txstate.edu/Volumes/2010/60/abstr.html |
Summary: | 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. |
---|---|
ISSN: | 1072-6691 |