Positivity and negativity of solutions to nXn weighted systems involving the Laplace operator on R^N

We consider the sign of the solutions of a $n imes n$ system defined on the whole space $mathbb{R}^N$, $Ngeq 3$ and a weight function $ho$ with a positive part decreasing fast enough, $$ -Delta U = lambda ho(x) MU +F, $$ where $F$ is a vector of functions, $M$ is a $n imes n$ matrix with const...

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Bibliographic Details
Main Authors: Benedicte Alziary, Jacqueline Fleckinger, Marie-Helene Lecureux, Na Wei
Format: Article
Language:English
Published: Texas State University 2012-06-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2012/101/abstr.html