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...
Main Authors: | , , , |
---|---|
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 |