Monotonicity and nonexistence results to cooperative systems in the half space
Journal
Journal of Functional Analysis
Journal Volume
266
Journal Issue
2
Pages
1088-1105
Date Issued
2014
Author(s)
Abstract
In this paper, we prove the monotonicity and nonexistence of positive bounded solutions to an elliptic system in the half space R+n:δu+f(u,v)=0δv+g(u,v)=0in R+n,u=v=0on ∂R+n, where fv≥0, gu≥0 and both f and g are convex functions. © 2013 Elsevier Inc.
Type
journal article