Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4604719 | Annales de l'Institut Henri Poincare (C) Non Linear Analysis | 2009 | 25 Pages |
Abstract
We study the existence, uniqueness and boundary profile of nonnegative boundary blow-up solution to the cooperative system{Δu=g(u−v)in Ω,Δv=f(v−βu)in Ω,u=v=∞on ∂Ω in a smooth bounded domain of RNRN, where f, g are nondecreasing, nonnegative C1C1 functions vanishing in (−∞,0](−∞,0] and β>0β>0 is a parameter.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Juan Dávila, Louis Dupaigne, Olivier Goubet, Salomé Martínez,