Article ID Journal Published Year Pages File Type
4604719 Annales de l'Institut Henri Poincare (C) Non Linear Analysis 2009 25 Pages PDF
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
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