Article ID Journal Published Year Pages File Type
4664194 Acta Mathematica Scientia 2010 11 Pages PDF
Abstract

The authors study the existence of solutions for the nonlinear elliptic system {-Mλ,Λ+(D2u)=f(u,υ)inΩ,-Mλ,Λ+(D2υ)=g(u,υ)inΩ,u≥0,υ≥0inΩ,u=0,υ=0on∂Ω,where ω is a bounded convex domain in ℝN, N ≥ 2. It is shown that under some assumptions on f and g, the problem has at least one positive solution (u, v).

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)
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