Highly Influential

3 Excerpts

- Published 2011

We establish the existence of a nontrivial solution of system: −∆pu = λ a(x)u|u|p−2 + λ′c(x)u|u|α−1|v|β+1 + f in Ω −∆qv = μ b(x)v|v|q−2 + λ′c(x)|u|α+1v|v|β−1 + g in Ω (u, v) ∈W 1,p 0 (Ω)×W 1,q 0 (Ω) under some restrictions on λ, μ, λ′, α, β, f and g. We show this result by a local minimization.

@inproceedings{Afrouzi2011OnPS,
title={On Positive Solution for a Class of Nonlinear Elliptic Systems with Indefinite Weights},
author={G. A. Afrouzi and Somayeh Khademloo and M. Mirzapour},
year={2011}
}