Multiple Solutions for a Singular Quasilinear Elliptic System

We consider the multiplicity of nontrivial solutions of the following quasilinear elliptic system −div(|x|−ap|∇u|p−2∇u) + f 1(x)|u|p−2 u = (α/(α + β))g(x)|u|α−2 u|v|β + λh 1(x)|u|γ−2 u + l 1(x), −div(|x|−ap|∇v|p−2∇v) + f 2(x)|v|p−2 v = (β/(α + β))g(x)|v|β−2 v|u|α + μh 2(x)|v|γ−2 v + l 2(x), u(x) >...

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Bibliographic Details
Main Authors: Chen, Lin, Chen, Caisheng, Xiu, Zonghu
Format: Online
Language:English
Published: Hindawi Publishing Corporation 2013
Online Access:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3824403/