Article ID Journal Published Year Pages File Type
840427 Nonlinear Analysis: Theory, Methods & Applications 2012 14 Pages PDF
Abstract

In the present paper, we consider the following critical growth quasilinear elliptic system {−Δpui=1p∗DuiF(u)+λi|ui|q−2uiin Ω,i=1,…,k,ui=0on ∂Ω,i=1,…,k. By exploiting the Nehari manifold and variational methods, we obtain the existence and multiplicity results of nontrivial solutions for the system.

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