Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
840427 | Nonlinear Analysis: Theory, Methods & Applications | 2012 | 14 Pages |
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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Authors
Dengfeng Lü,