Two Types of Solutions to a Class of (p,q)-Laplacian Systems with Critical Sobolev Exponents in RN

We focus on the following elliptic system with critical Sobolev exponents:  -div⁡∇up-2∇u+m(x)up-2u=λup⁎-2u+(1/η)Gu(u,v),  x∈RN; -div⁡∇vq-2∇v+n(x)vq-2v=μvq⁎-2v+(1/η)Gv(u,v),  x∈RN; u(x)>0,v(x)>0,  x∈RN, where μ,λ>0,1<p≤q<N, either η∈(1,p) or η∈(q,p⁎), and critical Sobolev exponents p⁎=...

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Bibliographic Details
Main Authors: Jing Li, Caisheng Chen
Format: Article
Language:English
Published: Hindawi Limited 2018-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2018/6458395