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⁎=...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2018-01-01
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Series: | Advances in Mathematical Physics |
Online Access: | http://dx.doi.org/10.1155/2018/6458395 |