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

Jing Li and Caisheng Chen

Advances in Mathematical Physics, 2018, vol. 2018, issue 1

Abstract: 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)>00,v(x)>, x∈RN, where μ, λ > 0,1

Date: 2018
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https://doi.org/10.1155/2018/6458395

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