刊名:Journal of Mathematical Analysis and Applications
出版年:2017
出版时间:1 February 2017
年:2017
卷:446
期:1
页码:681-706
全文大小:455 K
文摘
Consider the following non-local critical system
abel">equation(0.1)
where 914" title="Click to view the MathML source">(−Δ)s is fractional Laplacian, 8bdce37d5a774f8e6130790" title="Click to view the MathML source">0<s<1 and all e7c611f94e2" title="Click to view the MathML source">λ1,λ2,μ1,μ2,γ>0, 8e8a4269f2f1444426c8ac06fdeac3f"> is a fractional Sobolev critical exponent, 8e05d6e2" title="Click to view the MathML source">N>2s, α,β>1, α+β=2⁎, and Ω is an open bounded domain in RN with Lipschitz boundary. Under proper conditions, we establish the existence result of the ground state solution to system (0.1).