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Existence of Solutions for the Critical Elliptic System with Inverse Square Potentials
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作者 Zhao-xia LIU Zhao-hui LIU 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2013年第2期315-328,共14页
Let Ω∈← 0 be an open bounded domain in RN (N 〉 3) and 2*(s) = 2(N-8) =2(N-s)N-22. We consider the following elliptic system of two equations in where A, μ 〉 0 and α, β 〉 1 satisfy α + β = 2*(s... Let Ω∈← 0 be an open bounded domain in RN (N 〉 3) and 2*(s) = 2(N-8) =2(N-s)N-22. We consider the following elliptic system of two equations in where A, μ 〉 0 and α, β 〉 1 satisfy α + β = 2*(s). Using the Moser iteration, we prove the asymptotic behavior of solutions at the origin. In addition, by exploiting the Mountain-Pass theorem, we establish the existence of solutions. 展开更多
关键词 elliptic system variational functional Palais-Smale condition critical point
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