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SCALAR CURVATURE TYPE PROBLEM ON THE THREE DIMENSIONAL BOUNDED DOMAIN

SCALAR CURVATURE TYPE PROBLEM ON THE THREE DIMENSIONAL BOUNDED DOMAIN
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摘要 In this paper we prove an existence result for the nonlinear elliptic problem:-△u = Ku5,u 〉 0 in Ω,u = 0 on Ω,where Ω is a smooth bounded domain of R3 and K is a positive function in Ω.Our method relies on studying its corresponding subcritical approximation problem and then using a topological argument. In this paper we prove an existence result for the nonlinear elliptic problem:-△u = Ku5,u 〉 0 in Ω,u = 0 on Ω,where Ω is a smooth bounded domain of R3 and K is a positive function in Ω.Our method relies on studying its corresponding subcritical approximation problem and then using a topological argument.
出处 《Acta Mathematica Scientia》 SCIE CSCD 2017年第1期139-173,共35页 数学物理学报(B辑英文版)
关键词 scalar-curvature critical point limiting Sobolev exponent variational prob-lems with lack of compactness blow up analysis scalar-curvature critical point limiting Sobolev exponent variational prob-lems with lack of compactness blow up analysis
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