Acta mathematica scientia, Series B >
SCALAR CURVATURE TYPE PROBLEM ON THE THREE DIMENSIONAL BOUNDED DOMAIN
Received date: 2015-10-16
Revised date: 2016-04-18
Online published: 2017-02-25
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.
Mohamed BEN AYED , Habib FOURTI . SCALAR CURVATURE TYPE PROBLEM ON THE THREE DIMENSIONAL BOUNDED DOMAIN[J]. Acta mathematica scientia, Series B, 2017 , 37(1) : 139 -173 . DOI: 10.1016/S0252-9602(16)30122-9
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