Scalar curvature type problem on the three dimensional bounded domain |
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| Authors: | Mohamed BEN AYED Habib FOURTI |
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| Institution: | Faculté des Sciences, Université de Sfax, Route Soukra, Sfax, Tunisie;Institut Préparatoire Aux Etudes d''Ingénieurs, Université de Sfax, Sfax, Tunisie |
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| Abstract: | In this paper we prove an existence result for the nonlinear elliptic problem: Δu = K u5, u > 0 in Ω, u = 0 on ?Ω, where Ω is a smooth bounded domain of ?3 and K is a positive function in Ω¯. Our method relies on studying its corresponding subcritical approximation problem and then using a topological argument. |
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| Keywords: | scalar-curvature critical point limiting Sobolev exponent variational problems with lack of compactness blow up analysis 35J20 35J60 |
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