Problèmes de Neumann non linéaires sur les variétés riemanniennes |
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Authors: | Pascal Cherrier |
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Institution: | Département de Mathématiques, C.S.P., Université de Paris-Nord, 93430 Villetaneuse, France |
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Abstract: | Nonlinear Neumann problems on riemannian manifolds. Let () be a C∞ compact riemannian manifold of dimension n ? 2 whose boundary B is an (n ? 1)-dimensional submanifold and let be the interior of . Study of Neumann problems of the form: , where, for every are bounded by . Application to the determination of a conformal metric for which the scalar curvature of M and the mean curvature of B take prescribed values. |
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