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- W2083882783 abstract "Nonlinear Neumann problems on riemannian manifolds. Let ( M , g ) be a C ∞ compact riemannian manifold of dimension n ⩾ 2 whose boundary B is an ( n − 1)-dimensional submanifold and let M = M ⧹B be the interior of M . Study of Neumann problems of the form: Δφ +ƒ(φ, x) = 0 in M, ( dφ dn ) + g(φ, y) = 0 on B , where, for every (t, x, y) ϵ R × M × B, ¦ƒ(t, x)¦ and ¦g(t, y)¦ are bounded by C(1 + ¦t¦ a ) or C exp (¦t¦ a ) . Application to the determination of a conformal metric for which the scalar curvature of M and the mean curvature of B take prescribed values. Soit ( M , g ) une variété riemannienne compacte C ∞ de dimension n ⩾ 2, d'intérieur M , dont le bord B est une sous-variété de dimension n − 1. Étude de problèmes de Neumann du type: Δφ + ƒ(φ, x) = 0 dans M, ( dφ dn ) + g(φ, y) = 0 sur B , où, pour tout (t, x, y) ϵ R × M × B, ¦ƒ(t, x)¦ et ¦g(t, y)¦ sont majorés par C(1 + ¦t¦ a ) ou C exp (¦t¦ a ) . Application à la détermination d'une métrique conforme à g pour laquelle la courbure scalaire de M et la courbure moyenne de B prennent des valeurs prescrites." @default.
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- W2083882783 date "1984-06-01" @default.
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- W2083882783 title "Problèmes de Neumann non linéaires sur les variétés riemanniennes" @default.
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- W2083882783 doi "https://doi.org/10.1016/0022-1236(84)90094-6" @default.
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