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Solutions nodales sur les variétés Riemanniennes non localement conformément plates à bord

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Commentarii Mathematici Helvetici

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Abstract.

Dans cet article, on considère le problème de Dirichlet pour une EDP non linéaire avec une donnée au bord qui change de signe. L'existence d'une famille de solutions minimisantes est obtenue sur les variétés riemaniennes compactes non localement conformément plates à bord.¶¶This paper deals with solutions of Dirichlet problem for a nonlinear PDE with boundary data changing of sign. A family of minimizing nodal solutions are found on nonlocally conformally flat manifolds with boundary.

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Authors and Affiliations

  1. Université Pierre et Marie Curie, Paris VI, tour 46-00, case postale 247, 4 place Jussieu, F-75252 Paris cedex 05, France, e-mail: holcman@math.jussieu.fr, , , , , , FR

    D. Holcman

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  1. D. Holcman
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Received: February 29, 2000

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Holcman, D. Solutions nodales sur les variétés Riemanniennes non localement conformément plates à bord. Comment. Math. Helv. 76, 373–387 (2001). https://doi.org/10.1007/PL00013212

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  • DOI: https://doi.org/10.1007/PL00013212

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