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Comptes Rendus Mathématique
Volume 335, n° 4
pages 341-344 (2002)
Doi : S1631-073X(02)02475-5
Received : 25 Mars 2002 ;  accepted : 15 May 2002
Méthode des sur et sous solutions pour la résolution d'un problème de type Neuman faisant intervenir le p-Laplacien
Super- and sub-solutions method for the existence of a solution to a Neuman problem involving the p -Laplacian
 

Mélissa Motron
Université de Cergy-Pontoise, Département de mathématiques, site de Saint-Martin, 2, avenue Adolphe Chauvin, 95302 Cergy-Pontoise cedex, France 

Note présentée par Philippe G. Ciarlet

Résumé

Soient Ω un domaine borné, régulier de RN (NN) et p un réel dans ]1 ;N [. On présente ici une méthode pour prouver l'existence d'une solution à un problème de type Neuman faisant intervenir le p -Laplacien. Celle-ci permet de construire une solution de l'équation concernée à partir d'une sur et d'une sous solution du problème. Pour citer cet article : M. Motron, C. R. Acad. Sci. Paris, Ser. I 335 (2002) 341-344.

The full text of this article is available in PDF format.
Abstract

Let Ω be a smooth bounded domain in RN (NN) and p be a real in ]1;N [. We present here a method for proving the existence of a solution to a Neuman problem involving the p -Laplacian. This one enables us to build a solution from a super- and a sub-solution to the problem. To cite this article: M. Motron, C. R. Acad. Sci. Paris, Ser. I 335 (2002) 341-344.

The full text of this article is available in PDF format.


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