Comparison principle for second order elliptic operators and applications
Rabah Tahraoui
CEREMADE, Université Paris 9, Dauphine, UMR 7534, place du Maréchal de Lattre de Tassigny, 75775 Paris cedex 16, France; I.U.F.M. Rouen 2, rue du Tronquet, 76131 Mont-St-Aignan, France
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Abstract
Given two elliptic operators and , let us consider the following problems:
In this work, we give some sufficient conditions ensuring the following comparison principle:
As application, we study the behaviour, as , of the solution of the problem
Résumé
Etant donnés deux opérateurs
Dans ce travail, on se propose de donner des conditions suffisantes portant sur , permettant de comparer les deux solutions et :
Comme application, nous étudions le comportement asymptotique, quand , de la solution du problème suivant :
Cite this article
Rabah Tahraoui, Comparison principle for second order elliptic operators and applications. Ann. Inst. H. Poincaré Anal. Non Linéaire 23 (2006), no. 2, pp. 159–183
DOI 10.1016/J.ANIHPC.2005.02.005