Maximum principle for elliptic operators and applications

Rabah Tahraoui

doi:10.1016/s0294-1449(02)00103-8

JournalsaihpcVol. 19, No. 6pp. 815–870

Maximum principle for 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

Let $f$ be a signed function defined on some bounded domain $Ω$ . We give sufficient conditions ensuring the positivity of $u$ , solution of the following equation:

- Δ u = f in Ω, u ∣_{\partial Ω} = 0.

Résumé

Soit une fonction $f$ de signe non constant sur un domaine borné $Ω$ . On donne des conditions suffisantes assurant la stricte positivité de la solution de l’équation :

- Δ u = f in Ω, u ∣_{\partial Ω} = 0.

Cite this article

Rabah Tahraoui, Maximum principle for elliptic operators and applications. Ann. Inst. H. Poincaré Anal. Non Linéaire 19 (2002), no. 6, pp. 815–870

DOI 10.1016/S0294-1449(02)00103-8