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Comptes Rendus Mathématique
Volume 347, n° 19-20
pages 1165-1168 (octobre 2009)
Doi : 10.1016/j.crma.2009.09.009
Received : 23 December 2008 ;  accepted : 1 September 2009
Alexandroff–Bakelman–Pucci estimate for singular or degenerate fully nonlinear elliptic equations
Inégalité d’Alexandroff–Bakelman–Pucci pour des équations elliptiques entièrement non linéaires singulières ou dégénérés
 

Gonzalo Dávila a, 1 , Patricio Felmer a, 2 , Alexander Quaas b, 3
a Departamento de Ingeniería Matemática and Centro de Modelamiento Matemático, UMR2071 CNRS-UChile, Universidad de Chile, Santiago, Chile 
b Departamento de Matemática, Universidad Técnica Federico Santa María, Av. Espana 1680, V-110 Valparaiso, Chile 

Abstract

We prove the classical Alexandroff–Bakelman–Pucci estimate for fully nonlinear elliptic equations involving singular or degenerate operators having as models  , where   are the Pucci extremal operators with parameters   and  . To cite this article: G. Dávila et al., C. R. Acad. Sci. Paris, Ser. I 347 (2009).

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

Nous prouvons l’inégalité classique d’Alexandroff–Bakelman–Pucci pour des équations elliptiques entièrement non linéaires avec des opérateurs singulières ou dégénérés ayant comme modèles   où   sont les opérateurs extremal de Pucci avec des paramètres   et  . Pour citer cet article : G. Dávila et al., C. R. Acad. Sci. Paris, Ser. I 347 (2009).

The full text of this article is available in PDF format.
1  Partially supported by Fondecyt 1070314.
2  Partially supported by Fondecyt 1070314, FONDAP and BASAL-CMM projects.
3  Supported by Fondecyt 1070264 y Proyecto Interno USM 12.08.22.


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