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Theoretical and Numerical Analysis of a Class of Nonlinear Elliptic Equations

Nour Eddine Alaa 1 Jean Rodolphe Roche 1
1 CALVI - Scientific computation and visualization
IRMA - Institut de Recherche Mathématique Avancée, LSIIT - Laboratoire des Sciences de l'Image, de l'Informatique et de la Télédétection, Inria Nancy - Grand Est, IECL - Institut Élie Cartan de Lorraine
Abstract : In this paper we show the existence of weak solutions for a nonlinear elliptic equations with arbitrary growth of the non linearity and data measure. A numerical algorithm to compute a numerical approximation of the weak solution is discribed and analysed. In a first step a super-solution is computed using a domain decomposition method. Numerical examples are presented and commented.
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https://hal.inria.fr/inria-00070728
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Submitted on : Friday, May 19, 2006 - 9:25:14 PM
Last modification on : Friday, February 4, 2022 - 3:29:50 AM
Long-term archiving on: : Sunday, April 4, 2010 - 9:48:03 PM

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  • HAL Id : inria-00070728, version 1

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Nour Eddine Alaa, Jean Rodolphe Roche. Theoretical and Numerical Analysis of a Class of Nonlinear Elliptic Equations. [Research Report] RR-5270, INRIA. 2004, pp.20. ⟨inria-00070728⟩

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