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Issue ESAIM: Proc.
Volume 20, 2007
RFMAO 05 - Rencontres Franco-Marocaines en Approximation et Optimisation 2005
Page(s) 105 - 117
DOI http://dx.doi.org/10.1051/proc:072010
Published online 13 October 2007

ESAIM: Proc., 2007, Vol. 20, pp. 105-117
DOI: 10.1051/proc:072010

Etude d'une classe de systèmes elliptiques quasilinéaires dérivant d'un potentiel dans $\Bbb{R}^{N}$

Djellit Ali and Tas Saadia

Département de Mathématiques, Université Badji-Mokhtar. B.P. 23, Annaba 23.000. Algérie

a_djellit@hotmail.com

(Published online: 13 October 2007)

Abstract
we study quasilinear elliptic systems, the nonlinearities on the right hand side are the gradient of a C1-functional. The solutions of these systems are the critical points of the associated energy functional, the properties of this functional are intimitly connected with the growth conditions of the nonlinearities.


Résumé
nous étudions des systèmes elliptiques quasilinéaires, les non linéarités à droite sont le gradient d'une fonctionnelle de classe C1. Les solutions de ces systèmes sont les points critiques de la fonctionnelle d'énergie correspondante dont la géométrie est étroitement liée aux conditions de croissance des nonlinéarités.



© EDP Sciences, ESAIM 2007


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