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Theoretical and Numerical Analysis of a Class of Nonlinear Elliptic Equations |
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| Authors: | Nour Eddine Alaa Jean Rodolphe Roche |
| Institution: | (1) Département de Mathématiques et Informatique, Université des Sciences et Techniques Cadi Ayyad, B.P. 618, Guéliz, Marrakech, Maroc;(2) I.E.C.N., Université Henri Poincaré, B.P. 239, 54506 Vandoeuvre l‘es Nancy, France |
| Abstract: | In this paper we show the existence of weak solutions for a nonlinear elliptic equation with arbitrary growth of the non linearity and data measure. A numerical algorithm to compute a numerical approximation of the weak solution is described and analyzed. In a first step a super-solution is computed using a domain decomposition method. Numerical examples are presented and commented. This work was supported by the French Grant “Action Intégrée MA/02/33”. |
| Keywords: | Primary 35J65 Secondary 65N55 |
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