Existence of solutions of degenerated unilateral problems with $L^1$ data

Lahsen Aharouch; Youssef Akdim

doi:10.5802/ambp.185

Existence of solutions of degenerated unilateral problems with

L^{1}

data

Lahsen Aharouch ¹; Youssef Akdim ¹

¹ Faculté des Sciences Dhar-Mahraz Dép. de Math. et Informatique B.P 1796 Atlas Fès. Fès MAROC

Annales mathématiques Blaise Pascal, Volume 11 (2004) no. 1, pp. 47-66.

Abstract
Résumé

In this paper, we shall be concerned with the existence result of the Degenerated unilateral problem associated to the equation of the type $A u + g (x, u, \nabla u) = f - div F,$ where $A$ is a Leray-Lions operator and $g$ is a Carathéodory function having natural growth with respect to $| \nabla u |$ and satisfying the sign condition. The second term is such that, $f \in L^{1} (Ω)$ and $F \in Π_{i = 1}^{N} L^{p^{'}} (Ω, w_{i}^{1 - p^{'}})$ .

MR: 2077238 | Zbl: 02207858

DOI: 10.5802/ambp.185

Author's affiliations:

Lahsen Aharouch ¹; Youssef Akdim ¹

¹ Faculté des Sciences Dhar-Mahraz Dép. de Math. et Informatique B.P 1796 Atlas Fès. Fès MAROC

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     publisher = {Annales math\'ematiques Blaise Pascal},
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Lahsen Aharouch; Youssef Akdim. Existence of solutions of degenerated unilateral problems with $L^1$ data. Annales mathématiques Blaise Pascal, Volume 11 (2004) no. 1, pp. 47-66. doi : 10.5802/ambp.185. https://ambp.centre-mersenne.org/articles/10.5802/ambp.185/

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