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

Aharouch, Lahsen, and Akdim, Youssef. "Existence of solutions of degenerated unilateral problems with $L^1$ data." Annales mathématiques Blaise Pascal 11.1 (2004): 47-66. <http://eudml.org/doc/10499>.

@article{Aharouch2004,
abstract = {In this paper, we shall be concerned with the existence result of the Degenerated unilateral problem associated to the equation of the type $Au + g(x, u, \nabla u) = f - \{\rm div \}F,$ 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, $f\in L^1(\Omega )$ and $ F\in \Pi _\{i=1\}^N L^\{p^\{\prime\}\}(\Omega , w_i^\{1-p^\{\prime\}\})$.},
affiliation = {Faculté des Sciences Dhar-Mahraz Dép. de Math. et Informatique B.P 1796 Atlas Fès. Fès MAROC; Faculté des Sciences Dhar-Mahraz Dép. de Math. et Informatique B.P 1796 Atlas Fès. Fès MAROC},
author = {Aharouch, Lahsen, Akdim, Youssef},
journal = {Annales mathématiques Blaise Pascal},
language = {eng},
month = {1},
number = {1},
pages = {47-66},
publisher = {Annales mathématiques Blaise Pascal},
title = {Existence of solutions of degenerated unilateral problems with $L^1$ data},
url = {http://eudml.org/doc/10499},
volume = {11},
year = {2004},
}

TY - JOUR
AU - Aharouch, Lahsen
AU - Akdim, Youssef
TI - Existence of solutions of degenerated unilateral problems with $L^1$ data
JO - Annales mathématiques Blaise Pascal
DA - 2004/1//
PB - Annales mathématiques Blaise Pascal
VL - 11
IS - 1
SP - 47
EP - 66
AB - In this paper, we shall be concerned with the existence result of the Degenerated unilateral problem associated to the equation of the type $Au + g(x, u, \nabla u) = f - {\rm div }F,$ 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, $f\in L^1(\Omega )$ and $ F\in \Pi _{i=1}^N L^{p^{\prime}}(\Omega , w_i^{1-p^{\prime}})$.
LA - eng
UR - http://eudml.org/doc/10499
ER -