Existence of solutions of degenerated unilateral problems with ${L}^{1}$ data
Annales Mathématiques Blaise Pascal, Tome 11 (2004) no. 1, pp. 47-66.

In this paper, we shall be concerned with the existence result of the Degenerated unilateral problem associated to the equation of the type $Au+g\left(x,u,\nabla u\right)=f-\mathrm{div}F,$ 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, $f\in {L}^{1}\left(\Omega \right)$ and $F\in {\Pi }_{i=1}^{N}{L}^{{p}^{\prime }}\left(\Omega ,{w}_{i}^{1-{p}^{\prime }}\right)$.

@article{AMBP_2004__11_1_47_0,
author = {Aharouch, Lahsen and Akdim, Youssef},
title = {Existence of solutions of degenerated unilateral problems with $L^1$ data},
journal = {Annales Math\'ematiques Blaise Pascal},
pages = {47--66},
publisher = {Annales math\'ematiques Blaise Pascal},
volume = {11},
number = {1},
year = {2004},
doi = {10.5802/ambp.185},
mrnumber = {2077238},
zbl = {02207858},
language = {en},
url = {http://www.numdam.org/item/AMBP_2004__11_1_47_0/}
}
Aharouch, Lahsen; Akdim, Youssef. Existence of solutions of degenerated unilateral problems with $L^1$ data. Annales Mathématiques Blaise Pascal, Tome 11 (2004) no. 1, pp. 47-66. doi : 10.5802/ambp.185. http://www.numdam.org/item/AMBP_2004__11_1_47_0/

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