Existence of solutions of degenerated unilateral problems with ${L}^{1}$ data
Annales mathématiques Blaise Pascal, Volume 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 $F\in {\Pi }_{i=1}^{N}{L}^{{p}^{\prime }}\left(\Omega ,{w}_{i}^{1-{p}^{\prime }}\right)$.

DOI: 10.5802/ambp.185
Aharouch, Lahsen 1; Akdim, Youssef 1

1 Faculté des Sciences Dhar-Mahraz Dép. de Math. et Informatique B.P 1796 Atlas Fès. Fès MAROC
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Aharouch, Lahsen; Akdim, Youssef. 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. http://archive.numdam.org/articles/10.5802/ambp.185/

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