Annales Mathématiques
Blaise Pascal
no. 1
Existence of Solution for Quasilinear Degenerated Elliptic Unilateral Problems
Youssef Akdim1 ; Elhoussine Azroul1 ; Abdelmoujib Benkirane1
1 Département de Mathématiques et Informatique Faculté des Sciences Dhar-Mahraz B.P 1796 Atlas Fès. MAROC
Annales mathématiques Blaise Pascal, Tome 10 (2003) no. 1, pp. 1-20.

An existence theorem is proved, for a quasilinear degenerated elliptic inequality involving nonlinear operators of the form Au+g(x,u,∇u), where A is a Leray-Lions operator from W 0 1,p (Ω,w) into its dual, while g(x,s,ξ) is a nonlinear term which has a growth condition with respect to ξ and no growth with respect to s, but it satisfies a sign condition on s, the second term belongs to W -1,p ′ (Ω,w * ).

DOI : 10.5802/ambp.166
Youssef Akdim 1 ; Elhoussine Azroul 1 ; Abdelmoujib Benkirane 1

1 Département de Mathématiques et Informatique Faculté des Sciences Dhar-Mahraz B.P 1796 Atlas Fès. MAROC 
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Youssef Akdim; Elhoussine Azroul; Abdelmoujib Benkirane. Existence of Solution for Quasilinear Degenerated Elliptic Unilateral Problems. Annales mathématiques Blaise Pascal, Tome 10 (2003) no. 1, pp. 1-20. doi : 10.5802/ambp.166. https://ambp.centre-mersenne.org/articles/10.5802/ambp.166/

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