Existence of Solution for Quasilinear Degenerated Elliptic Unilateral Problems

Akdim, Youssef; Azroul, Elhoussine; Benkirane, Abdelmoujib

Akdim, Youssef ; Azroul, Elhoussine ; Benkirane, Abdelmoujib

Annales mathématiques Blaise Pascal, Tome 10 (2003), p. 1-20 / Harvested from Numdam

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Résumé

An existence theorem is proved, for a quasilinear degenerated elliptic inequality involving nonlinear operators of the form $A u + g (x, u, \nabla u)$ , 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 $W^{- 1, p^{'}} (Ω, w^{*})$ .

Publié le : 2003-01-01

MR 1990009 | Zbl 02068409 | 1 citation dans Numdam

DOI : https://doi.org/10.5802/ambp.166

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     author = {Akdim, Youssef and Azroul, Elhoussine and Benkirane, Abdelmoujib},
     title = {Existence of Solution for Quasilinear Degenerated Elliptic Unilateral Problems},
     journal = {Annales math\'ematiques Blaise Pascal},
     volume = {10},
     year = {2003},
     pages = {1-20},
     doi = {10.5802/ambp.166},
     zbl = {02068409},
     mrnumber = {1990009},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AMBP_2003__10_1_1_0}
}

Akdim, Youssef; Azroul, Elhoussine; Benkirane, Abdelmoujib. Existence of Solution for Quasilinear Degenerated Elliptic Unilateral Problems. Annales mathématiques Blaise Pascal, Tome 10 (2003) pp. 1-20. doi : 10.5802/ambp.166. http://gdmltest.u-ga.fr/item/AMBP_2003__10_1_1_0/

Bibliographie

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