Existence results for quasilinear degenerated equations via strong convergence of truncations.

Akdim, Youssef, Azroul, Elhoussine, and Benkirane, Abdelmoujib. "Existence results for quasilinear degenerated equations via strong convergence of truncations.." Revista Matemática Complutense 17.2 (2004): 359-379. <http://eudml.org/doc/44523>.

@article{Akdim2004,
abstract = {In this paper we study the existence of solutions for quasilinear degenerated elliptic operators A(u) + g(x,u,∇u) = f, where A is a Leray-Lions operator from W01,p(Ω,ω) 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 right hand side f is assumed to belong either to W-1,p'(Ω,ω*) or to L1(Ω).},
author = {Akdim, Youssef, Azroul, Elhoussine, Benkirane, Abdelmoujib},
journal = {Revista Matemática Complutense},
keywords = {Ecuaciones diferenciales elípticas; Ecuaciones diferenciales cuasilineales; Teorema de existencia; Espacios de Sobolev; Desigualdad de Hardy; weighted Sobolev spaces, Hardy inequality, quasilinear degenerated elliptic operators, truncations},
language = {eng},
number = {2},
pages = {359-379},
title = {Existence results for quasilinear degenerated equations via strong convergence of truncations.},
url = {http://eudml.org/doc/44523},
volume = {17},
year = {2004},
}

TY - JOUR
AU - Akdim, Youssef
AU - Azroul, Elhoussine
AU - Benkirane, Abdelmoujib
TI - Existence results for quasilinear degenerated equations via strong convergence of truncations.
JO - Revista Matemática Complutense
PY - 2004
VL - 17
IS - 2
SP - 359
EP - 379
AB - In this paper we study the existence of solutions for quasilinear degenerated elliptic operators A(u) + g(x,u,∇u) = f, where A is a Leray-Lions operator from W01,p(Ω,ω) 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 right hand side f is assumed to belong either to W-1,p'(Ω,ω*) or to L1(Ω).
LA - eng
KW - Ecuaciones diferenciales elípticas; Ecuaciones diferenciales cuasilineales; Teorema de existencia; Espacios de Sobolev; Desigualdad de Hardy; weighted Sobolev spaces, Hardy inequality, quasilinear degenerated elliptic operators, truncations
UR - http://eudml.org/doc/44523
ER -