Youssef Akdim, Elhoussine Azroul & Abdelmoujib Benkirane
Abstract:
We prove an existence theorem for a strongly nonlinear
degenerated elliptic inequalities involving nonlinear
operators of the form
.
Here
is a Leray-Lions operator,
is a
lower order term satisfying some natural growth with respect
to
.
There is no growth restrictions with respect to
, only a sign condition. Under the assumption that the
second term belongs to
, we obtain
the main result via strong convergence of truncations.
Published December 28, 2002.
Subject classfications: 35J15, 35J70, 35J85.
Key words: Weighted Sobolev spaces, Hardy inequality,
variational ineqality, strongly nonlinear
degenerated elliptic operators, truncations.
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Youssef Akdim Departement de Mathematiques et Informatique, Faculte des Sciences Dhar-Mahraz, B.P. 1796 Atlas, Fes, Maroc. e-mail: y.akdim1@caramail.com | |
Elhoussine Azroul Departement de Mathematiques et Informatique, Faculte des Sciences Dhar-Mahraz, B.P. 1796 Atlas, Fes, Maroc. e-mail: elazroul@caramail.com | |
Abdelmoujib Benkirane Departement de Mathematiques et Informatique, Faculte des Sciences Dhar-Mahraz, B.P. 1796 Atlas, Fes, Maroc. e-mail: abdelmoujib@iam.net.ma |
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