Elhoussine Azroul, Abdelmoujib Benkirane & Ouidad Filali
Abstract:
In this paper, we study the existence of solutions for strongly nonlinear
degenerated unilateral problems associated to nonlinear operators
of the form
.
Here
is a Leray-Lions operator
acting from
into its dual,
while
is a nonlinear term which has a growth condition
with respect to
and no growth condition with respect to
,
the second term belongs to
.
Published December 28, 2002.
Subject classfications: 35J15, 35J70, 35J85.
Key words: Weighted Sobolev spaces, Hardy inequality,
quasilinear degenerated elliptic operators.
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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 | |
Ouidad Filali Departement de Mathematiques et Informatique, Faculte des Sciences Dhar-Mahraz, B.P. 1796 Atlas, Fes, Maroc. e-mail: ouidadf@hotmail.com |
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