Y. Akdim, E. Azroul, & A. Benkirane
Abstract:
In this paper, we study the existence of solutions for quasilinear
degenerate elliptic equations of the form
,
where
is a Leray-Lions operator from
to its dual. On the nonlinear term
,
we assume growth conditions on
,
not on
,
and a sign condition on
.
Submitted October 16, 2001. Published November 26, 2001.
Math Subject Classifications: 35J15, 35J20, 35J70.
Key Words: Weighted Sobolev spaces, Hardy inequality,
Quasilinear degenerate elliptic operators.
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Y. Akdim Departement de Mathematiques et Informatique, Faculte des Sciences Dhar-Mahraz, B.P. 1796 Atlas, Fes, Maroc. e-mail: y.akdim1@caramail.com |
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E. Azroul Departement de Mathematiques et Informatique, Faculte des Sciences Dhar-Mahraz, B.P. 1796 Atlas, Fes, Maroc. e-mail: elazroul@caramail.com |
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A. 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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