2002-Fez conference on Partial Differental Equations,
Electron. J. Diff. Eqns., Conf. 09, 2002, pp. 9-24.

Pseudo-monotonicity and degenerate elliptic operators of second order

Youssef Akdim & Elhoussine Azroul

Abstract:
Extending the theory of pseudo-monotone mappings in weighted Sobolev spaces, we prove some existence results for degenerate or singular elliptic equations generated by the second-order differential operator
$$ Au(x)=-\mathop{\rm div}a(x,u,\nabla u))+a_0(x,u,\nabla u), $$
(in particular, when only large monotonicity is satisfied)

Published December 28, 2002.
Subject classfications: 35J25, 35J70.
Key words: Weighted Sobolev spaces, pseudo-monotonicity, nonlinear degenerate elliptic operators.

Show me the PDF file (237K), TEX file, and other files for this article.

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

Return to the table of contents for this conference.
Return to the Electronic Journal of Differential Equations