2005-Oujda International Conference on Nonlinear Analysis, Oujda, Morocco.
Electron. J. Diff. Eqns., Conference 14 (2006), pp. 53-71.

Higher order nonlinear degenerate elliptic problems with weak monotonicity

Youssef Akdim, Elhoussine Azroul, Mohamed Rhoudaf

Abstract:
We prove the existence of solutions for nonlinear degenerate elliptic boundary-value problems of higher order. Solutions are obtained using pseudo-monotonicity theory in a suitable weighted Sobolev space.

Published September 20, 2006.
Math Subject Classifications: 35J40, 35J70.
Key Words: Weighted Sobolev spaces; pseudo-monotonicity; nonlinear degenerate elliptic operators; boundary value problems.

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Youssef Akdim
Département de Mathématiques et Informatique
Faculté des Sciences Dhar-Mahraz
B. P. 1796 Atlas Fès, Maroc
email: akdimyoussef@yahoo.fr
Elhoussine Azroul
Département de Mathématiques et Informatique
Faculté des Sciences Dhar-Mahraz
B. P. 1796 Atlas Fès, Maroc
email:azroul_elhoussine@yahoo.fr
Mohamed Rhoudaf
Département de Mathématiques et Informatique
Faculté des Sciences Dhar-Mahraz
B. P. 1796 Atlas Fès, Maroc
email: rhoudaf_mohamed@yahoo.fr

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