Electron. J. Diff. Equ., Vol. 2010(2010), No. 156, pp. 1-8.

Properties of the first eigenvalue of a model for non Newtonian fluids

Omar Chakrone, Okacha Diyer, Driss Sbibih

Abstract:
We consider a nonlinear Stokes problem on a bounded domain. We prove the existence of the first eigenvalue which is given by a minimization formula. Some properties such as strict monotony and the Fredholm alternative are established.

Submitted May 6, 2010. Published October 28, 2010.
Math Subject Classifications: 74S05, 76T10.
Key Words: k-Laplacian; eigenvalue; minimization.

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Omar Chakrone
Université Mohammed I, Faculté des sciences
Laboratoire LANOL, Oujda, Maroc
email: chakrone@yahoo.fr
Okacha Diyer
Université Mohammed I
Ecole Supérieure de Technologie
Laboratoire MATSI, Oujda, Maroc
email: odiyer@yahoo.fr
Driss Sbibih
Université Mohammed I
Ecole Supérieure de Technologie
Laboratoire MATSI, Oujda, Maroc
email: sbibih@yahoo.fr

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