Electronic Journal of Differential Equations,
Vol. 2010(2010), No. 156, pp. 1-8.
Title: Properties of the first eigenvalue of a model for
non Newtonian fluids
Authors: Omar Chakrone (Univ. Mohammed I, Oujda, Maroc)
Okacha Diyer (Univ. Mohammed I, Oujda, Maroc)
Driss Sbibih (Univ. Mohammed I, Oujda, Maroc)
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.