Electronic Journal of Differential Equations,
Vol. 2012 (2012), No. 37, pp. 1-10.

Title: A non-resonance problem 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:
 In this article we study a highly nonlinear problem which describes
 a non-Newtonian fluid in a specific domain (symmetric channel).
 This fluid is subjected to pressure of known differences between two
 parallel plates. We establish the existence and uniqueness of a
 weak solution. Our solution method is based on a minimization technique
 when the nonlinearity is asymptotically on the left of the first eigenvalue
 of the operator k-Laplacian.	 

Submitted May 17, 2011. Published March 07, 2012.
Math Subject Classifications: 74S05, 76T10.
Key Words: Non-Newtonian fluid; k-Laplacian operator; eigenvalues;
           variational method.