%0 Journal Article
%T A non-resonance problem for non-Newtonian fluids
%A Omar Chakrone
%A Okacha Diyer
%A Driss Sbibih
%J Electronic Journal of Differential Equations
%D 2012
%I Texas State University
%X 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.
%K Non-Newtonian fluid
%K k-Laplacian operator
%K eigenvalues
%K variational method
%U http://ejde.math.txstate.edu/Volumes/2012/37/abstr.html