On strong solutions of the differential equations modeling the steady flow of certain incompressible generalized Newtonian fluids

In this paper we discuss a system of partial differential equations describing the steady flow of an incompressible fluid and prove the existence of a strong solution under suitable assumptions on the data. In the 2D-case this solution turns out to be of class C^{1,\alpha}.

Variational integrals with a wide range of anisotropy