C1,α-regularity for electrorheological fluids in two dimensions

Article

Abstract.

We prove the existence of \(C^{1,\alpha}_{\rm loc}\)-solutions to a system of nonlinear partial differential equations describing steady planar motions of electrorheological fluids with Dirichlet boundary conditions for inf \(p > \frac{6}{5}\).

2000 Mathematics Subject Classification:

35J60 76D03 76A05 46E30 

Keywords:

Electrorheological fluids existence and regularity of solutions non-standard growth 

Copyright information

© Birkhäuser Verlag, Basel 2007

Authors and Affiliations

  1. 1.Mathematical InstituteUniversity of FreiburgFreiburgGermany

Personalised recommendations