C1,α-regularity for electrorheological fluids in two dimensions



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 


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

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