An Elementary Partial Regularity Proof for Vector-Valued Obstacle Problems.
We prove the existence of a partially regular solution for a system of degenerate variational inequalities with natural growth.
We prove the existence of solutions to systems of degenerate variational inequalities.
We extend a regularity theorem of Hildebrandt and Widman [3] to certain degenerate systems of variational inequalities and prove Hölder-continuity of solutions which are in some sense stationary.
On the complement of the unit disk we consider solutions of the equations describing the stationary flow of an incompressible fluid with shear dependent viscosity. We show that the velocity field is equal to zero provided and uniformly. For slow flows the latter condition can be replaced by uniformly. In particular, these results hold for the classical Navier-Stokes case.
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