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Licensed Unlicensed Requires Authentication Published by De Gruyter February 12, 2007

The existence of regular boundary points for non-linear elliptic systems

To the memory of Sergio Campanato

  • Frank Duzaar EMAIL logo , Jan Kristensen and Giuseppe Mingione

Abstract

We consider non-linear elliptic systems of the type

with Hölder continuous dependence on (x, u), and give conditions guaranteeing that almost every boundary point is a regular point for the gradient of solutions to related Dirichlet problems. We also introduce a new comparison technique, in order to deal with difference quotients.

Received: 2005-03-09
Published Online: 2007-02-12
Published in Print: 2007-01-29

© Walter de Gruyter

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