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manuscripta mathematica

, Volume 95, Issue 1, pp 11–31 | Cite as

A new partial regularity proof for solutions of nonlinear elliptic systems

  • Christoph Hamburger
Article

Abstract

We prove partial regularity for weak solutionsu of the fully nonlinear elliptic system divA (x, u, Du) +B (x, u, Du)=0, whereA andB have natural polynomial growth, and whereB satisfies a two-sided or a one-sided condition. We do not employ a reverse Hölder inequality.

Keywords

Weak Solution Bilinear Form Elliptic System Manuscripta Math Partial Regularity 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1998

Authors and Affiliations

  • Christoph Hamburger
    • 1
  1. 1.BonnGermany

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