Nonlinear elliptic systems with Dini continuous coefficients

Duzaar F, Gastel A (2002)

Publication Type: Journal article

Publication year: 2002

Journal

Archiv der Mathematik Springer Verlag (Germany)

Publisher: Springer Verlag (Germany)

Book Volume: 78

Pages Range: 58-73

Journal Issue: 1

URI: http://www.springerlink.com/content/ubwra8e6wemxr1m5/fulltext.pdf

DOI: 10.1007/s00013-002-8217-1

Abstract

We consider nonlinear elliptic systems of divergence type with Dini continous coefficients and prove a partial regularity result for weak solutions. Our method of proof is based on a generalization of the technique of harmonic approximation. Our result is optimal in the sense that in the case of Hölder continous coefficients we establish the optimal Hölder exponent for the derivative of the weak solution on its regular set.

Authors with CRIS profile

Frank Duzaar Lehrstuhl für Partial Differential Equations

Involved external institutions

Heinrich-Heine-Universität Düsseldorf DE Germany (DE)

How to cite

APA:

Duzaar, F., & Gastel, A. (2002). Nonlinear elliptic systems with Dini continuous coefficients. Archiv der Mathematik, 78(1), 58-73. https://dx.doi.org/10.1007/s00013-002-8217-1

MLA:

Duzaar, Frank, and Andreas Gastel. "Nonlinear elliptic systems with Dini continuous coefficients." Archiv der Mathematik 78.1 (2002): 58-73.

BibTeX: Download