Interior C1, γ-regularity for weak solutions of nonlinear second orderelliptic systems
✍ Scribed by Josef Daněček; Oldřich John; Jana Stará
- Publisher
- John Wiley and Sons
- Year
- 2004
- Tongue
- English
- Weight
- 176 KB
- Volume
- 276
- Category
- Article
- ISSN
- 0025-584X
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✦ Synopsis
Abstract
The interior C^0, γ^‐regularity for the first gradient of a weak solution to a class of nonlinear second order elliptic systems is proved under the assumption that oscillations of coefficients are controlled by the ellipticity constant. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
📜 SIMILAR VOLUMES
In this paper, we study an extension of a C 1,α regularity theory developed by L. Caffarelli in [2] to some fully nonlinear elliptic equations of second order. In fact, we investigate a two-phase free boundary problem in which a fully nonlinear elliptic equation of second order is verified by the so