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Regularity for solutions of fully nonlinear elliptic equations with nonhomogeneous degeneracy

Part of: Elliptic equations and systems

Published online by Cambridge University Press:  29 January 2020

Cristiana De Filippis
Cristiana De Filippis*
Affiliation:
Cristiana De Filippis Mathematical Institute, University of Oxford, Andrew Wiles Building, Radcliffe Observatory Quarter, Woodstock Road, Oxford, OX26GG, United Kingdom (Cristiana.DeFilippis@maths.ox.ac.uk)
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Abstract

We prove that viscosity solutions to fully nonlinear elliptic equations with degeneracy of double phase type are locally C1, γ-regular.

Keywords

Fully nonlinear degenerate equationsDouble phase problemsRegularity

MSC classification

Primary: 35J60: Nonlinear elliptic equations
Secondary: 35J70: Degenerate elliptic equations
Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 151 , Issue 1 , February 2021 , pp. 110 - 132
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Copyright
Copyright © The Author(s) 2020. Published by The Royal Society of Edinburgh

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