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𝒞1,β regularity for Dirichlet problems associated to fully nonlinear degenerate elliptic equations

Published online by Cambridge University Press:  13 August 2014

I. Birindelli  and
F. Demengel
I. Birindelli
Affiliation:
Dipartimento di Matematica “G. Castelnuovo”, Sapienza Università di Roma, Piazzale Aldo Moro 5, 00185 Roma, Italy
F. Demengel
Affiliation:
Laboratoire AGM, Université de Cergy Pontoise, 2 rue Adolphe Chauvin, 95302 Cergy Pontoise, France. francoise.demengel@u-cergy.fr
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Abstract

We prove Hölder regularity of the gradient, up to the boundary for solutions of some fully-nonlinear, degenerate elliptic equations, with degeneracy coming from the gradient.

Keywords

Regularityfully nonlinear equationssimplicity of the first nonlinear eigenvalue
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 20 , Issue 4 , October 2014 , pp. 1009 - 1024
Copyright
© EDP Sciences, SMAI, 2014

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