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𝒞1,β regularity for Dirichlet problems associated to fully nonlineardegenerate 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

Abstract

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

Keywords

Regularityfully nonlinear equationssimplicity of the first nonlinear eigenvalue

Information

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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