Hölder regularity for non divergence form elliptic equations with discontinuous coefficients

Authors:

GFGiuseppe Di Fazio
Giuseppe Di Fazio
Maria Stella Fanciullo
Maria Stella Fanciullo
PZPietro Zamboni
Pietro Zamboni

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18 October 2012

preprint
Published by arXiv in arXiv

DOI:10.48550/arXiv.1210.5164

Abstract

In this note we study the global regularity in the Morrey spaces for the second derivatives for the strong solutions of non variational elliptic equations.

Keywords

DISCONTINUOUS COEFFICIENTS
VARIATIONAL ELLIPTIC
ELLIPTIC EQUATIONS
STRONG SOLUTIONS
LDER REGULARITY
DIVERGENCE FORM
FORM ELLIPTIC
REGULARITY
SPACES

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Version 1, 2012-10-18, ArXiv

This publication has 2 references indexed in Scilit:

On Dirichlet problem in Morrey spaces
Differential and Integral Equations, 1993
Interior a Priori Estimates for Solutions of Fully Non-Linear Equations
Annals of Mathematics, 1989