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Corpus ID: 119161318

H\"older regularity for non divergence form elliptic equations with discontinuous coefficients

@article{DiFazio2012HolderRF,
title={H\"older regularity for non divergence form elliptic equations with discontinuous coefficients},
author={Giuseppe Di Fazio and Maria Stella Fanciullo and Pietro Zamboni},
journal={arXiv: Analysis of PDEs},
year={2012}
}

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.

Abstract Well-posedness is proved in the space W2, p, λ(Ω)∩W1, p0(Ω) for the Dirichlet problem -- EQUATION OMITTED -- if the principal coefficients aij(x) of the uniformly elliptic operator belong to… Expand

Abstract Let us consider the nondivergence form elliptic equation a ij u x i x j = ƒ In this paper we show that if the known term ƒ belongs to the Morrey space L p, λ then the second derivatives of… Expand

and holder regularity of the solutionto the Dirichlet problem for equation ( 6) (see [Sta] ).The proof is based on the study of a non convolution integral operatorobtained from the representation… Expand

Preface: These notes correspond to a series of lectures I was invited to deliver by the Accademia dei Lincei at the Politecnico de Milano in April 1987.Most of the material here presented is… Expand