• 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. 

References

SHOWING 1-10 OF 10 REFERENCES
Global Morrey Regularity of Strong Solutions to the Dirichlet Problem for Elliptic Equations with Discontinuous Coefficients
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
Interior Estimates in Morrey Spaces for Strong Solutions to Nondivergence Form Equations with Discontinuous Coefficients
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
Interior a priori estimates for solutions of fully non-linear equations
On etend une theorie de perturbations aux solutions d'equations uniformement elliptiques d'ordre 2 totalement non lineaires
On Dirichlet problem in Morrey spaces
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
Elliptic second order equations
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
Interior estimates in Morrey spaces for strong solutions tonon - divergence form equations with discontinuous coefficients , J . of Func
  • 1993
2,p estimates for non divergence elliptic equations with discontinuous coefficients
  • Ric. di Mat.,XL (I),
  • 1991
2,p estimates for non divergence elliptic equations with discontinuous coefficients
  • Ric. di Mat.,XL (I),
  • 1991
Sistemi ellittici in forma divergenza
  • Regolaritá all’in terno, Quad. Scuola Norm. Sup. Pisa,
  • 1980