23 citations · 23 across the 4 of their papers we have counts for
6 papers
Matrix Weights and Regularity for Degenerate Elliptic Equations
Giuseppe Di Fazio, Maria Stella Fanciullo, Dario Daniele Monticelli +2
We prove local boundedness, Harnack's inequality and local regularity for weak solutions of quasilinear degenerate elliptic equations in divergence form with Rough coefficients. De…
On Burenkov's extension operator preserving Sobolev-Morrey spaces on Lipschitz domains
Maria Stella Fanciullo, Pier Domenico Lamberti
We prove that Burenkov's Extension Operator preserves Sobolev spaces built on general Morrey spaces, including classical Morrey spaces. The analysis concerns bounded and unbounded…
The local sharp maximal function and BMO on locally homogeneous spaces
Marco Bramanti, Maria Stella Fanciullo
We prove a local version of Fefferman-Stein inequality for the local sharp maximal function, and a local version of John-Nirenberg inequality for locally BMO functions, in the fram…
Hölder regularity for non divergence form elliptic equations with discontinuous coefficients
Giuseppe Di Fazio, Maria Stella Fanciullo, Pietro Zamboni
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.
BMO estimates for nonvariational operators with discontinuous coefficients structured on Hormander's vector fields on Carnot groups
Marco Bramanti, Maria Stella Fanciullo
We consider a class of nonvariational linear operators formed by homogeneous left invariant Hormander's vector fields with respect to a structure of Carnot group. The bounded coeff…
Harnack inequality and regularity for degenerate quasilinear elliptic equations
Giuseppe Di Fazio, Maria Stella Fanciullo, Piero Zamboni
We prove Harnack inequality and local regularity results for weak solutions of a quasilinear degenerate equation in divergence form under natural growth conditions. The degeneracy…