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20102025
most citedHarnack inequality and regularity for degenerate quasilinear elliptic equations

23 citations · 24 across the 6 of their papers we have counts for

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math.AP2025

Higher Hölder regularity for degenerate elliptic PDEs with data in Morrey spaces

Giuseppe Di Fazio, Rafayel Teymurazyan, José Miguel Urbano

We establish sharp local -regularity for weak solutions to degenerate elliptic equations of -Laplacian type with data in Morrey spaces. The proof relies on the Fefferma…

math.AP2023

Regularity For Stationary Mean-Field Games With Logarithmic Coupling

Tigran Bakaryan, Giuseppe Di Fazio, Diogo A. Gomes

This paper investigates stationary mean-field games (MFGs) on the torus with Lipschitz non-homogeneous diffusion and logarithmic-like couplings. The primary objective is to underst…

math.AP2023

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…

math.AP2018

Regularity estimates in weighted Morrey spaces for quasilinear elliptic equations

Giuseppe Di Fazio, Truyen Nguyen

We study regularity for solutions of quasilinear elliptic equations of the form $÷\A(x,u,\nabla u) = ÷\F $ in bounded domains in . The vector field $\A$ is assumed to be cont…

math.AP2017★ 1 cited

Stable determination of a Lamé coefficient by one internal measurement of displacement

Giuseppe Di Fazio, Elisa Francini, Fabio Raciti +1

In this paper we show that the shear modulus of an isotropic elastic body can be stably recovered by the knowledge of one single displacement field whose boundary data can be a…

math.AP2012

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.