3 citations · 5 across the 6 of their papers we have counts for
7 papers · 1 filter
-convergence and -convergence in the Riesz fractional setting: the nonlinear case
Giuseppe C. Brusca, Maicol Caponi, Alessandro Carbotti +2
This paper concerns the -convergence of nonlinear nonlocal monotone operators defined through the Riesz fractional gradient and divergence. We show that the -convergence in t…
Variational convergences under moving anisotropies
Alberto Maione, Fabio Paronetto, Simone Verzellesi
We study the asymptotic behaviour of sequences of integral functionals depending on moving anisotropies. We introduce and describe the relevant functional setting, establishing uni…
A Harnack inequality for solutions of elliptic-parabolic equations
Fabio Paronetto
We want to prove a Harnack type inequality for solutions of strongly degenerate parabolic, or elliptic-parabolic, equations. To do that, we first define a De Giorgi class of order…
-convergence of elliptic and parabolic operators depending on vector fields
Alberto Maione, Fabio Paronetto, Eugenio Vecchi
We consider sequences of elliptic and parabolic operators in divergence form and depending on a family of vector fields. We show compactness results with respect to G-convergence,…
A Harnack's inequality for mixed type evolution equations
Fabio Paronetto
We define a homogeneous parabolic De Giorgi classes of order 2 which suits a mixed type class of evolution equations whose simplest example is $μ(x) \frac{\partial u}{\partial t} -…
Global higher integrability for parabolic quasiminimizers in metric spaces
Mathias Masson, Mikko Parviainen
We prove higher integrability up to the boundary for minimal p-weak upper gradients of parabolic quasiminimizers in metric measure spaces, related to the heat equation. We assume t…
Local higher integrability for parabolic quasiminimizers in metric spaces
Mathias Masson, Michele Miranda, Fabio Paronetto +1
Using variational methods, we prove local higher integrability for the minimal p-weak upper gradients of parabolic quasiminimizers in metric measure spaces. We assume the measure t…