16 citations · 35 across the 7 of their papers we have counts for
8 papers
Global regularity of critical SQG via a pointwise Leibniz commutator formula
Michele Caselli
We give a short proof of global regularity for the critical dissipative SQG equation in two dimensions. The argument is based on a pointwise representation of the Leibniz commutato…
A new Duhamel-type principle with applications to geometric (in)equalities
Michele Caselli, Luca Gennaioli
We introduce a simple new method, based on the Caffarelli-Silvestre extension and a Duhamel-type formula, to derive exact pointwise identities for fractional commutators and nonlin…
Fractional Sobolev spaces on Riemannian manifolds
Michele Caselli, Enric Florit-Simon, Joaquim Serra
This article studies the canonical Hilbert energy on a Riemannian manifold for , with particular focus on the case of closed manifolds. Several equivalent d…
Asymptotics as of the fractional perimeter on Riemannian manifolds
Michele Caselli, Luca Gennaioli
In this work we study the asymptotics of the fractional Laplacian as on any complete Riemannian manifold , both of finite and infinite volume. Surprisingly enough…
Yau's conjecture for nonlocal minimal surfaces
Michele Caselli, Enric Florit-Simon, Joaquim Serra
We introduce nonlocal minimal surfaces on closed manifolds and establish a far-reaching Yau-type result: in every closed, -dimensional Riemannian manifold we construct infinitel…
Lipschitz continuity results for a class of obstacle problems
Carlo Benassi, Michele Caselli
We prove Lipschitz continuity results for solutions to a class of obstacle problems under standard growth conditions of -type, . The main novelty is the use of a linea…
Regularity results for solutions to obstacle problems with Sobolev coeffcients
Michele Caselli, Andrea Gentile, Raffaella Giova
We establish the higher differentiability of solutions to a class of obstacle problems for integral functionals where the convex integrand f satisfies p-growth conditions with resp…
Regularity results for a class of obstacle problems with growth conditions
Michele Caselli, Michela Eleuteri, Antonia Passarelli di Napoli
In this paper we prove the local boundedness as well as the local Lipschitz continuity for solutions to a class of obstacle problems of the type $$\min\left\{\int_Ω{F(x, Dz)}: z\in…