22 citations · 80 across the 66 of their papers we have counts for
34 papers · 1 filter
Decoupling and Tail Laws for Small-Order Metric-Valued Nonlocal Energies: A Structural View of the Maz'ya--Shaposhnikova Formula
Andrea Pinamonti
We develop a measure-theoretic framework for small-order limits of nonlocal energies with metric-valued maps. For globally maps, we consider interaction measures whose margin…
A discrete-time overdetermined problem for the heat equation
Lorenzo Cavallina, Andrea Pinamonti
In this paper, we consider a parabolic counterpart of Serrin's overdetermined problem, in which the overdetermined condition (constant flux condition) is imposed only on a discrete…
Dimension reduction of fractional Sobolev seminorms on thin domains
Andrea Braides, Andrea Pinamonti, Margherita Solci
We study the asymptotic behaviour of Gagliardo seminorms in defined on thin films $Ω_\e=ω\times(0,\e)$. The first relevant order is $\e^{1-2s}$, at which the corresponding li…
Compactness in Dimension Five and Equivariant Noncompactness for the CR Yamabe Problem
Claudio Afeltra, Andrea Pinamonti, Pak Tung Ho
We study compactness and noncompactness phenomena for the CR Yamabe equation on compact strictly pseudoconvex CR manifolds. First, in dimension five we establish uniform \emph{a pr…
Asymptotic analysis of fractional Sobolev spaces on thin films in the low-integrability regime
Andrea Braides, Andrea Pinamonti, Margherita Solci
We study the behaviour of fractional Sobolev spaces with defined on ``thin films'' in , and…
Chernoff solutions of the heat and the Schrödinger equation in the Heisenberg group
Nicolò Drago, Sonia Mazzucchi, Andrea Pinamonti
This paper investigates the application of the classical Chernoff's theorem to construct explicit solutions for the heat and Schrödinger equations on the Heisenberg group $\mathbb{…