From the 1 of 21 linked papers with an AI index.
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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…
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 , a…
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 $Ω_\e=Ï\times(0,\e)$. The first relevant order is $\e^{1-2s}$, at which the corresponding…
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…
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…
A CR structure with blowing up solutions to the CR Yamabe problem
Claudio Afeltra, Andrea Pinamonti
We prove the existence of a CR structure on such that the set of solutions to the CR Yamabe problem is not compact and admits a blowing-up sequence. Such CR structure is buil…