activity
20002024
most citedSymmetry breaking of extremals for the Caffarelli-Kohn-Nirenberg inequalities in a non-Hilbertian setting

15 citations · 27 across the 15 of their papers we have counts for

collaborators

17 papers

math.AP2024

A shape optimization problem in cylinders and related overdetermined problems

Paolo Caldiroli, Alessandro Iacopetti, Filomena Pacella

In this paper, we study a shape optimization problem for the torsional energy associated with a domain contained in an infinite cylinder, under a volume constraint. We prove that a…

math.DG2022

Annular type surfaces with fixed boundary and with prescribed, almost constant mean curvature

Paolo Caldiroli, Gabriele Cora, Alessandro Iacopetti

We prove existence and nonexistence results for annular type parametric surfaces with prescribed, almost constant mean curvature, characterized as normal graphs of compact portions…

math.DG2021

An inverse approach to hyperspheres of prescribed mean curvature in Euclidean space

Paolo Caldiroli

We construct families of smooth functions such that the Euclidean -space is completely filled by not necessarily round hyperspheres of…

math.AP2020

On the non-existence of compact surfaces of genus one with prescribed, almost constant mean curvature, close to the singular limit

Paolo Caldiroli, Alessandro Iacopetti, Monica Musso

In Euclidean 3-space endowed with a Cartesian reference system we consider a class of surfaces, called Delaunay tori, constructed by bending segments of Delaunay cylinders with nec…

math.DS2019★ 5 cited

On the dynamics of a charged particle in magnetic fields with cylindrical symmetry

Paolo Caldiroli, Gabriele Cora

We study the motion of a charged particle under the action of a magnetic field with cylindrical symmetry. In particular we consider magnetic fields with constant direction and with…

math.AP2017

Embedded tori with prescribed mean curvature

Paolo Caldiroli, Monica Musso

We construct a sequence of compact, oriented, embedded, two-dimensional surfaces of genus one into Euclidean 3-space with prescribed, almost constant, mean curvature of the form $H…