7 papers · 1 filter
Overdetermined problems and relative Cheeger sets in unbounded domains
Danilo Gregorin Afonso, Alessandro Iacopetti, Filomena Pacella
In this paper we study a partially overdetermined mixed boundary value problem for domains contained in an unbounded set . We introduce the notion of Cheeger set re…
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…
New concentration phenomena for a class of radial fully nonlinear equations
Giulio Galise, Alessandro Iacopetti, Fabiana Leoni +1
We study radial sign-changing solutions of a class of fully nonlinear elliptic Dirichlet problems in a ball, driven by the extremal Pucci's operators and with a power nonlinear ter…
Liouville-type results in exterior domains for radial solutions of fully nonlinear equations
Giulio Galise, Alessandro Iacopetti, Fabiana Leoni
We give necessary and sufficient conditions for the existence of positive radial solutions for a class of fully nonlinear uniformly elliptic equations posed in the complement of a…
Sign-changing bubble-tower solutions to fractional semilinear elliptic problems
Gabriele Cora, Alessandro Iacopetti
We study the asymptotic and qualitative properties of least energy radial sign-changing solutions to fractional semilinear elliptic problems of the form \[ \begin{cases} (-Δ)^s u =…
On the regularity of the minimizer of the electrostatic Born-Infeld energy
Denis Bonheure, Alessandro Iacopetti
We consider the electrostatic Born-Infeld energy \begin{equation*} \int_{\mathbb{R}^N}\left(1-{\sqrt{1-|\nabla u|^2}}\right)\, dx -\int_{\mathbb{R}^N}ρu\, dx, \end{equation*} where…