40 citations · 52 across the 17 of their papers we have counts for
22 papers
Active remodeling rescues a microswimmer from geometric trapping
Ayushi Bhatt, Nico Schramma, Jasper van der Gucht +1
Natural habitats confront microorganisms with heterogeneous, mechanically complex surroundings that shape how they move and explore. Most studies of motility in complex media treat…
Entire spacelike radial graphs with prescribed mean curvature in the Lorentz--Minkowski space
Gabriele Cora, Alessandro Iacopetti, Lorenzo Maniscalco
In this paper we address the existence and uniqueness of entire spacelike hypersurfaces in the Lorentz--Minkowski space with prescribed mean curvature that are s…
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…
Energy stability for a class of semilinear elliptic problems
Danilo Gregorin Afonso, Alessandro Iacopetti, Filomena Pacella
In this paper, we consider semilinear elliptic problems in a bounded domain contained in a given unbounded Lipschitz domain . Our aim is to stud…
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…
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…
Existence of nonradial domains for overdetermined and isoperimetric problems in nonconvex cones
Alessandro Iacopetti, Filomena Pacella, Tobias Weth
In this work we address the question of the existence of nonradial domains inside a nonconvex cone for which a mixed boundary overdetermined problem admits a solution. Our approach…
A sharp gradient estimate and regularity for the prescribed mean curvature equation in the Lorentz-Minkowski space
Denis Bonheure, Alessandro Iacopetti
We consider the prescribed mean curvature equation for entire spacelike hypersurfaces in the Lorentz-Minkowski space, namely \begin{equation*} -\operatorname{div}\left(\displaystyl…
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…
Spacelike radial graphs of prescribed mean curvature in the Lorentz-Minkowski space
Denis Bonheure, Alessandro Iacopetti
In this paper we investigate the existence and uniqueness of spacelike radial graphs of prescribed mean curvature in the Lorentz-Minkowski space , for ,…
On the structure of the nodal set and asymptotics of least energy sign-changing radial solutions of the fractional Brezis-Nirenberg problem
Gabriele Cora, Alessandro Iacopetti
In this paper we study the asymptotic and qualitative properties of least energy radial sign-changing solutions of the fractional Brezis--Nirenberg problem ruled by the s-laplacian…
Existence of isovolumetric extremals for capillarity functionals
Paolo Caldiroli, Alessandro Iacopetti
Capillarity functionals are parameter invariant functionals defined on classes of two-dimensional parametric surfaces in R3 as the sum of the area integral and a non homogeneous te…
Existence of stable H-surfaces in cones and their representation as radial graphs
Paolo Caldiroli, Alessandro Iacopetti
In this paper we study the Plateau problem for disk-type surfaces contained in conic regions of and with prescribed mean curvature . Assuming a suitable growth…
Sign-changing blowing-up solutions for the Brezis--Nirenberg problem in dimensions four and five
Alessandro Iacopetti, Giusi Vaira
We consider the Brezis-Nirenberg problem: $$-Δu =λu + |u|^{p-1}u\qquad \mbox{in}\,\, Ω,\quad u=0\,\, \mbox{on}\,\,\ \partialΩ,$$ where is a smooth bounded domain in $\mathbb R^…
Asymptotic analysis for radial sign-changing solutions of the Brezis-Nirenberg problem in low dimensions
Alessandro Iacopetti, Filomena Pacella
We consider the classical Brezis-Nirenberg problem in the unit ball of , and analyze the asymptotic behavior of nodal radial solutions in the low dimensions…
A nonexistence result for sign-changing solutions of the Brezis-Nirenberg problem in low dimensions
Alessandro Iacopetti, Filomena Pacella
We consider the Brezis-Nirenberg problem: \begin{equation*} \begin{cases} -Δu = λu + |u|^{2^* -2}u & \hbox{in}\ Ω\\ u=0 & \hbox{on}\ \partial Ω, \end{cases} \end{equation*} where $…
Sign-changing tower of bubbles for the Brezis-Nirenberg problem
Alessandro Iacopetti, Giusi Vaira
In this paper, we prove that the Brezis-Nirenberg problem -Δu = |u|^{p-1}u+εu in Ω; u=0 on \partial Ωwhere Ωis a symmetric bounded smooth domain in R^N, N\geq 7 and p = (N+2)/(N-2)…
Asymptotic analysis for radial sign-changing solutions of the Brezis-Nirenberg problem
Alessandro Iacopetti
We study the asymptotic behavior, as , of least energy radial sign-changing solutions , of the Brezis-Nirenberg problem \begin{equation*} \begin{cases} -Δu = λ…