F. Colasuonno

activity

20142026

most citedFrom a systems theory of sociology to modeling the onset and evolution of criminality

51 citations · 177 across the 26 of their papers we have counts for

collaborators

29 papers

math.AP2026

Collapse and saturation for radial nodal solutions of a Lorentz--Minkowski mean curvature equation

Alberto Boscaggin, Francesca Colasuonno, Ricardo Ziegele

We consider the Dirichlet problem for the Lorentz--Minkowski mean curvature operator in a radial setting, $$ -\operatorname{div}\left(\frac{\nabla u}{\sqrt{1-|\nabla u|^2}}\right)…

math.AP2026

Positive and nodal solutions for the Minkowski mean curvature equation: multiplicity and asymptotics

Alberto Boscaggin, Francesca Colasuonno, Ricardo Ziegele

We consider the Dirichlet problem for the mean curvature operator in Minkowski space, \[ -\operatorname{div}\left(\frac{\nabla u}{\sqrt{1-|\nabla u|^2}}\right) = λu + μh(x,u) \quad…

math.AP2025

An Orlicz space approach to exponential elliptic problems in higher dimensions

Alberto Boscaggin, Francesca Colasuonno, Benedetta Noris +1

We consider semilinear elliptic problems of the form \[ -Δu + λu = f(x,u), \quad u\in H^1_0(A), \] where $A \subset R^{N}$ , $N \geq 3$ , is either a bounded or unbounded annulus,…

math.AP2024

Continuous dependence for p-Laplace equations with varying operators

Francesca Colasuonno, Benedetta Noris, Elisa Sovrano

For the following Neumann problem in a ball $$\begin{cases} -Δ_p u+u^{p-1}=u^{q-1}\quad&\text{in }B,\\ u>0,\,u\text{ radial}\quad&\text{in }B,\\ \frac{\partial u}{\partial ν}=0\qua…

math.AP2023

Stability vs. instability of singular steady states in the parabolic-elliptic Keller-Segel system on $R^{n}$

Francesca Colasuonno, Michael Winkler

The Cauchy problem in $R^{n}$ is considered for \begin{eqnarray*} \left\{ \begin{array}{l} u_t = Δu - \nabla \cdot (u\nabla v),\\ 0 = Δv + u. \end{array} \right. \end{eqnarra…

math.AP2023

Multiplicity and symmetry breaking for supercritical elliptic problems in exterior domains

Alberto Boscaggin, Francesca Colasuonno, Benedetta Noris +1

We deal with the following semilinear equation in exterior domains \[-Δu + u = a(x)|u|^{p-2}u,\qquad u\in H^1_0({A_R}), \] where $A_{R} := {x \in R^{N} : ∣ x ∣ > R}$ , $N\ge 3…

math.AP2023

Critical growth double phase problems: the local case and a Kirchhoff type case

Francesca Colasuonno, Kanishka Perera

We study Brezis-Nirenberg type problems, governed by the double phase operator $- div (∣\nabla u ∣^{p - 2} \nabla u + a (x) ∣\nabla u ∣^{q - 2} \nabla u)$ , that i…

math.AP2022

Existence and non-existence results for a semilinear fractional Neumann problem

Eleonora Cinti, Francesca Colasuonno

We establish a priori $L^{\infty}$ -estimates for non-negative solutions of a semilinear nonlocal Neumann problem. As a consequence of these estimates, we get non-existence of non-con…

math.AP2022

Asymptotics for a high-energy solution of a supercritical problem

Francesca Colasuonno, Benedetta Noris

In this paper we deal with the equation \[-Δ_p u+|u|^{p-2}u=|u|^{q-2}u\] for $1 < p < 2$ and $q > p$ , under Neumann boundary conditions in the unit ball of $R^{N}$ . We focus on the…

math.AP2021

Multiplicity of solutions on a Nehari set in an invariant cone

Francesca Colasuonno, Benedetta Noris, Gianmaria Verzini

For $1 < p < 2$ and $q$ large, we prove the existence of two positive, nonconstant, radial and radially nondreacreasing solutions of the supercritical equation \[-Δ_p u+u^{p-1}=u^{q-1}…

math.AP2021

A supercritical elliptic equation in the annulus

Alberto Boscaggin, Francesca Colasuonno, Benedetta Noris +1

By a combination of variational and topological techniques in the presence of invariant cones, we detect a new type of positive axially symmetric solutions of the Dirichlet problem…

math.AP2020

Multiple solutions for asymptotically $q$ -linear $(p, q)$ -Laplacian problems

Francesca Colasuonno

We investigate the existence and the multiplicity of solutions of the problem $$ \begin{cases} -Δ_p u-Δ_q u = g(x, u)\quad & \mbox{in } Ω,\\ \displaystyle{u=0} & \mbox{on } \partia…

math.AP2020★ 3 cited

Multiple bounded variation solutions for a prescribed mean curvature equation with Neumann boundary conditions

A. Boscaggin, F. Colasuonno, C. De Coster

We prove the existence of multiple positive BV-solutions of the Neumann problem $$ \begin{cases} \displaystyle -\left(\frac{u'}{\sqrt{1+u'^2}}\right)'=a(x)f(u)\quad&\mbox{in }(0,1)…

math.AP2019

Multiplicity of solutions for the Minkowski-curvature equation via shooting method

Alberto Boscaggin, Francesca Colasuonno, Benedetta Noris

In this paper we prove the existence and the multiplicity of radial positive oscillatory solutions for a nonlinear problem governed by the mean curvature operator in the Lorentz-Mi…

math.AP2019★ 14 cited

A nonlocal supercritical Neumann problem

Eleonora Cinti, Francesca Colasuonno

We establish existence of positive non-decreasing radial solutions for a nonlocal nonlinear Neumann problem both in the ball and in the annulus. The nonlinearity that we consider i…

math.AP2019★ 6 cited

The Soap Bubble Theorem and a $p$ -Laplacian overdetermined problem

Francesca Colasuonno, Fausto Ferrari

We consider the $p$ -Laplacian equation $- Δ_{p} u = 1$ for $1 < p < 2$ , on a regular bounded domain $Ω \subset R^{N}$ , with $N \geq 2$ , under homogeneous Dirichlet boundary conditions. In…

math.AP2018

Positive radial solutions for the Minkowski-curvature equation with Neumann boundary conditions

Alberto Boscaggin, Francesca Colasuonno, Benedetta Noris

We analyze existence, multiplicity and oscillatory behavior of positive radial solutions to a class of quasilinear equations governed by the Lorentz-Minkowski mean curvature operat…

math.AP2018★ 14 cited

Symmetry and rigidity for the hinged composite plate problem

Francesca Colasuonno, Eugenio Vecchi

The composite plate problem is an eigenvalue optimization problem related to the fourth order operator $(- Δ)^{2}$ . In this paper we continue the study started in [10], focusing on sy…

math.AP2018★ 15 cited

A priori bounds and multiplicity of positive solutions for $p$ -Laplacian Neumann problems with sub-critical growth

Alberto Boscaggin, Francesca Colasuonno, Benedetta Noris

Let $1 < p < + \infty$ and let $Ω \subset R^{N}$ be either a ball or an annulus. We continue the analysis started in [Boscaggin, Colasuonno, Noris, ESAIM Control Optim. Calc. Var. (…

math.AP2017★ 1 cited

Radial positive solutions for p-Laplacian supercritical Neumann problems

Francesca Colasuonno, Benedetta Noris

This paper deals with existence and multiplicity of positive solutions for a quasilinear problem with Neumann boundary conditions, set in a ball. The problem admits at least one co…

math.AP2017★ 20 cited

On the Born-Infeld equation for electrostatic fields with a superposition of point charges

Denis Bonheure, Francesca Colasuonno, Juraj Foldes

In this paper, we study the static Born-Infeld equation $$ -\mathrm{div}\left(\frac{\nabla u}{\sqrt{1-|\nabla u|^2}}\right)=\sum_{k=1}^n a_kδ_{x_k}\quad\mbox{in }\mathbb R^N,\qquad…

math.AP2017★ 8 cited

Symmetry in the composite plate problem

Francesca Colasuonno, Eugenio Vecchi

In this paper we deal with the composite plate problem, namely the following optimization eigenvalue problem $$ \inf_{ρ\in \mathrm{P}} \inf_{u \in \mathcal{W}\setminus\{0\}} \frac{…

math.AP2017★ 5 cited

Multiple positive solutions for a class of p-Laplacian Neumann problems without growth conditions

Alberto Boscaggin, Francesca Colasuonno, Benedetta Noris

For $1 < p < \infty$ , we consider the following problem $- Δ_{p} u = f (u), u > 0 in Ω, \partial_{ν} u = 0 on \partial Ω,$ where $Ω \subset R^{N}$ is either a ball or…

math.AP2016★ 4 cited

A $p$ -Laplacian Neumann problem with a possibly supercritical nonlinearity

Francesca Colasuonno

We look for nonconstant, positive, radially nondecreasing solutions of the quasilinear equation $- Δ_{p} u + u^{p - 1} = f (u)$ with $p > 2$ , in the unit ball $B$ of $R^{N}$ , subject to…

Collapse and saturation for radial nodal solutions of a Lorentz--Minkowski mean curvature equation

Positive and nodal solutions for the Minkowski mean curvature equation: multiplicity and asymptotics

An Orlicz space approach to exponential elliptic problems in higher dimensions

Continuous dependence for p-Laplace equations with varying operators

Stability vs. instability of singular steady states in the parabolic-elliptic Keller-Segel system on Rn

Multiplicity and symmetry breaking for supercritical elliptic problems in exterior domains

Critical growth double phase problems: the local case and a Kirchhoff type case

Existence and non-existence results for a semilinear fractional Neumann problem

Asymptotics for a high-energy solution of a supercritical problem

Multiplicity of solutions on a Nehari set in an invariant cone

A supercritical elliptic equation in the annulus

Multiple solutions for asymptotically q-linear (p,q)-Laplacian problems

Multiple bounded variation solutions for a prescribed mean curvature equation with Neumann boundary conditions

Multiplicity of solutions for the Minkowski-curvature equation via shooting method

A nonlocal supercritical Neumann problem

The Soap Bubble Theorem and a p-Laplacian overdetermined problem

Positive radial solutions for the Minkowski-curvature equation with Neumann boundary conditions

Symmetry and rigidity for the hinged composite plate problem

A priori bounds and multiplicity of positive solutions for p-Laplacian Neumann problems with sub-critical growth

Radial positive solutions for p-Laplacian supercritical Neumann problems

On the Born-Infeld equation for electrostatic fields with a superposition of point charges

Symmetry in the composite plate problem

Multiple positive solutions for a class of p-Laplacian Neumann problems without growth conditions

A p-Laplacian Neumann problem with a possibly supercritical nonlinearity

Stability vs. instability of singular steady states in the parabolic-elliptic Keller-Segel system on $R^{n}$

Multiple solutions for asymptotically $q$ -linear $(p, q)$ -Laplacian problems

The Soap Bubble Theorem and a $p$ -Laplacian overdetermined problem

A priori bounds and multiplicity of positive solutions for $p$ -Laplacian Neumann problems with sub-critical growth

A $p$ -Laplacian Neumann problem with a possibly supercritical nonlinearity