activity
20242026
collaborators

5 papers

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) \qu…

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 , , is either a bounded or unbounded annulu…

math.AP2024

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 , $N\ge…

math.AP2024

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 , that i…

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\q…