Simone Verzellesi

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math.AP2025

Variational convergences under moving anisotropies

Alberto Maione, Fabio Paronetto, Simone Verzellesi

We study the asymptotic behaviour of sequences of integral functionals depending on moving anisotropies. We introduce and describe the relevant functional setting, establishing uni…

math.AP2024

Variational properties of local functionals driven by arbitrary anisotropies

Simone Verzellesi

We provide integral representation and $Γ$ -compactness results for anisotropic local functionals depending on arbitrary Lipschitz continuous vector fields. In particular, neither b…

math.AP2023

The asymptotic $p$ -Poisson equation as $p \to \infty$ in Carnot-Carathéodory spaces

Luca Capogna, Gianmarco Giovannardi, Andrea Pinamonti +1

In this paper we study the asymptotic behavior of solutions to the subelliptic $p$ -Poisson equation as $p \to + \infty$ in Carnot Carathéodory spaces. In particular, introducing a su…

math.AP2021

Multiple solutions for nonlinear boundary value problems of Kirchhoff type on a double phase setting

Alessio Fiscella, Greta Marino, Andrea Pinamonti +1

This paper deals with some classes of Kirchhoff type problems on a double phase setting and with nonlinear boundary conditions. Under general assumptions, we provide multiplicity r…

math.AP2021

$Γ$ -Compactness of Some Classes of Integral Functionals Depending on Vector Fields

Fares Essebei, Simone Verzellesi

In this paper we achieve some $Γ$ -compactness results for suitable classes of integral functionals depending on a given family of Lipschitz vector fields, with respect to both the…