Riccardo Scala

collaborators

5 papers

math.AP2026

Explicit formulas of strict BV relaxed energies for polyconvex functionals with linear growth

Domanico Mucci, Riccardo Scala

We consider polyconvex functionals defined on vector valued functions, the model case being the graph area functional, and we analyze the relaxed energy with respect to the strict…

math.AP2026

Concentration effects and $I^$ -limit for the elastica functional for open and closed curves

Giovanni Bellettini, Virginia Lorenzini, Matteo Novaga +1

We study the $I^$ -convergence of a class of elastica-type energies defined on immersed planar curves and depending on a small positive parameter $I^µ$ . As $I^µ \to 0^{+}$ , sequences wit…

math.AP2026

$I^$ -convergence of free discontinuity problems for circle-valued maps in the linear regime

Giovanni Bellettini, Roberta Marziani, Riccardo Scala

We investigate the $I^$ -convergence of Ambrosio-Tortorelli type-functionals for circle valued functions, in the case of volume terms with linear growth. We show the emergence of a…

math.AP2026

A fourth-order regularization of the curvature flow of immersed plane curves with Dirichlet boundary conditions

Giovanni Bellettini, Virginia Lorenzini, Matteo Novaga +1

We consider a fourth-order regularization of the curvature flow for an immersed plane curve with fixed boundary, using an elastica-type functional depending on a small positive par…

math.AP2025

On jump minimizing liftings for $S^{1}$ -valued maps and connections with Ambrosio-Tortorelli-type $I^$ -limits

Giovanni Bellettini, Roberta Marziani, Riccardo Scala

This paper is concerned with the $I^$ -limits of Ambrosio-Tortorelli-type functionals, for maps $u$ defined on an open bounded set $I^c ◯ \subset R^{n}$ and taking values in the un…

Explicit formulas of strict BV relaxed energies for polyconvex functionals with linear growth

Concentration effects and I^-limit for the elastica functional for open and closed curves

I^-convergence of free discontinuity problems for circle-valued maps in the linear regime

A fourth-order regularization of the curvature flow of immersed plane curves with Dirichlet boundary conditions

On jump minimizing liftings for S1-valued maps and connections with Ambrosio-Tortorelli-type I^-limits

Concentration effects and $I^$ -limit for the elastica functional for open and closed curves

$I^$ -convergence of free discontinuity problems for circle-valued maps in the linear regime

On jump minimizing liftings for $S^{1}$ -valued maps and connections with Ambrosio-Tortorelli-type $I^$ -limits