Dario Reggiani

activity

20222026

collaborators

7 papers

math.AP2026

Global minimality of lamellae for isotropic Ohta--Kawasaki and Yukawa energies

Dario Reggiani

We establish a sharp comparison principle for the sharp-interface Ohta--Kawasaki energy and its Yukawa-screened counterpart in dimensions $2 \leq d \leq 7$ , for $m = 0$ , and under period…

math.AP2026

Fractured membranes under determinant constraints: the case of cohesive surface energies

Nicola Pio Melillo, Dario Reggiani

This paper is devoted to the variational derivation of reduced models for elastic membranes with fracture under constraints on the determinant of the deformation gradient. We consi…

math.AP2025

A distributional approach to nonlocal curvature flows

Filippo Cagnetti, Massimiliano Morini, Dario Reggiani

In \cite{CMP17} a novel distributional approach has been introduced to provide a well-posed formulation of a class of crystalline mean curvature flows. In this paper, such an appro…

math.AP2024

From discrete to continuum in the helical XY-model: emergence of chirality transitions in the $S^{1}$ to $S^{2}$ limit

Marco Cicalese, Dario Reggiani, Francesco Solombrino

We analyze the discrete-to-continuum limit of a frustrated ferromagnetic/anti-ferromagnetic $S^{2}$ -valued spin system on the lattice $λ_{n} Z^{2}$ as $λ_{n} \to 0$ . For $\…

math.AP2023

Geometric rigidity for incompatible fields in the multi-well case and an application to strain-gradient plasticity

Stefano Almi, Dario Reggiani, Francesco Solombrino

We derive a quantitative rigidity estimate for a multi-well problem in nonlinear elasticity with dislocations. Precisely, we show that the $L^{1^{*}}$ -distance of a possibly incomp…

math.AP2023

Lower semicontinuity and relaxation for free discontinuity functionals with non-standard growth

Stefano Almi, Dario Reggiani, Francesco Solombrino

A lower semicontinuity result and a relaxation formula for free discontinuity functionals with non-standard growth in the bulk energy are provided. Our analysis is based on a non-t…

math.AP2022

Brittle membranes in finite elasticity

Stefano Almi, Dario Reggiani, Francesco Solombrino

This work is devoted to the variational derivation of a reduced model for brittle membranes in finite elasticity. The main mathematical tools we develop for our analysis are: (i) a…

Global minimality of lamellae for isotropic Ohta--Kawasaki and Yukawa energies

Fractured membranes under determinant constraints: the case of cohesive surface energies

A distributional approach to nonlocal curvature flows

From discrete to continuum in the helical XY-model: emergence of chirality transitions in the S1 to S2 limit

Geometric rigidity for incompatible fields in the multi-well case and an application to strain-gradient plasticity

Lower semicontinuity and relaxation for free discontinuity functionals with non-standard growth

Brittle membranes in finite elasticity

From discrete to continuum in the helical XY-model: emergence of chirality transitions in the $S^{1}$ to $S^{2}$ limit