activity
20072025
most citedLower semicontinuity and relaxation of nonlocal -functionals

17 citations · 38 across the 35 of their papers we have counts for

collaborators

38 papers

math.AP2025

Lower semicontinuity of nonlocal energies on

Jose Matias, Pedro M. Santos, Elvira Zappale

We characterize the lower-semicontinuity of nonlocal one-dimensional energies of the type \[{\rm ess}\!\!\!\!\!\!\!\!\sup_{(s,t) \in I\times I} h([u](s), [u](t)),\] where is an…

math.AP2025

Integral representation for a relaxed optimal design problem for non-simple grade two materials

Ana Cristina Barroso, Elvira Zappale

A measure representation result for a functional modelling optimal design problems for plastic deformations, under linear growth conditions, is obtained. Departing from an energy w…

math.AP2024

Homogenization of non-convex integral energies with Orlicz growth via periodic unfolding

Joel Fotso Tachago, Guiliano Gargiulo, Hubert Nnang +1

The periodic unfolding method is extended to the Orlicz setting and used to prove a homogenization result for non-convex integral energies defined on vector-valued configurations i…

math.AP2024

Junction in a thin multi-domain for nonsimple grade two materials in BH

Rita Ferreira, José Matias, Elvira Zappale

We consider a thin multi-domain of , with , consisting of a vertical rod upon a horizontal disk. In this thin multi-domain, we introduce a bulk energy density…

math.AP2023

A Global Method for Relaxation for Multi-levelled Structured Deformations

Ana Cristina Barroso, José Matias, Elvira Zappale

We prove an integral representation result for a class of variational functionals appearing in the framework of hierarchical systems of structured deformations via a global method…

math.AP2023

Asymptotic analysis of a clamped thin multidomain allowing for fractures and discontinuities

G. Carvalho, J. Matias, E. Zappale

We consider a thin multidomain of consisting of a vertical rod upon a horizontal disk. The equilibrium configurations of the thin hyperelastic multidomain, allowing…