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20072025
most citedLower semicontinuity and relaxation of nonlocal -functionals

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

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26 papers · 1 filter

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…