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math.CA2025
A Comprehensive Approach via Global Relaxation to the Variational Modelling of Hierarchical Structured Deformations
Ana Cristina Barroso, José Matias, Marco Morandotti +2
The response of many materials to applied forces and boundary constraints depends upon internal geometric changes at multiple submacroscopic levels. Hierarchical structured deforma…
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…