Jos'e Matias

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math.AP2026

Structured Deformations in Linearized Elasticity

Manuel Friedrich, JosÃ© Matias, Elvira Zappale

We extend the theory of structured deformations to the setting of linearized elasticity by providing an integral representation for the underlying energy that features bulk and sur…

math.AP2025

Lower semicontinuity of nonlocal $L^{\infty}$ energies on $S B V_{0} (I)$

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 $I$ is an…

math.AP2025

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

We consider a thin multi-domain of $R^{N}$ , with $N \geq 2$ , consisting of a vertical rod upon a horizontal disk. In this thin multi-domain, we introduce a bulk energy density…

Structured Deformations in Linearized Elasticity

Lower semicontinuity of nonlocal L∞ energies on SBV0​(I)

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

Lower semicontinuity of nonlocal $L^{\infty}$ energies on $S B V_{0} (I)$