P. Santos

activity

20062025

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4 papers · 1 filter

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.AP2017

Differential Equations and A-quasiconvexity

A. C. Barroso, J. Matias, P. M. Santos

In this paper we extend to the abstract A-framework some existence theorems for differential inclusion problems with Dirichlet boundary conditions.

math.AP2014

Homogenization of functional with linear growth in the context of $A$ -quasiconvexity

José Matias, Marco Morandotti, Pedro M. Santos

This work deals with the homogenization of functionals with linear growth in the context of $A$ -quasiconvexity. A representation theorem is proved, where the new integran…

math.AP2006

Characterization of two-scale gradient Young measures and application to homogenization

Jean-Francois Babadjian, Margarida Baia, Pedro M. Santos

This work is devoted to the study of two-scale gradient Young measures naturally arising in nonlinear elasticity homogenization problems. Precisely, a characterization of this clas…

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

Differential Equations and A-quasiconvexity

Homogenization of functional with linear growth in the context of A-quasiconvexity

Characterization of two-scale gradient Young measures and application to homogenization

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

Homogenization of functional with linear growth in the context of $A$ -quasiconvexity