International Program for Research in Groups (IP4RG)

A Mathematical Approach to the Homogenization of Nonlocal Composite Materials:
H-convergence, G-convergence, and Γ-convergence

Aim of the project

Together with my collaborators, we aim to develop new mathematical ideas to study the behaviour of nonlocal materials and their applications in modern engineering and material science.

Members of the project

Giuseppe Cosma Brusca, PhD student, Sissa
Maicol Caponi, Fixed-term researcher, University of L'Aquila
Alessandro Carbotti, Postdoctoral fellow, University of Salento
Alberto Maione, Principal investigator, CRM Barcelona
Fabio Paronetto, Associate Professor, University of Padua
Simone Verzellesi, Postdoctoral fellow, University of Padua

Outcome of the project

Publications

M. Caponi, A. Carbotti, A. Maione
H-compactness for nonlocal linear operators in fractional divergence form.
Calculus of Variations and Partial Differential Equations (2025)
Published version (Open Access)

Preprint

A. Maione, F. Paronetto, S. Verzellesi
Variational convergences under moving anisotropies

Preprint (Open Access)

In Preparation

J. Duran, A. Maione - Editors (Book)
New Frontiers in Homogenization and Fractional Calculus
Springer-Birkhäuser
G.C. Brusca, M. Caponi, A. Carbotti, A. Maione, F. Paronetto
H-compactness for nonlocal monotone operators in fractional divergence form.

As a by-product of the Research in Groups IP4RG, the conference New Frontiers in Homogenization and Fractional Calculus took place on March 24-25, 2025.