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math.AP2025
Multiscale homogenization of non-local energies of convolution-type
Giuseppe Cosma Brusca
We analyze a family of non-local integral functionals of convolution-type depending on two small positive parameters : the first rules the length-scale of the non-lo…
math.FA2025
A note on non-local Sobolev spaces and non-local perimeters
Konstantinos Bessas, Giuseppe Cosma Brusca
We investigate the space of non-local Sobolev functions associated with an integral kernel. We prove an extension result, Sobolev and Poincaré inequalities and an isoperimetric ine…
math.AP2025★ 2 cited
Singular perturbations models in phase transitions for anisotropic higher-order materials
Giuseppe Cosma Brusca, Davide Donati, Chiara Trifone
We discuss a model for phase transitions in which a double-well potential is singularly perturbed by possibly several terms involving different, arbitrarily high orders of derivati…