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math.AP2026
Asymptotic analysis of higher-order perturbations of the Perona--Malik functional
Andrea Braides, Irene Fonseca
The Gamma-limit of higher-order singular perturbations of the Perona-Malik functional is analyzed. The energies considered combine the critically scaled logarithmic term with a k-t…
math.AP2025
-convergence and stochastic homogenization for functionals in the -free setting
Gianni Dal Maso, Rita Ferreira, Irene Fonseca
We obtain a compactness result for -convergence of integral functionals defined on -free vector fields. This is used to study homogenization problems for these func…