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math.AP2025
On the Lavrentiev gap for manifold-valued maps
Carlo Alberto Antonini, Filomena De Filippis, Cintia Pacchiano Camacho
We investigate the validity and the failure of modular density of smooth maps on compact manifolds.
math.AP2025
Partial regularity for Double Phase obstacle problems
Filomena De Filippis, Antonella Nastasi, Cintia Pacchiano Camacho
We investigate partial regularity for vector valued local minimizers of double phase functionals, under vectorial obstacle type constraints satisfying appropriate topological prope…