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math.OC2025
Ahlfors-regularity for minimizers of a multiphase optimal design problem
Luca Esposito, Lorenzo Lamberti, Giovanni Pisante
We establish an Alhfors-regularity result for minimizers of a multiphase optimal design problem. It is a variant of the classical variational problem which involves a finite number…
math.OC2024
Regularity results for almost-minimizers of anisotropic free interface problem with Hölder dependence on the position
Luca Esposito, Lorenzo Lamberti, Giovanni Pisante
We establish regularity results for almost-minimizers of a class of variational problems involving both bulk and interface energies. The bulk energy is of Dirichlet type. The surfa…