4 papers · 1 filter
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…
Quantitative regularity properties for the optimal design problem
Lorenzo Lamberti, Antoine Lemenant
In this paper we slightly improve the regularity theory for the so called optimal design problem. We first establish the uniform rectifiability of the boundary of the optimal set,…
Quasiconvex Bulk and Surface Energies with subquadratic growth
Menita Carozza, Luca Esposito, Lorenzo Lamberti
We establish partial Hölder continuity of the gradient for equilibrium configurations of vectorial multidimensional variational problems, involving bulk and surface energies. The b…
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…