Epsilon-regularity for almost-minimizers of anisotropic free interface problem with Hölder dependence on the position
L Esposito, L Lamberti, G Pisante - Interfaces and Free Boundaries, 2024 - ems.press
We establish an"-regularity result for almost-minimizers of a class of variational problems
involving both bulk and interface energies. The bulk energy is of Dirichlet type. The surface …
involving both bulk and interface energies. The bulk energy is of Dirichlet type. The surface …
Integral representation for a relaxed optimal design problem for non-simple grade two materials
AC Barroso, E Zappale - arxiv preprint arxiv:2412.16027, 2024 - arxiv.org
A measure representation result for a functional modelling optimal design problems for
plastic deformations, under linear growth conditions, is obtained. Departing from an energy …
plastic deformations, under linear growth conditions, is obtained. Departing from an energy …
Regularity results for an optimal design problem with quasiconvex bulk energies
Regularity results for equilibrium configurations of variational problems involving both bulk
and surface energies are established. The bulk energy densities are uniformly strictly …
and surface energies are established. The bulk energy densities are uniformly strictly …
Regularity results for almost-minimizers of anisotropic free interface problem with H\" older dependence on the position
L Esposito, L Lamberti, G Pisante - arxiv preprint arxiv:2404.02086, 2024 - arxiv.org
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 surface …
involving both bulk and interface energies. The bulk energy is of Dirichlet type. The surface …
Quasiconvex Bulk and Surface Energies with subquadratic growth
M Carozza, L Esposito, L Lamberti - arxiv preprint arxiv:2501.07307, 2025 - arxiv.org
We establish partial H\" older continuity of the gradient for equilibrium configurations of
vectorial multidimensional variational problems, involving bulk and surface energies. The …
vectorial multidimensional variational problems, involving bulk and surface energies. The …
Quasiconvex bulk and surface energies: C1,α regularity
M Carozza, L Esposito, L Lamberti - Advances in Nonlinear Analysis, 2024 - degruyter.com
We establish regularity results for equilibrium configurations of vectorial multidimensional
variational problems, involving bulk and surface energies. The bulk energy densities are …
variational problems, involving bulk and surface energies. The bulk energy densities are …