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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.AP2025
Finsler -Laplacian in domains becoming unbounded
Luca Esposito, Lorenzo Lamberti, Dattatreya N. N. +1
We study the asymptotic behavior of sequences of solutions, energies functionals, and the first eigenvalues associated with the Finsler -Laplace operator, also known as the anis…
math.OC2025
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…