4 papers · 1 filter
Good access to the crack and integrability of the full gradient for Griffith almost-minimizers in the plane
Camille Labourie, Lorenzo Lamberti, Antoine Lemenant
We show that, for almost-minimizers of the Griffith energy in the plane, the complement of the crack is locally covered by a finite number of John domains where the displacement sa…
Morrey estimates for the gradient in non-linear variational transmission problems
Luca Esposito, Lorenzo Lamberti
We study a class of variational transmission problems driven by nonlinear energies with discontinuous coefficients across a prescribed interface. The model setting consists of inte…
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…
Regularity Results for a free interface problem with Hölder coefficients
Luca Esposito, Lorenzo Lamberti
We study a class of variational problems involving both bulk and interface energies. The bulk energy is of Dirichlet type albeit of very general form allowing the dependence from t…