2 papers
math.AP2022
Nonlocal capillarity for anisotropic kernels
Alessandra De Luca, Serena Dipierro, Enrico Valdinoci
We study a nonlocal capillarity problem with interaction kernels that are possibly anisotropic and not necessarily invariant under scaling. In particular, the lack of scale invaria…
math.AP2020
Unique continuation from the edge of a crack
Alessandra De Luca, Veronica Felli
In this work we develop an Almgren type monotonicity formula for a class of elliptic equations in a domain with a crack, in the presence of potentials satisfying either a negligibi…