Special Session 56: Variational methods for nonlinear PDEs

A nonlocal capillarity theory

Enrico Valdinoci
University of Western Australia
Australia
Co-Author(s):    Alessandra De Luca, Serena Dipierro, Francesco Maggi
Abstract:
We describe some recent results motivated by a new nonlocal theory of capillarity, as related to the formation of droplets due to long-range interaction potentials. We will discuss the notion of contact angle in this setting, considering a nonlocal version of the classical Young`s Law, together with some regularity properties and asymptotics. We will also present the case of anisotropic media and general interaction kernels.