Published Paper

Inserted: 9 sep 2024
Last Updated: 9 sep 2024

Journal: Mathematische Annalen
Year: 2023
Doi: https://doi.org/10.1007/s00208-023-02623-9

Abstract:

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 invariance will be modeled via two different fractional exponents $s_1, s_2\in (0,1)$ which take into account the possibility that the container and the environment present different features with respect to particle interactions. We determine a nonlocal Young's law for the contact angle and discuss the unique solvability of the corresponding equation in terms of the interaction kernels and of the relative adhesion coefficient.