Nonlocal capillarity for anisotropic kernels

Alessandra De Luca, Serena Dipierro, Enrico Valdinoci

Research output: Contribution to journalArticlepeer-review


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 s1, s2∈ (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.

Original languageEnglish
Pages (from-to)3785-3846
Number of pages62
JournalMathematische Annalen
Issue number4
Early online date27 Apr 2023
Publication statusPublished - Apr 2024


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