Capillarity problems with nonlocal surface tension energies

F. Maggi, E. Valdinoci

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

We explore the possibility of modifying the classical Gauss free energy functional used in capillarity theory by considering surface tension energies of nonlocal type. The corresponding variational principles lead to new equilibrium conditions which are compared to the mean curvature equation and Young’s law found in classical capillarity theory. As a special case of this family of problems we recover a nonlocal relative isoperimetric problem of geometric interest.
Original languageEnglish
Pages (from-to)1403-1446
Number of pages44
JournalCommunications in Partial Differential Equations
Volume42
Issue number9
DOIs
Publication statusPublished - 2017
Externally publishedYes

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