Preprint
Inserted: 28 jun 2016
Last Updated: 25 apr 2018
Journal: Comm. PDE
Year: 2017
Notes:
37 pages, 4 figures
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.
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