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math.AP2025
The isoperimetric inequality for the capillary energy outside convex sets
N. Fusco, V. Julin, M. Morini +1
We study the isoperimetric problem for capillary hypersurfaces with a general contact angle , outside arbitrary convex sets. We prove that the capillary energy of any…
math.AP2024
The isoperimetric inequality for the capillary energy outside convex cylinders
Nicola Fusco, Vesa Julin, Massimiliano Morini
We study the isoperimetric problem for capillary surfaces with a general contact angle , outside convex infinite cylinders with arbitrary two-dimensional convex sectio…
math.AP2022
Regularity of capillarity droplets with obstacle
Guido De Philippis, Nicola Fusco, Massimiliano Morini
In this paper we study the regularity properties of -minimizers of the capillarity energy in a half space with the wet part constrained to be confined inside a given planar regi…