4 papers
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 an…
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 sect…
Continuity of critical points for 1-dimensional non-local energies
Davide Carazzato, Nicola Fusco, Aldo Pratelli
In this paper we deal with the bounded critical points of a Riesz energy of attractive-repulsive type in dimension 1. Under suitable assumptions on the growth of the kernel in the…
Consistency for the surface diffusion flat flow in three dimensions
Marco Cicalese, Nicola Fusco, Vesa Julin +1
We investigate the flat flow solution for the surface diffusion equation via the discrete minimizing movements scheme proposed by Cahn and Taylor. We prove that in dimension three…