135 citations · 246 across the 20 of their papers we have counts for
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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…
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…
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…
A remark on a conjecture on the symmetric Gaussian Problem
Nicola Fusco, Domenico Angelo La Manna
In this paper we study the functional given by the integral of the mean curvature of a convex set with Gaussian weight with Gaussian volume constraint. It was conjectured that the…
Stability for the Surface Diffusion Flow
Antonia Diana, Nicola Fusco, Carlo Mantegazza
We study the global existence and stability of surface diffusion flow (the normal velocity is given by the Laplacian of the mean curvature) of smooth boundaries of subsets of the $…
Some weighted isoperimetric inequalities in quantitative form
Nicola Fusco, Domenico Angelo La Manna
In this paper we study two different weighted isoperimetric inequalities. In the first part of the paper we prove a sharp stability result for the isoperimetric inequality with a l…