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math.AP2022
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…
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…