1 citations · 1 across the 9 of their papers we have counts for
9 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 any…
A sharp quantitative Alexandrov inequality and applications to volume preserving geometric flows in 3D
Vesa Julin, Massimiliano Morini, Francesca Oronzio +1
We study the asymptotic behavior of the volume preserving mean curvature and the Mullins-Sekerka flat flow in three dimensional space. Motivated by this we establish a 3D sharp qua…
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…
Rigidity and large volume residues in exterior isoperimetry for convex sets
Nicola Fusco, Francesco Maggi, Massimiliano Morini +1
A comparison theorem by Choe, Ghomi and Ritoré states that the exterior isoperimetric profile of any convex body in lies above that of…
Parabolic -Riesz flows and limit cases ,
Lucia De Luca, Massimiliano Morini, Marcello Ponsiglione +1
In this paper we introduce the notion of parabolic -Riesz flow, for , extending the notion of -fractional heat flows to negative values of the parameter $s=-\fracα…
Minimizing Movements for Anisotropic and Inhomogeneous Mean Curvature Flows
Antonin Chambolle, Daniele De Gennaro, Massimiliano Morini
In this paper we address anisotropic and inhomogeneous mean curvature flows with forcing and mobility, and show that the minimizing movements scheme converges to level set/viscosit…
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…
The Asymptotics of the Area-Preserving Mean Curvature and the Mullins-Sekerka Flow in Two Dimensions
Vesa Julin, Massimiliano Morini, Marcello Ponsiglione +1
We provide the first general result for the asymptotics of the area preserving mean curvature flow in two dimensions showing that flat flow solutions, starting from any bounded set…
Total positive curvature and the equality case in the relative isoperimetric inequality outside convex domains
Nicola Fusco, Massimiliano Morini
We settle the case of equality for the relative isoperimetric inequality outside any arbitrary convex set with not empty interior.