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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…
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…
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…