2 citations · 6 across the 5 of their papers we have counts for
10 papers
Embeddedness of liquid-vapour interfaces in stable equilibrium
Costante Bellettini
We consider a classical (capillary) model for a one-phase liquid in equilibrium. The liquid (e.g. water) is subject to a volume constraint, it does not mix with the surrounding vap…
Generic existence of multiplicity-1 minmax minimal hypersurfaces via Allen--Cahn
Costante Bellettini
In Guaraco's 2018 work a new proof was given of the existence of a closed minimal hypersurface in a compact Riemannian manifold with . This was achieved by emplo…
The inhomogeneous Allen--Cahn equation and the existence of prescribed-mean-curvature hypersurfaces
Costante Bellettini, Neshan Wickramasekera
We prove that for any given compact Riemannian manifold of dimension and any non-negative Lipschitz function on , there exists a quasi-embedded, boundaryles…
Multiplicity-1 minmax minimal hypersurfaces in manifolds with positive Ricci curvature
Costante Bellettini
We address the one-parameter minmax construction, via Allen--Cahn energy, that has recently lead to a new proof of the existence of a closed minimal hypersurface in an arbitrary co…
Sets with constant normal in Carnot groups: properties and examples
Costante Bellettini, Enrico Le Donne
We analyze subsets of Carnot groups that have intrinsic constant normal, as they appear in the blowup study of sets that have finite sub-Riemannian perimeter. The purpose of this p…
Stable prescribed-mean-curvature integral varifolds of codimension 1: regularity and compactness
Costante Bellettini, Neshan Wickramasekera
In a previous paper we developed a regularity and compactness theory in Euclidean ambient spaces for codimension 1 weakly stable CMC integral varifolds satisfying two (necessary) s…