In this paper we give an example of a singular set with finite perimeter in the plane which is a subgraph with variational curvature in Ln(ℝn). This is a extension to the class of graphs of a well celebrated example suggested by De Giorgi, where the boundary of the set was the union of two spiral curves. © 2013 Università degli Studi di Ferrara.
On sets with variational mean curvature in Ln(ℝn)
MASSARI, Umberto
2013
Abstract
In this paper we give an example of a singular set with finite perimeter in the plane which is a subgraph with variational curvature in Ln(ℝn). This is a extension to the class of graphs of a well celebrated example suggested by De Giorgi, where the boundary of the set was the union of two spiral curves. © 2013 Università degli Studi di Ferrara.File in questo prodotto:
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