Tangent Halfspaces to Sets of Finite Perimeter in Carnot Groups View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

2009

AUTHORS

Luigi Ambrosio

ABSTRACT

We consider sets of locally finite perimeter in Carnot groups. We show that if E is a set of locally finite perimeter in a Carnot group G then, for almost every x ∈ G with respect to the perimeter measure of E, some tangent of E at x is a vertical halfspace. This is a partial extension of a theorem of Franchi-Serapioni-Serra Cassano in step 2 Carnot groups. More... »

PAGES

1-16

Book

TITLE

Advances in Phase Space Analysis of Partial Differential Equations

ISBN

978-0-8176-4860-2
978-0-8176-4861-9

Author Affiliations

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-0-8176-4861-9_1

DOI

http://dx.doi.org/10.1007/978-0-8176-4861-9_1

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1049815755


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