# On sets minimizing their weighted length in uniformly convex separable Banach spaces

created by lemenant on 01 Nov 2013
modified on 08 Nov 2013

[BibTeX]

Submitted Paper

Inserted: 1 nov 2013
Last Updated: 8 nov 2013

Year: 2013

Abstract:

We study existence and partial regularity relative to the weighted Steiner problem in Banach spaces. We show $C^1$ regularity almost everywhere for almost minimizing sets in uniformly rotund Banach spaces whose modulus of uniform convexity verifies a Dini growth condition.