Submitted Paper
Inserted: 14 nov 2011
Last Updated: 14 nov 2012
Year: 2011
Abstract:
We compare several notion of weak (modulus of) gradient in metric measure spaces. Using tools from optimal transportation theory we prove density in energy of Lipschitz maps independenly of doubling and Poincar\'e assumptions on the metric measure space.
Tags:
GeMeThNES
Keywords:
Upper gradient, Generalized gradient, Metric Sobolev spaces
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