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arXiv · 1112.0122

A representation formula for the p-Energy of metric space valued Sobolev maps

Philippe Logaritsch·Emanuele Spadaro
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Abstract

We give an explicit representation formula for the p-energy of Sobolev maps with values in a metric space as defined by Korevaar and Schoen (Comm. Anal. Geom. 1 (1993), no.~3-4, 561--659). The formula is written in terms of the Lipschitz compositions introduced by Ambrosio (Ann. Scuola Norm. Sup. Pisa Cl. Sci.(4) 3 (1990), n.17, 439--478), thus further relating the two different definitions considered in the literature.

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Philippe Logaritsch, Emanuele Spadaro. 2011-12-01. A representation formula for the p-Energy of metric space valued Sobolev maps. https://arxiv.org/abs/1112.0122

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