We give an explicit representation formula for the p-energy of Sobolev maps with values in a metric space as defined by Koreva ar and Schoen (Comm. Anal. Geom. 1 (1993), no. 3-4, 561–659). The formula is written in terms of the Lipschitz compositions ntroduced 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
A representation formula for the p-energy of metric space-valued sobolev maps / Logaritsch, Philippe; Spadaro, EMANUELE NUNZIO. - In: COMMUNICATIONS IN CONTEMPORARY MATHEMATICS. - ISSN 0219-1997. - 14:6(2012). [10.1142/S0219199712500435]
A representation formula for the p-energy of metric space-valued sobolev maps
Emanuele Spadaro
2012
Abstract
We give an explicit representation formula for the p-energy of Sobolev maps with values in a metric space as defined by Koreva ar and Schoen (Comm. Anal. Geom. 1 (1993), no. 3-4, 561–659). The formula is written in terms of the Lipschitz compositions ntroduced 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| File | Dimensione | Formato | |
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