Isoperimetric problem in -type groups and Grushin spaces
Valentina Franceschi
Università di Padova, ItalyRoberto Monti
Università di Padova, Italy
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Abstract
We study the isoperimetric problem in -type groups and Grushin spaces, emphasizing a relation between them. Under a symmetry assumption that depends on the dimension, we prove existence, additional symmetry, and regularity properties of isoperimetric sets.
Cite this article
Valentina Franceschi, Roberto Monti, Isoperimetric problem in -type groups and Grushin spaces. Rev. Mat. Iberoam. 32 (2016), no. 4, pp. 1227–1258
DOI 10.4171/RMI/914