JournalsrmiVol. 32, No. 4pp. 1227–1258

Isoperimetric problem in -type groups and Grushin spaces

  • Valentina Franceschi

    Università di Padova, Italy

  • Roberto Monti

    Università di Padova, Italy
Isoperimetric problem in $H$-type groups and Grushin spaces cover
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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