Isoperimetric problem in H-type groups and Grushin spaces

• Valentina Franceschi ^[1] ; Roberto Monti ^[1]
  1. [1] Università di Padova
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 32, Nº 4, 2016, págs. 1227-1258
• Idioma: inglés
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• Resumen

  • We study the isoperimetric problem in H-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.