Calculus of Variations and Geometric Measure Theory

V. Franceschi - R. Monti

Isoperimetric Problem in H-type groups and Grushin spaces

created by monti on 19 Nov 2014
modified by franceschi on 14 Jul 2016


Accepted Paper

Inserted: 19 nov 2014
Last Updated: 14 jul 2016

Journal: Revista Matemática Iberoabericana
Year: 2014


We study the isoperimetric problem in $H$-type groups and Grushin spaces, emphasizing a relation between them. We prove existence, symmetry and regularity properties of isoperimetric sets, under a symmetry assumption that depends on the dimension.