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.
Isoperimetric problem in H-type groups and Grushin spaces
FRANCESCHI, VALENTINA;MONTI, ROBERTO
2016
Abstract
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.
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