We compute a first- and second-variation formula for the area of H-rectifiable sets in the Heisenberg group along a contact flow. In particular, the formula holds for sets with locally finite H-perimeter, with no further regularity.

Variation formulas for H-rectifiable sets

FOGAGNOLO, MATTIA;MONTI, ROBERTO;VITTONE, DAVIDE
2017

Abstract

We compute a first- and second-variation formula for the area of H-rectifiable sets in the Heisenberg group along a contact flow. In particular, the formula holds for sets with locally finite H-perimeter, with no further regularity.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11577/3217108
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