In the Heisenberg group H^n we prove quantitative isoperimetric inequalities for Pansu's spheres, that are known to be isoperimetric under various assumptions. The inequalities are shown for suitably restricted classes of competing sets and the proof relies on the construction of sub-calibrations.
Quantitative isoperimetric inequalities in H^n / Franceschi, Valentina; Leonardi, Gian Paolo; Monti, Roberto. - In: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0944-2669. - ELETTRONICO. - 54:3(2015), pp. 3229-3239. [10.1007/s00526-015-0899-x]
Quantitative isoperimetric inequalities in H^n
Leonardi Gian Paolo;
2015-01-01
Abstract
In the Heisenberg group H^n we prove quantitative isoperimetric inequalities for Pansu's spheres, that are known to be isoperimetric under various assumptions. The inequalities are shown for suitably restricted classes of competing sets and the proof relies on the construction of sub-calibrations.File in questo prodotto:
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