A note on the isoperimetric inequality

Jani Onninen

doi:10.1090/S0002-9939-03-06998-3

A note on the isoperimetric inequality

Jani Onninen

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

We show that the sharp integral form on the isoperimetric inequality holds for those orientation-preserving mappings f ∈ W_loc ^n2/n+1 (Ω, ℝⁿ whose Jacobians obey the rule of integration by parts.

Original language	English (US)
Pages (from-to)	3821-3825
Number of pages	5
Journal	Proceedings of the American Mathematical Society
Volume	131
Issue number	12
DOIs	https://doi.org/10.1090/S0002-9939-03-06998-3
State	Published - Dec 2003
Externally published	Yes

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/S0002-9939-03-06998-3

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abstract = "We show that the sharp integral form on the isoperimetric inequality holds for those orientation-preserving mappings f ∈ Wloc n2/n+1 (Ω, ℝn whose Jacobians obey the rule of integration by parts.",

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A note on the isoperimetric inequality

Abstract

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