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- W2051661277 abstract "We prove sharp quantitative isoperimetric inequalities for John domains in Rn. We show that the Bonnesen-style inequalities hold true in Rn under the John domain assumption which rules out cusps. Our main tool is a proof of the isoperimetric inequality for symmetric domains which gives an explicit estimate for the isoperimetric deficit. We use the sharp quantitative inequalities proved in Fusco et al. (2008) [7] and Fuglede (1989) [4] to reduce our problem to symmetric domains." @default.
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- W2051661277 date "2012-12-01" @default.
- W2051661277 modified "2023-09-26" @default.
- W2051661277 title "Bonnesenʼs inequality for John domains in <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.gif overflow=scroll><mml:msup><mml:mrow><mml:mi mathvariant=double-struck>R</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msup></mml:math>" @default.
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- W2051661277 doi "https://doi.org/10.1016/j.jfa.2012.09.004" @default.
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