Results 181 to 190 of about 520,398 (211)
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An Isoperimetric Inequality for Tetrahedra
Canadian Mathematical Bulletin, 1966Let T be a tetrahedron and let V(T) and L(T) denote its volume and the sum of its edge-lengths. In this note we prove Theorem 1. with equality if and only if the tetrahedron T is regular.
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Relative isoperimetric inequality and¶linear isoperimetric inequality for minimal submanifolds
manuscripta mathematica, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Stability of the Isoperimetric Inequality
2017These lecture notes contain the material that I presented in two summer courses in 2013, one at the Carnegie Mellon University and the other one in a CIME school at Cetraro. The aim of both courses was to give a quick but comprehensive introduction to some recent results on the stability of the isoperimetric inequality.
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Resonance, 2002
A new proof (due to X Cabre) of the classical isoperimetric theorem, based on Alexandrov’s idea of moving planes, will be presented. Compared to the usual proofs, which use geometric measure theory, this proof will be based on elementary ideas from calculus and partial differential equations (Laplace equation).
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A new proof (due to X Cabre) of the classical isoperimetric theorem, based on Alexandrov’s idea of moving planes, will be presented. Compared to the usual proofs, which use geometric measure theory, this proof will be based on elementary ideas from calculus and partial differential equations (Laplace equation).
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A Semigroup Version of the Isoperimetric Inequality
Semigroup Forum, 2004The isoperimetric inequality in \({\mathbb R}^n\) states the following principle. Let \(A\), \(B\) be subsets of \({\mathbb R}^n\) with the same volume, \(B\) a Euclidean ball and denote by \(| {\partial}A|\), \(| {\partial}B|\) the respective measure of the surfaces \({\partial}A\) and \({\partial}B\).
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Some Weighted Isoperimetric Inequalities in Quantitative Form
Journal of Functional Analysis, 2023Nicola Fusco, Domenico Angelo la Manna
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A Mass Transportation Approach to Quantitative Isoperimetric Inequalities
Inventiones Mathematicae, 2010Aldo Pratelli +2 more
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A Quantitative Isoperimetric Inequality for Fractional Perimeters
Journal of Functional Analysis, 2011Massimiliano Morini +2 more
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The Isoperimetric Inequality on the Sphere
American Journal of Mathematics, 1935openaire +1 more source