Results 101 to 110 of about 1,372 (214)
Isoperimetric Inequalities on Surfaces of Constant Curvature
, 1997 In this paper we introduce the concepts of hyperbolic and elliptic areas and prove uncountably many new geometric isoperimetric inequalities on the surfaces of constant curvature.
Hsu-Tung Ku, Mei-Chin Ku, Xin-Min Zhang
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Reverse affine isoperimetric inequalities
, 2012 Die klassische isoperimetrische Ungleichung besagt, dass unter konvexen Körpern gegebenen Volumens genau die Euklidischen Kugeln die Oberfläche minimieren.
Weberndorfer, Manuel
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Torsional rigidity on compact Riemannian manifolds with lower Ricci curvature bounds
Open Mathematics, 2015 In this article we prove a reverse Hölder inequality for the fundamental eigenfunction of the Dirichlet problem on domains of a compact Riemannian manifold with lower Ricci curvature bounds.
Gamara Najoua +2 more
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Weighted isoperimetric inequalities in cones and applications.
, 2012 This paper deals with weighted isoperimetric inequalities relative to cones of R^N . We study the structure of measures that admit as an isoperimetric set the intersection of a cone with the ball centered at the vertex of the cone.
CHIACCHIO, FRANCESCO +5 more
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Isoperimetric Inequalities in Normed Planes
, 2020 The classical isoperimetric inequality can be extended to a general normed plane. In the Euclidean plane, the defect in the isoperimetric inequality can be calculated in terms of the signed areas of some singular sets. In this paper we consider normed planes with smooth by parts unit balls and the corresponding class of admissible curves.
dos Santos, Rafael S., Craizer, Marcos
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Discrete isoperimetric and Poincare-type inequalities
, 1999 Bobkov SG, Götze F. Discrete isoperimetric and Poincare-type inequalities. PROBABILITY THEORY AND RELATED FIELDS. 1999;114(2):245-277.We study some discrete isoperimetric and Poincare-type inequalities for product probability measures mu(n) on the ...
Bobkov, SG, Götze, Friedrich
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On measure concentration in graph products
Lietuvos Matematikos Rinkinys, 2009 Bollobás and Leader [1] showed that among the n-fold products of connected graphs of order k the one with minimal t-boundary is the grid graph. Given any product graph G and a set A of its vertices that contains at least half of V (G), the number of ...
Matas Šileikis
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An inequality related to the isoperimetric inequality [PDF]
Bulletin of the American Mathematical Society, 1949 Loomis, L. H., Whitney, H.
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Isoperimetric Inequalities in Carnot Groups
, 2012 The isoperimetric problem is a very classical problem whose history dates back to more than two thousand years ago. Roughly speaking, the isoperimetric problem is to determine the largest possible area enclosed by a closed curve which has a specified ...
Liming Wang (114648)
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New Lp affine isoperimetric inequalities
, 2008 We prove new Lp affine isoperimetric inequalities for all p∈[−∞,1). We establish, for all p≠−n, a duality formula which shows that Lp affine surface area of a convex body K equals Ln2p affine surface area of the polar body K○
Ye, Deping, Werner, Elisabeth
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