Results 31 to 40 of about 363,583 (199)
Analytic inequalities, isoperimetric inequalities and logarithmic Sobolev inequalities [PDF]
, 1985 There is a simple equivalence between isoperimetric inequalities in Riemannian manifolds and certain analytic inequalities on the same manifold, more extensive than the familiar equivalence of the classical isoperimetric inequality in Euclidean space and
Rothaus, O.S
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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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Dual Lp-Mixed Geominimal Surface Area and Related Inequalities
Journal of Function Spaces, 2016 The integral formula of dual Lp-geominimal surface area is given and the concept of dual Lp-geominimal surface area is extended to dual Lp-mixed geominimal surface area. Properties for the dual Lp-mixed geominimal surface areas are established.
Tongyi Ma, Yibin Feng
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Edge isoperimetric inequalities for product graphs [PDF]
, 2000 It is well known that there is a simple equivalence between isoperimetric inequalities and certain analytic inequalities in Riemannian manifolds (see Rothaus, J. Funct. Anal. 64 (1985) 296–313).
Tillich, Jean-Pierre +1 more
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Holography, probe branes and isoperimetric inequalities
Physics Letters B, 2015 In many instances of holographic correspondences between a d-dimensional boundary theory and a (d+1)-dimensional bulk, a direct argument in the boundary theory implies that there must exist a simple and precise relation between the Euclidean on-shell ...
Frank Ferrari, Antonin Rovai
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Isoperimetric and Brunn-Minkowski inequalities for the (p, q)-mixed geominimal surface areas
Open Mathematics, 2022 Motivated by the celebrated work of Lutwak, Yang and Zhang [1] on (p,q)\left(p,q)-mixed volumes and that of Feng and He [2] on (p,q)\left(p,q)-mixed geominimal surface areas, we in the present paper establish and confirm the affine isoperimetric and ...
Zhang Juan, Wang Weidong, Zhao Peibiao
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Isoperimetric inequalities in simplicial complexes [PDF]
Combinatorica, 2015 In graph theory there are intimate connections between the expansion properties of a graph and the spectrum of its Laplacian. In this paper we define a notion of combinatorial expansion for simplicial complexes of general dimension, and prove that similar connections exist between the combinatorial expansion of a complex, and the spectrum of the high ...
Ori Parzanchevski +2 more
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Bonnesen-style symmetric mixed inequalities
Journal of Inequalities and Applications, 2016 In this paper, we investigate the symmetric mixed isoperimetric deficit Δ 2 ( K 0 , K 1 ) $\Delta_{2}(K_{0},K_{1})$ of domains K 0 $K_{0}$ and K 1 $K_{1}$ in the Euclidean plane R 2 $\mathbb{R}^{2}$ .
Pengfu Wang, Miao Luo, Jiazu Zhou
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Extension of two inequalities of payne
Journal of Inequalities and Applications, 1997 In this note isoperimetric bounds are derived for the maximum of the solution to the Poisson problem for a plane domain. This extends previous bounds of Payne valid for the torsion problem.
Sperb R
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Estimates for capacities and traces of potentials
International Journal of Mathematics and Mathematical Sciences, 1984 It is shown that isoperimetric inequalities, relating measures and capacities, hold for all sets in ℝn if they are valid for all balls. As a corollary, the necessary and sufficient conditions for the continuity of some imbeddings of M. Riesz and Bessel
V. G. Maz'ja, S. P. Preobrazenskii
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