Results 91 to 100 of about 1,599 (218)

On isoperimetric inequality in Arakelov geometry

, 2015
We establish an isoperimetric inequality in an integral form and deduce a strong Brunn-Minkowski inequality in the Arakelov geometry setting.
Chen, Huayi
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Thermodynamic volume of cosmological solitons

Physics Letters B, 2017
We present explicit expressions of the thermodynamic volume inside and outside the cosmological horizon of Eguchi–Hanson solitons in general odd dimensions.
Saoussen Mbarek, Robert B. Mann
doaj   +1 more source

Shape of extremal functions for weighted Sobolev-type inequalities

Advances in Nonlinear Analysis
We study the shape of solutions to certain variational problems in Sobolev spaces with weights that are powers of ∣x∣| x| . In particular, we detect situations when the extremal functions lack symmetry properties such as radial symmetry and antisymmetry.
Brock Friedemann, Chiacchio Francesco, Croce Gisella, Mercaldo Anna   +3 more
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Thermodynamics of Rotating Black Holes and Black Rings: Phase Transitions and Thermodynamic Volume

Galaxies, 2014
In this review we summarize, expand, and set in context recent developments on the thermodynamics of black holes in extended phase space, where the cosmological constant is interpreted as thermodynamic pressure and treated as a thermodynamic variable in ...
Natacha Altamirano, David Kubizňák, Robert B. Mann, Zeinab Sherkatghanad   +3 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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The isoperimetric inequality in Rⁿ

, 2011
This thesis presents a complete proof of the isoperimetric inequality for a smooth surface in Euclidean space. The proof uses the Brunn-Minkowski Inequality, the formulae for the first variations of area and Alexandrov’s theorem.Science, Faculty ...
Ross, Carol
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A sharp quantitative isoperimetric inequality in higher codimension

, 2015
We establish the validity of a quantitative isoperimetric inequality in higher codimension. To be precise we show for any closed (n-1)-dimensional manifold Γ in R^{n+k} that the quantitative isoperimetric inequality
FUSCO, NICOLA, F. Duzaar, V. Bögelein
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Weighted quantitative isoperimetric inequalities in the Grushin space R h + 1 ${R}^{h+1}$ with density | x | p $|x|^{p}$

Journal of Inequalities and Applications, 2017
In this paper, we prove weighted quantitative isoperimetric inequalities for the set E α = { ( x , y ) ∈ R h + 1 : | y | < ∫ arcsin | x | π 2 sin α + 1 ( t ) d t , | x | < 1 } $E_{\alpha}= \{(x,y)\in {R}^{h+1}: \vert y \vert
Guoqing He, Peibiao Zhao
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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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The Sharp Quantitative Isoperimetric Inequality

, 2006
A quantitative sharp form of the classical isoperimetric inequality is proved, thus giving a positive answer to a conjecture by ...
Pratelli, Aldo, Maggi, Francesco, Fusco, Nicola   +2 more
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