Results 91 to 100 of about 520,398 (211)
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 +2 more
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Shape of extremal functions for weighted Sobolev-type inequalities
Advances in Nonlinear AnalysisWe 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 +3 more
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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
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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 +3 more
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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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The isoperimetric inequality for nonsimple closed curves
, 1993 The main purpose of this paper is the generalization to the hyperbolic and elliptic spaces of the isoperimetric inequality of Banchoff and Pohl (J. Differential Geom. 6 (1971), 175-192).
Liliana M. Gysin
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Three proofs of the Isoperimetric Inequality in Euclidean space
This thesis presents and compares three different proofs of the isoperimetric inequality, which states that the volume of a bounded region can not exceed its boundary area times a constant.
Enstedt, Filip
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Two bounds on the noncommuting graph
Open Mathematics, 2015 Erdős introduced the noncommuting graph in order to study the number of commuting elements in a finite group. Despite the use of combinatorial ideas, his methods involved several techniques of classical analysis.
Nardulli Stefano, Russo Francesco G.
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Reverse isoperimetry from boundary–completed canonical energy
Physics Letters BThe reverse isoperimetric conjecture states that, at fixed thermodynamic volume, Schwarzschild–AdS black holes maximize entropy. We show that its local fixed-volume form admits a boundary-completed canonical-energy interpretation.
Naman Kumar
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The sharp quantitative barycentric isoperimetric inequality for bounded sets [PDF]
We prove the sharp quantitative isoperimetric inequality in the case of the barycentric asymmetry, for bounded sets. This generalizes the $2$-D case recently proved in~\cite{BCH}
Gambicchia, Chiara, Pratelli, Aldo
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