Results 101 to 110 of about 1,599 (218)
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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Relative Isoperimetric Inequality for Domains Outside a Convex Set
Given a convex set C R and a set D R C, the inequality is called the relative isoperimetric inequality. We prove this inequality in three cases: i) when C and D are symmetric about n 1 mutually orthogonal vertical hyperplanes and @D ...
The Inequality +2 more
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The Isoperimetric Inequality: Proofs by Convex and Differential Geometry
, 2020 The Isoperimetric Inequality has many different proofs using methods from diverse mathematical fields. In the paper, two methods to prove this inequality will be shown and compared.
Gehring, Penelope
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A strong form of the quantitative isoperimetric inequality
, 2014 . We give a refinement of the quantitative isoperimetric inequality. We prove that the isoperimetric gap controls not only the Fraenkel asymmetry but also the oscillation of the ...
Nicola Fusco +3 more
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Isoperimetric inequality fortorsional rigidity in the complex plane
Journal of Inequalities and Applications, 2001 Suppose SZ is a simply connected domain in the complex plane. In (F.G. Avhadiev, Matem. Sborn., 189(12) (1998), 3–12 (Russian)), Avhadiev introduced new geometrical functionals, which give two-sided estimates for the torsional rigidity of .
Salahudinov RG
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A weighted isoperimetric inequality and applications to symmetrization
Journal of Inequalities and Applications, 1999 We prove an inequality of the form , where is a bounded domain in with smooth boundary, is a ball centered in the origin having the same measure as . From this we derive inequalities comparing a weighted Sobolev norm of a given function with the norm
Brock F +3 more
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On the stability of Almgren's isoperimetric inequality
, 2013 We establish a quantitative isoperimetric inequality in higher codimension. In particular, we prove that for any closed (n-1)-dimensional manifold \Gamma in \R^{n+k} the following inequality $$D(\Gamma)\ge C d^2(\Gamma)$$ holds true.
FUSCO, NICOLA
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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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Space-time integral currents of bounded variation. [PDF]
Calc Var Partial Differ Equ, 2023 Rindler F.
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On the existence of isoperimetric regions in manifolds with nonnegative Ricci curvature and Euclidean volume growth. [PDF]
Calc Var Partial Differ Equ, 2022 Antonelli G +3 more
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