Results 91 to 100 of about 469,360 (206)

An inequality related to the isoperimetric inequality [PDF]

Bulletin of the American Mathematical Society, 1949
Loomis, L. H., Whitney, H.
openaire   +4 more sources

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
doaj   +1 more source

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
doaj   +1 more source

An isoperimetric inequality involving conformal mapping

, 1977
An isoperimetric inequality due to L. Bieberbach is generalized to the case of weighted areas.
Andrew Acker
core   +1 more source

On the quantitative isoperimetric inequality in R^N

, 2023
A proof of the quantitative isoperimetric inequality via Selection Principle is provided, taking into consideration the work of M. Cicalese and G.P. Leonardi.
GAMBICCHIA, CHIARA
core  

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
doaj   +1 more source

Isoperimetric Functions of Finitely Generated Nilpotent Groups

, 1998
We show that the isoperimetric function of a finitely generated nilpotent group of class c is bounded above by a polynomial of degree ...
Isoperimetric Functions, Christian Hidber   +1 more
core  

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.
doaj   +1 more source

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, Jaigyoung Choe, A Set D R   +2 more
core  

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
core   +1 more source