Results 1 to 10 of about 1,599 (218)

Bonnesen-style Wulff isoperimetric inequality [PDF]

Journal of Inequalities and Applications, 2017
The Wulff isoperimetric inequality is a natural extension of the classical isoperimetric inequality (Green and Osher in Asian J. Math. 3:659-676 1999). In this paper, we establish some Bonnesen-style Wulff isoperimetric inequalities and reverse Bonnesen ...
Zengle Zhang, Jiazu Zhou
doaj   +3 more sources

Isoperimetric Inequalities Made Simpler

Discrete Analysis
Isoperimetric inequalities made simpler, Discrete Analysis 2025:7, 23 pp. The famous isoperimetric inequality in the plane states that of all (sufficiently nice) shapes with a given volume, the one with the smallest boundary length is a circle.
Ronen Eldan, Guy Kindler, Noam Lifshitz, Dor Minzer   +3 more
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Bonnesen-style inequalities on surfaces of constant curvature [PDF]

Journal of Inequalities and Applications, 2018
In this paper, some Bonnesen-style inequalities on a surface Xκ $\mathbb {X}_{\kappa}$ of constant curvature κ (i.e., the Euclidean plane R2 $\mathbb{R}^{2}$, projective plane RP2 $\mathbb{R}P^{2}$, or hyperbolic plane  H2 $\mathbb{H}^{2}$) are proved ...
Min Chang
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Optimality conditions for isoperimetric continuous - time optimization problems [PDF]

Yugoslav Journal of Operations Research, 2023
In this paper we deal with a nonsmooth case of isoperimetric convex continuoustime programming problem with inequality integral constraint and phase constraint, defined in L∞([0, T],Rn). In order to obtain necessary optimality conditions for this problem,
Vicanović Jelena
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On an isoperimetric-isodiametric inequality [PDF]

Analysis & PDE, 2017
Final version to appear in Analysis & PDE.
Andrea Mondino, Emanuele Spadaro
openaire   +5 more sources

Diagnosis inspired by the thermodynamic geometry for different thermodynamic schemes of the charged BTZ black hole

European Physical Journal C: Particles and Fields, 2020
Due to the asymptotic structure of the black hole solution, there are two different thermodynamic schemes for the charged Banados–Teitelboim–Zanelli (BTZ) black hole.
Zhen-Ming Xu, Bin Wu, Wen-Li Yang
doaj   +1 more source

Entropic Isoperimetric Inequalities

, 2023
We discuss optimal bounds on the Rényi entropies in terms of the Fisher information. In Information Theory, such relations are also known as entropic isoperimetric inequalities.
Bobkov, Sergey, Roberto, Cyril
openaire   +1 more source

The Minimal Perimeter of a Log-Concave Function

Mathematics, 2020
Inspired by the equivalence between isoperimetric inequality and Sobolev inequality, we provide a new connection between geometry and analysis. We define the minimal perimeter of a log-concave function and establish a characteristic theorem of this ...
Niufa Fang, Zengle Zhang
doaj   +1 more source

Payne-Sperb-Stakgold Type Inequality for a Wedge-Like Membrane

International Journal of Analysis and Applications, 2022
For a bounded domain contained in a wedge, we give a new Payne-Sperb-Stakgold type inequality for the solution of a semi-linear equation. The result is isoperimetric in the sense that the sector is the unique extremal domain.
Abir Sboui, Abdelhalim Hasnaoui
doaj   +1 more source

An Asymptotic Isoperimetric Inequality [PDF]

Geometric And Functional Analysis, 1998
For a finite metric space \(V\) with a metric \(\rho\) and probability measure \(\mu\), let \(V^n\) be the product metric space in which the distance between \(a= (a_1,\dots, a_n)\) and \(b= (b_1,\dots, b_n)\) is \(\rho_n(a,b)= \sum_i\rho(a_i, b_i)\) and the measure \(\mu_n(a_1,\dots, a_n)= \prod_i\mu(a_i)\). For any \(d\geq 0\) the \(d\)-neighbourhood
Alon, N., Boppana, R., Spencer, J.
openaire   +2 more sources