Results 1 to 10 of about 254 (115)
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
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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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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
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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
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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
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A sharp reverse Bonnesen-style inequality and generalization
Journal of Inequalities and Applications, 2019 We investigate the isoperimetric deficit of the oval domain in the Euclidean plane. Via the kinematic formulae of Poincaré and Blaschke, and Blaschke’s rolling theorem, we obtain a sharp reverse Bonnesen-style inequality for a plane oval domain, which ...
Pengfu Wang
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Dilation Type Inequalities for Strongly-Convex Sets in Weighted Riemannian Manifolds
Analysis and Geometry in Metric Spaces, 2021 In this paper, we consider a dilation type inequality on a weighted Riemannian manifold, which is classically known as Borell’s lemma in high-dimensional convex geometry.
Tsuji Hiroshi
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Isoperimetric inequalities in nonlocal diffusion problems with integrable kernel [PDF]
Opuscula MathematicaWe deduce isoperimetric estimates for solutions of linear stationary and evolution problems. Our main result establishes the comparison in norm between the solution of a problem and its symmetric version when nonlocal diffusion defined through integrable
Gonzalo Galiano
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Relative Isoperimetric Inequality for Minimal Submanifolds in a Riemannian Manifold
Journal of Inequalities and Applications, 2010 Let Σ be a domain on an m-dimensional minimal submanifold in the outside of a convex set C in 𝕊n or ℍn. The modified volume M(Σ) is introduced by Choe and Gulliver (1992) and we prove a sharp modified relative isoperimetric
Juncheol Pyo
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