Results 1 to 10 of about 13,857 (195)
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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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
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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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Randomized Isoperimetric Inequalities [PDF]
, 2017 We discuss isoperimetric inequalities for convex sets. These include the classical isoperimetric inequality and that of Brunn-Minkowski, Blaschke-Santalo, Busemann-Petty and their various extensions. We show that many such inequalities admit stronger randomized forms in the following sense: for natural families of associated random convex sets one has ...
Paouris, Grigoris, Pivovarov, Peter
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Generalized isoperimetric inequalities [PDF]
Journal of Mathematical Physics, 1973 New inequalities for certain Green's functions are given. They may be interpreted physically in many ways, for example, as applying to the quantum mechanical motion of a particle in a potential or to diffusion in the presence of absorbers. These inequalities involve a symmetrization process very closely related to Steiner symmetrization used in the ...
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Stability of the Steiner symmetrization of convex sets [PDF]
, 2013 The isoperimetric inequality for Steiner symmetrization of any codimension is investigated and the equality cases are characterized.
Barchiesi, Marco +2 more
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