Results 11 to 20 of about 1,372 (214)
Sobolev type inequalities for compact metric graphs [PDF]
Journal of Inequalities and Applications, 2018 In this paper analogues of Sobolev inequalities for compact and connected metric graphs are derived. As a consequence of these inequalities, a lower bound, commonly known as Cheeger inequality, on the first non-zero eigenvalue of the Laplace operator ...
Muhammad Usman
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Isoperimetric inequalities for some nonlinear eigenvalue problems [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2004 In this paper we intend to review many of the known inequalities for eigenvalues of the Laplacian in Euclidean plane. Our aim is to show that we can generalize some results for the pseudo-Laplacian.
Gabriella Bognár
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Isoperimetric inequalities for conformal moments of plane domains [PDF]
Journal of Inequalities and Applications, 2002 We prove a new sharp inequality for norms in weighted Bergman space. This inequality is then used to derive isoperimetric inequalities for geometric functionals which are closely related to the torsional rigidity of a simply connected domain (F.
Avkhadiev FG, Salahudinov RG
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On an isoperimetric-isodiametric inequality [PDF]
Analysis & PDE, 2017 Final version to appear in Analysis & PDE.
Andrea Mondino, Emanuele Spadaro
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Isoperimetric inequalities in Riemann surfaces and graphs
, 2021 A celebrated theorem of Kanai states that quasi-isometries preserve isoperimetric inequalities between uniform Riemannian manifolds (with positive injectivity radius) and graphs.
Martínez Pérez, Álvaro +2 more
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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.
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Sharp isoperimetric and Sobolev inequalities in spaces with nonnegative Ricci curvature
, 2022 By using optimal mass transport theory we prove a sharp isoperimetric inequality in CD(0,N) metric measure spaces assuming an asymptotic volume growth at infinity.
Kristály, Alexandru, Balogh, Zoltán M.
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Isoperimetric and Functional Inequalities
Моделирование и анализ информационных систем, 2018 We establish lower estimates for an integral functional$$\int\limits_\Omega f(u(x), \nabla u(x)) \, dx ,$$where \(\Omega\) -- a bounded domain in \(\mathbb{R}^n \; (n \geqslant 2)\), an integrand \(f(t,p) \, (t \in [0, \infty),\; p \in \mathbb{R}^n)\) --
Vladimir S. Klimov
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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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Exact bounds for tail probabilities of martingales with bounded differences
Lietuvos Matematikos Rinkinys, 2009 We consider random walks, say Wn = {0, M1, . . ., Mn} of length n starting at 0 and based on a martingale sequence Mk = X1 + ··· + Xk with differences Xm. Assuming |Xk| \leq 1 we solve the isoperimetric problem Bn(x) = supP\{Wn visits an interval [x,∞
Dainius Dzindzalieta
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