Results 41 to 50 of about 520,398 (211)
Isoperimetric inequality in the Grushin plane [PDF]
, 2018 We prove a sharp isoperimetric inequality in the Grushin plane and compute the corresponding isoperimetric ...
Morbidelli, Daniele, Monti, Roberto
core
The Isoperimetric Inequality: Proofs by Convex and Differential Geometry [PDF]
, 2020 The Isoperimetric Inequality has many different proofs using methods from diverse mathematical fields. In the paper, two methods to prove this inequality will be shown and compared.
Gehring, Penelope
core +1 more source
Sharp estimates for the Laplacian torsional rigidity with negative Robin boundary conditions
Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.Abstract Motivated by pioneering works of Bandle and Wagner, given a bounded Lipschitz domain Ω⊂Rd$\Omega \subset \mathbb {R}^d$ with d⩾3$d\geqslant 3$, we consider the Robin–Laplacian torsional rigidity τα(Ω)$\tau _\alpha (\Omega)$ with negative boundary parameter α$\alpha$ and we show that sharp inequalities for τα(Ω)$\tau _\alpha (\Omega)$ hold if ...
Nunzia Gavitone +2 more
wiley +1 more source
Exact Face-isoperimetric Inequalities
European Journal of Combinatorics, 1990 Let \([p]^ N\) be the grid, i.e. \([p]^ N=\{0,1,...,N-1\}\). The authors give the best possible upper bound for the number of faces of a fixed dimension contained in a subset of the grid. As a conjecture the result appeared in \textit{B. Bollobás} and \textit{A. J. Radcliffe} [Eur. J. Comb. 11, No.4, 323-333 (1990; see the review above)].
Béla Bollobás, Imre Leader
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A strong quantitative form of the fractional isoperimetric inequality
Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.Abstract We show a strong version of the fractional quantitative isoperimetric inequality, in which the isoperimetric deficit controls not only the Fraenkel asymmetry but also a sort of oscillation of the boundary. This generalizes the local result by Fusco and Julin in [22].
Eleonora Cinti +2 more
wiley +1 more source
A Discrete Isoperimetric Inequality on Lattices [PDF]
Discrete & Computational Geometry, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
Un nuovo approccio alle disuguaglianze isoperimetriche quantitative
Bruno Pini Mathematical Analysis Seminar, 2011 We introduce a new variational method for studying geometric and functional inequalities with quantitative terms. In the context of isoperimetric-type inequalities, this method (called Selection Principle) is based on a penalization technique combined ...
Gian Paolo Leonardi
doaj
In‐and‐Out: Algorithmic Diffusion for Sampling Convex Bodies
Random Structures &Algorithms, Volume 68, Issue 3, May 2026.ABSTRACT We present a new random walk for uniformly sampling high‐dimensional convex bodies. It achieves state‐of‐the‐art runtime complexity with stronger guarantees on the output than previously known, namely in Rényi divergence (which implies TV, 𝒲2, KL, χ2$$ {\chi}^2 $$).
Yunbum Kook +2 more
wiley +1 more source
Isoperimetric inequality and applications
, 2021 U ovom diplomskom radu opisana je prva pojava izoperimetrijskog problema u matematici te otkriće tog problema (legenda o Didoni) i važnost u svakidašnjem životu. Rezultat izoperimetrijskog problema jest izoperimetrijska nejednakost.
Škrnjug, Karla
core
A quantitative version of the isoperimetric inequality : the anisotropic case [PDF]
, 2005 We State and prove a stability result for the anisotropic version of the isoperimetric inequality. Namely if E is a set with small anisotropic isoperimetric deficit, then E is "close" to the Wulff shape ...
Esposito, Luca +8 more
core +2 more sources