Results 41 to 50 of about 363,583 (199)
Notices of the American Mathematical SocietyThe isoperimetric problem is one of the oldest and most famous problems in geometry.
Eichmair, Michael, Brendle, Simon
openaire +3 more sources
Uniform Poincaré-Sobolev and isoperimetric inequalities for classes of domains
, 2015 The aim of this paper is to prove an isoperimetric inequality relative to a convex domain in R^d intersected with balls with a uniform relative isoperimetric constant, independent of the size of the radius r>0 and the position of the center of the ball ...
Thomas, Marita
core +1 more source
Quantitative isoperimetric inequalities in H^n [PDF]
, 2015 In the Heisenberg group H^n we prove quantitative isoperimetric inequalities for Pansu's spheres, that are known to be isoperimetric under various assumptions.
LEONARDI, Gian Paolo +2 more
core +1 more source
An Expository Lecture of María Jesús Chasco on Some Applications of Fubini’s Theorem
Axioms, 2021 The usefulness of Fubini’s theorem as a measurement instrument is clearly understood from its multiple applications in Analysis, Convex Geometry, Statistics or Number Theory. This article is an expository paper based on a master class given by the second
Alberto Castejón +3 more
doaj +1 more source
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
doaj +1 more source
On Non Local p-Laplacian with Right Hand Side Radon Measure
Fractal and Fractional, 2022 The aim of this paper is to investigate the following non local p-Laplacian problem with data a bounded Radon measure ϑ∈Mb(Ω): (−Δ)psu=ϑinΩ, with vanishing conditions outside Ω, and where s∈(0,1),2 ...
Mohammed Kbiri Alaoui
doaj +1 more source
On A. Hurwitz’ method in isoperimetric inequalities [PDF]
Proceedings of the American Mathematical Society, 1978 We show that if M is complete simply connected with nonpositive sectional curvatures, Ω
openaire +1 more source
Exponential convergence for ultrafast diffusion equations with log‐concave weights
Bulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.Abstract We study the asymptotic behavior of a weighted ultrafast diffusion PDE on the real line, with a log‐concave and log‐lipschitz weight, and prove exponential convergence to equilibrium. This result goes beyond the compact setting studied in Iacobelli [Discrete Contin. Dyn. Syst. 39 (2019), 4929–4943].
Max Fathi, Mikaela Iacobelli
wiley +1 more source
On the deterministic interior body of random polytopes
Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.Abstract Let {Xi}i=1∞$\lbrace X_i\rbrace _{i=1}^{\infty }$ be a sequence of independent copies of a random vector X$X$ in Rn$\mathbb {R}^n$. We revisit the question to determine the asymptotic shape of the random polytope KN=conv{X1,…,XN}$K_N={\rm conv}\lbrace X_1,\ldots,X_N\rbrace$ where N>n$N>n$.
Minas Pafis, Natalia Tziotziou
wiley +1 more source
Reifenberg’s isoperimetric inequality revisited [PDF]
Calculus of Variations and Partial Differential Equations, 2019 We prove a generalization of Reifenberg's isoperimetric inequality. The main result of this paper is used to establish existence of a minimizer for an anisotropically-weighted area functional among a collection of surfaces which satisfies a set of axioms, namely being closed under certain deformations and Hausdorff limits.
openaire +2 more sources