Some weighted isoperimetric inequalities in quantitative form

DOI10.1016/j.jfa.2023.109946OpenAlexW4362474533MaRDI QIDQ2700664

Domenico Angelo La Manna, Nicola Fusco

Publication date: 27 April 2023

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.06250

zbMATH Keywords

stabilityweighted isoperimetric inequality

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Variational problems in a geometric measure-theoretic setting (49Q20) Elliptic equations and elliptic systems (35Jxx) General convexity (52Axx)

Cites Work

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• A symmetry result for degenerate elliptic equations on the Wiener space with nonlinear boundary conditions and applications
• Minimality via second variation for a nonlocal isoperimetric problem
• Spectral optimization for the Stekloff-Laplacian: The stability issue
• The \(\varepsilon - \varepsilon^\beta\) property in the isoperimetric problem with double density, and the regularity of isoperimetric sets
• Some isoperimetric problems in planes with density
• The quantitative isoperimetric inequality and related topics
• A mass transportation approach to quantitative isoperimetric inequalities
• The Brunn-Minkowski inequality in Gauss space
• On the isoperimetric problem with double density
• On the isoperimetric problem with perimeter density \(r^p\)
• Local minimality of the ball for the Gaussian perimeter
• A selection principle for the sharp quantitative isoperimetric inequality
• Existence of isoperimetric regions in \(\mathbb{R}^{n}\) with density
• A weighted isoperimetric inequality and applications to symmetrization
• A quantitative Weinstock inequality for convex sets
• Isoperimetry and stability properties of balls with respect to nonlocal energies
• A non local approximation of the Gaussian perimeter: gamma convergence and isoperimetric properties
• Rigidity for perimeter inequality under spherical symmetrisation
• Proof of the log-convex density conjecture
• On a conjectured reverse Faber-Krahn inequality for a Steklov-type Laplacian eigenvalue
• A quantitative isoperimetric inequality on the sphere
• The sharp quantitative isoperimetric inequality
• Sharp dimension free quantitative estimates for the Gaussian isoperimetric inequality
• On the isoperimetric problem in Euclidean space with density
• On an Isoperimetric Problem with a Competing Nonlocal Term I: The Planar Case
• Sets of Finite Perimeter and Geometric Variational Problems
• Local and Global Minimality Results for a Nonlocal Isoperimetric Problem on $\mathbb{R}^N$
• On the isoperimetric deficit in Gauss space
• Stability in the Isoperimetric Problem for Convex or Nearly Spherical Domains in R n
• A quantitative reverse Faber-Krahn inequality for the first Robin eigenvalue with negative boundary parameter
• Sharp quantitative stability for isoperimetric inequalities with homogeneous weights
• An isoperimetric problem with a Coulombic repulsion and attractive term
• Isoperimetric problem with a coulomb repulsive term
• 7 Spectral inequalities in quantitative form

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