On a conjectural symmetric version of Ehrhard's inequality

DOI10.1090/tran/9177zbMATH Open1544.52006MaRDI QIDQ6582253

Publication date: 2 August 2024

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

symmetry energy minimization Poincaré inequality convex bodies Gaussian measure torsional rigidity Brunn-Minkowski inequality log-concave measures Brascamp-Lieb inequality Ehrhard inequality equality case characterization

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40)

Cites Work

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The equality case in a Poincaré-Wirtinger type inequality
The log-Brunn-Minkowski inequality
A characterization of some mixed volumes via the Brunn-Minkowski inequality
Maximal surface area of a convex set in $\mathbb R^n$ with respect to exponential rotation invariant measures
Riemannian metrics on convex sets with applications to Poincaré and log-Sobolev inequalities
Rigidity and stability of Caffarelli's log-concave perturbation theorem
Caratterizzazioni delle tracce sulla frontiera relative ad alcune classi di funzioni in $n$ variabili
Éléments extrémaux pour les inégalités de Brunn-Minkowski gaussiennes (Extreme elements for the Gaussian Brunn-Minkowski inequalities)
Une méthode de comparaison isoperimetrique de fonctionnelles de domaines de la physique mathématique. I. Premiere partie: une demonstration de la conjecture isoperimetrique $P\lambda^2\geq\pi j^4_0/2$ de Polya et Szegö
The Brunn-Minkowski inequality in Gauss space
Convex set functions in d-space
On extensions of the Brunn-Minkowski and Prekopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation
The Ehrhard inequality
Gaussian measures of dilatations of convex symmetric sets
From Brunn-Minkowski to Brascamp-Lieb and to logarithmic Sobolev inequalities
A comparison result related to Gauss measure
The equality cases of the Ehrhard-Borell inequality
A Gaussian small deviation inequality for convex functions
The size of singular component and shift inequalities
The (B) conjecture for the Gaussian measure of dilates of symmetric convex sets and related problems
Extremal properties of half-spaces for log-concave distributions
Brascamp-Lieb-type inequalities on weighted Riemannian manifolds with boundary
Sobolev spaces and elliptic theory on unbounded domains in $\mathbb{R}^n$
On the $L_p$-Brunn-Minkowski and dimensional Brunn-Minkowski conjectures for log-concave measures
Stability of the Bakry-Émery theorem on $\mathbb{R}^n$
Symmetry of minimizers of a Gaussian isoperimetric problem
The dimensional Brunn-Minkowski inequality in Gauss space
On the Gardner-Zvavitch conjecture: symmetry in inequalities of Brunn-Minkowski type
An extension of Minkowski's theorem and its applications to questions about projections for measures
On the stability of Brunn-Minkowski type inequalities
The Borell-Ehrhard game
An optimal Poincaré-Wirtinger inequality in Gauss space
Geometry of log-concave functions and measures
Die Brunn-Minkowskische Ungleichung für beliebige meßbare Mengen.
Surfaces of Gaussian curvature zero in Euclidean 3-space
A note on a Brunn-Minkowski inequality for the Gaussian measure
Monotonicity and concavity of integral functionals involving area measures of convex bodies
Gaussian Brunn-Minkowski inequalities
The Minkowski problem for the torsional rigidity
AN ISOPERIMETRIC RESULT FOR THE GAUSSIAN MEASURE AND UNCONDITIONAL SETS
Eigenvalues of the drifted Laplacian on complete metric measure spaces
Curvature Measures
On Spherical Image Maps Whose Jacobians Do Not Change Sign
Symétrisation dans l'espace de Gauss.
FROM THE BRUNN–MINKOWSKI INEQUALITY TO A CLASS OF POINCARÉ-TYPE INEQUALITIES
Elliptic Partial Differential Equations of Second Order
The Brunn-Minkowski inequality
A boundary value problem and the Ehrhard inequality
A proof of the trace theorem of Sobolev spaces on Lipschitz domains
A note on the Ehrhard inequality
Interpolations, Convexity and Geometric Inequalities
Poincaré and Brunn-Minkowski inequalities on the boundary of weighted Riemannian manifolds
On the Local Version of the Log-Brunn–Minkowski Conjecture and Some New Related Geometric Inequalities
Local 𝐿^{𝑝}-Brunn–Minkowski inequalities for 𝑝<1
Spectral gaps, symmetries and log-concave perturbations
On Poincaré and Logarithmic Sobolev Inequalities for a Class of Singular Gibbs Measures
An Interpolation Proof of Ehrhard’s Inequality
6. A note on the quantitative local version of the log-Brunn–Minkowski inequality
The Friedland–Hayman inequality and Caffarelli’s contraction theorem
Maximal Surface Area of a Convex Set in $$\mathbb{R}^{n}$$ with Respect to Log Concave Rotation Invariant Measures
Asymptotic Geometric Analysis, Part I
Sharp Poincaré-Type Inequality for the Gaussian Measure on the Boundary of Convex Sets
On the Brunn-Minkowski inequality for general measures with applications to new isoperimetric-type inequalities
Convex Bodies The Brunn-MinkowskiTheory
On torsional rigidity and principal frequencies: an invitation to the Kohler−Jobin rearrangement technique
Isoperimetric Inequalities in Mathematical Physics. (AM-27)
Symmetric convex sets with minimal Gaussian surface area
Notions of convexity
Monotonicity properties of optimal transportation and the FKG and related inequalities
On the cases of equality in Bobkov's inequality and Gaussian rearrangement
A universal bound in the dimensional Brunn-Minkowski inequality for log-concave measures
Extremizers and stability of the Betke-Weil inequality
A sharp centro-affine isospectral inequality of Szegö-Weinberger type and the $L^p$-Minkowski problem

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