Weighted Moser-Onofri-Beckner and logarithmic Sobolev inequalities
type: Item
instance of: scholarly article
title: Weighted Moser-Onofri-Beckner and logarithmic Sobolev inequalities
zbMATH Open document ID: 1392.26029
author: Guozhen Lu
author: Nguyen Lam
published in: The Journal of Geometric Analysis
publication date: 2018-07-12T00:00:00Z
Mathematics Subject Classification ID: 26D10
Mathematics Subject Classification ID: 46E35
zbMATH DE Number: 6902284
zbMATH Keywords: best constants
zbMATH Keywords: extremal functions
zbMATH Keywords: Moser-Onofri-Beckner inequalities
zbMATH Keywords: logarithmic Sobolev inequalities
MaRDI profile type: Publication
full work available at URL: s12220-017-9883-3
OpenAlex ID: W2732939482
cites work: Sharp Gagliardo-Nirenberg inequalities via \(p\)-Laplacian type equations
cites work: Geometric inequalities via a general comparison principle for interacting gases
cites work: A dual Moser-Onofri inequality and its extensions to higher dimensional spheres
cites work: Meilleures constantes dans le théorème d'inclusion de Sobolev et un théorème de Fredholm non linéaire pour la transformation conforme de la courbure scalaire
cites work: Sharp Sobolev inequalities on the sphere and the Moser-Trudinger inequality
cites work: Geometric asymptotics and the logarithmic Sobolev inequality
cites work: Q3676658
cites work: Superadditivity of Fisher's information and logarithmic Sobolev inequalities
cites work: Competing symmetries, the logarithmic HLS inequality and Onofri's inequality on \(S^ n\)
cites work: Q4520911
cites work: Sharp constants for Moser‐Trudinger inequalities on spheres in complex space ℂn
cites work: Some applications of mass transport to Gaussian-type inequalities
cites work: A mass-transportation approach to sharp Sobolev and Gagliardo-Nirenberg inequalities.
cites work: The optimal Euclidean \(L^{p}\)-Sobolev logarithmic inequality.
cites work: The Euclidean Onofri Inequality in Higher Dimensions
cites work: The Moser-Trudinger-Onofri inequality
cites work: Sharp weighted Trudinger-Moser and Caffarelli-Kohn-Nirenberg inequalities and their extremal functions
cites work: The general optimal \(L^{p}\)-Euclidean logarithmic Sobolev inequality by Hamilton--Jacobi equations.
cites work: On the Moser-Onofri and Prékopa-Leindler inequalities
cites work: Functional Inequalities: New Perspectives and New Applications
cites work: Logarithmic Sobolev Inequalities
cites work: A Best Constant and the Gaussian Curvature
cites work: Sharp constants and optimizers for a class of Caffarelli-Kohn-Nirenberg inequalities
cites work: Q5603485
cites work: On the positivity of the effective action in a theory of random surfaces
cites work: Extremals of determinants of Laplacians
DOI: 10.1007/S12220-017-9883-3
description: scientific article; zbMATH DE number 6902284