Weighted Moser-Onofri-Beckner and logarithmic Sobolev inequalities

DOI10.1007/s12220-017-9883-3zbMath1392.26029OpenAlexW2732939482MaRDI QIDQ1651386

Guozhen Lu, Lam Hoang Nguyen

Publication date: 12 July 2018

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-017-9883-3

zbMATH Keywords

extremal functionslogarithmic Sobolev inequalitiesbest constantsMoser-Onofri-Beckner inequalities

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (4)

Existence of extremal functions for higher-order Caffarelli-Kohn-Nirenberg inequalities ⋮ Sharp Rellich-Sobolev inequalities and weighted Adams inequalities involving Hardy terms for bi-Laplacian ⋮ Sharp weighted Trudinger-Moser and Caffarelli-Kohn-Nirenberg inequalities and their extremal functions ⋮ Moser–Trudinger–Adams inequalities and related developments

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