Sobolev and Hardy-Littlewood-Sobolev inequalities
type: Dataset
description: This paper is devoted to improvements of Sobolev and Onofri inequalities. The additional terms involve the dual counterparts, i.e. Hardy-Littlewood-Sobolev type inequalities. The Onofri inequality is achieved as a limit case of Sobolev type inequalities. Then we focus our attention on the constants in our improved Sobolev inequalities, that can be estimated by completion of the square methods. Our estimates rely on nonlinear flows and spectral problems based on a linearization around optimal Aubin-Talenti functions.
landing page: 0022-0396
keyword: 26d10-46e35-35k55
keyword: best-constants
keyword: caffarelli-kohn-nirenberg-inequalities
keyword: duality
keyword: extremal-functions
keyword: fast-diffusion-equation
keyword: hardy-littlewood-sobolev-inequality
keyword: infoeu-reposemanticsarticle
keyword: journal-articles
keyword: logarithmic-hardy-littlewood-sobolev-inequality
keyword: mathmath-apmathematics-mathanalysis-of-pdes-mathap
keyword: onofris-inequality
keyword: sobolev-inequality
keyword: sobolev-spaces
keyword: stereographic-projection
issued: 2026-05-05T12:26:05.863916
modified: 2026-05-05T12:26:05.863921
language: en
contact point: Organization
  fn: CCSD

test_moissonnage_selune
type: Agent

Sobolev and Hardy-Littlewood-Sobolev inequalities
type: Distribution
format: HTML
access URL: https://hal.science/hal-00915998
issued: 2026-05-05T12:26:05.874101
modified: 2026-05-05T12:26:05.844035