Caffarelli–Kohn–Nirenberg and Sobolev type inequalities on stratified Lie groups

Michael Ruzhansky, Durvudkhan Suragan, Nurgissa Yessirkegenov

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5 Citations (Scopus)

Abstract

In this short paper, we establish a range of Caffarelli–Kohn–Nirenberg and weighted Lp-Sobolev type inequalities on stratified Lie groups. All inequalities are obtained with sharp constants. Moreover, the equivalence of the Sobolev type inequality and Hardy inequality is shown in the L2-case.

Original languageEnglish
Article number56
JournalNonlinear Differential Equations and Applications
Volume24
Issue number5
DOIs
Publication statusPublished - Oct 1 2017
Externally publishedYes

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Keywords

  • Caffarelli–Kohn–Nirenberg inequality
  • Hardy inequality
  • Sobolev type inequality
  • Stratified Lie group

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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