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

Caffarelli–Kohn–Nirenberg and Sobolev type inequalities on stratified Lie groups In this short paper, we establish a range of Caffarelli–Kohn–Nirenberg and weighted $$L^{p}$$ L p -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 $$L^{2}$$ L 2 -case. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Nonlinear Differential Equations and Applications NoDEA Springer Journals

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

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Publisher
Springer International Publishing
Copyright
Copyright © 2017 by The Author(s)
Subject
Mathematics; Analysis
ISSN
1021-9722
eISSN
1420-9004
D.O.I.
10.1007/s00030-017-0478-2
Publisher site
See Article on Publisher Site

Abstract

In this short paper, we establish a range of Caffarelli–Kohn–Nirenberg and weighted $$L^{p}$$ L p -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 $$L^{2}$$ L 2 -case.

Journal

Nonlinear Differential Equations and Applications NoDEASpringer Journals

Published: Aug 22, 2017

References

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