@article{659777c388d04099887f69d4b19f3b75,
title = "Limiting Sobolev and Hardy inequalities on stratified homogeneous groups",
abstract = "We give a sufficient condition for limiting Sobolev and Hardy inequalities to hold on stratified homogeneous groups. In the Euclidean case, this condition reduces to the known cancelling necessary and sufficient condition. We obtain in particular endpoint Korn–Sobolev and Korn–Hardy inequalities on stratified homogeneous groups.",
keywords = "Canceling operator, Cocanceling operator, Compatibility conditions, Exterior derivative, Hodge inequality, Homogeneous differential operator, Korn–sobolev inequality, Maximally hypoelliptic operator, Overdetermined elliptic operator, Saint-venant compatibility conditions, Sobolev embedding, Symmetric derivative",
author = "Schaftingen, {Jean Van} and Yung, {Po Lam}",
note = "Publisher Copyright: {\textcopyright} 2022 The Finnish Mathematical Society",
year = "2022",
doi = "10.54330/AFM.120959",
language = "English",
volume = "47",
pages = "1065--1098",
journal = "Annales Fennici Mathematici",
issn = "2737-0690",
publisher = "Finnish Mathematical Society",
number = "2",
}