TY - JOUR AU - Van Schaftingen, Jean AU - Yung, Po-Lam PY - 2022/08/16 Y2 - 2024/03/28 TI - Limiting Sobolev and Hardy inequalities on stratified homogeneous groups JF - Annales Fennici Mathematici JA - Ann. Fenn. Math. VL - 47 IS - 2 SE - Articles DO - 10.54330/afm.120959 UR - https://afm.journal.fi/article/view/120959 SP - 1065-1098 AB - <pre>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.</pre><p> </p> ER -