Improved higher-order Sobolev inequalities on CR sphere

被引：0
|
作者：
Yan, Zetian [1 ]
机构：
[1] Penn State Univ, Dept Math, University Pk, PA 16802 USA
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2023年 / 284卷 / 10期
关键词：
CR Yamabe problem; CR GJMS operators; Sharp Sobolev inequalities; SHARP CONSTANTS;
D O I：
10.1016/j.jfa.2023.109890
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We improve higher-order CR Sobolev inequalities on S2n+1 under the vanishing of higher order moments of the volume element. As an application, we give a new and direct proof of the classification of minimizers of the CR invariant higher-order Sobolev inequalities. In the same spirit, we prove almost sharp Sobolev inequalities for GJMS operators to general CR manifolds, and obtain the existence of minimizers in C2k(N) of higher-order CR Yamabe-type problems when Yk(N) < Yk(Hn).(c) 2023 Elsevier Inc. All rights reserved.
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页数：34
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