Sharp trace Gagliardo-Nirenberg-Sobolev inequalities for convex cones, and convex domains

被引：1
|
作者：
Zugmeyer, Simon [1 ]
机构：
[1] Univ Claude Bernard Lyon 1, Univ Lyon, CNRS, UMR 5208,Inst Camille Jordan, 43 Blvd 11 Novembre 1918, F-69622 Villeurbanne, France
来源：
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 2019年 / 36卷 / 03期
关键词：
Sobolev inequality; Gagliardo-Nirenberg-Sobolev inequality; Hamilton-Jacobi equation; BRUNN-MINKOWSKI;
D O I：
10.1016/j.anihpc.2018.11.001
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We find a new sharp trace Gagliardo-Nirenberg Sobolev-inequality on convex cones, as well as a sharp weighted trace Sobolev inequality on epigraphs of convex functions. This is done by using a generalized Borell-Brascamp-Lieb inequality, coming from the Brunn-Minkowski theory. (C) 2018 Elsevier Masson SAS. All rights reserved.
引用
收藏
页码：861 / 885
页数：25
相关论文
共 50 条
12345