On a sharp weighted Sobolev inequality on the upper half-space and its applications

被引：0
|
作者：
Zhang, Jianjun [1 ]
Felix, Diego [2 ]
Medeiros, Everaldo [2 ]
机构：
[1] Chongqing Jiaotong Univ, Coll Math & Stat, Chongqing 400074, Peoples R China
[2] Univ Fed Paraiba, Dept Matemat, BR-58051900 Joao Pessoa, Brazil
来源：
PARTIAL DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2022年 / 3卷 / 02期
关键词：
Weighted Sobolev inequality; Trace inequality; Upper half-space; Minimizers; Neumann problem; CONSTANT;
D O I：
10.1007/s42985-022-00165-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we establish a sharp weighted Sobolev inequality on the upper half-space. We also discourse existence and nonexistence of minimizer . As an application, we study a quasilinear problem on the upper half-space.
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页数：17
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