Extremals for a weighted Morrey's inequality and a weighted p-Laplace equation

被引：0
|
作者：
Ni, Yubo [1 ]
机构：
[1] Shaanxi Normal Univ, Sch Math & Stat, Xian 710119, Shaanxi, Peoples R China
来源：
AIMS MATHEMATICS | 2025年 / 10卷 / 02期
关键词：
weighted Morrey's inequality; extremal functions; p -Laplace operator; SOBOLEV;
D O I：
10.3934/math.2025183
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We establish a weighted Morrey's inequality. Furthermore, the existence of extremals for this weighted Morrey's inequality is studied. As an application, we prove that extremals are the weak solutions of a related weighted p-Laplace equation.
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页码：3930 / 3944
页数：15
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