Strong unique continuation property for a class of fourth order elliptic equations with strongly singular potentials

被引：0
|
作者：
Hairong Liu
Xiaoping Yang
机构：
[1] Nanjing Forestry University,College of Science
[2] Nanjing University,Department of Mathematics
来源：
Science China Mathematics | 2022年 / 65卷
关键词：
strong unique continuation property; fourth order elliptic equation; singular potential; Hardy-Rellich type inequality; 35J30; 35A07;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper we prove the strong unique continuation property for a class of fourth order elliptic equations involving strongly singular potentials. Our argument is to establish some Hardy-Rellich type inequalities with boundary terms and introduce an Almgren’s type frequency function to show some doubling conditions for the solutions to the above-mentioned equations.
引用
收藏
页码：707 / 730
页数：23
相关论文
共 50 条
12345