NEW TYPES OF CAFFARELLI-KOHN-NIRENBERG INEQUALITIES AND APPLICATIONS

被引：4

作者：

Guan, Xiaohong ^{[1
]}

Guo, Zongming ^{[1
]}

机构：

[1] Henan Normal Univ, Dept Math, Xinxiang 453007, Peoples R China

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2022年 / 21卷 / 12期

关键词：

Caffarelli-Kohn-Nirenberg inequalities; embeddings of weighted Sobolev spaces; weighted fourth order elliptic equations; positive solutions; ENTIRE RADIAL SOLUTIONS; BIHARMONIC EQUATION; ELLIPTIC-EQUATIONS; SOBOLEV SPACES; CLASSIFICATION; NONEXISTENCE; SYMMETRY;

D O I：

10.3934/cpaa.2022135

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

New types of Caffarelli-Kohn-Nirenberg inequalities are established in some weighted Sobolev spaces. The corresponding embeddings of the weighted Sobolev spaces are presented via such inequalities. Using such embeddings, we obtain existence and regularity of positive solutions of boundary value problems of a weighted fourth order elliptic equation.

引用

页码：4071 / 4087

页数：17