Conic type Caffarelli-Kohn-Nirenberg inequality on manifold with conical singularity

被引：1

作者：

Jafari, Ali Asghar ^{[1
]}

Alimohammady, Mohsen ^{[1
]}

机构：

[1] Univ Mazandaran, Fac Math Sci, Dept Math, Babol Sar 474161468, Iran

来源：

JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS | 2019年 / 10卷 / 04期

关键词：

Caffarelli-Kohn-Nirenberg-type inequality; Nonlinear elliptic equations; Partial differential equations on manifolds; EXISTENCE; EQUATIONS;

D O I：

10.1007/s11868-018-0243-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a manifold with conical singularity and introduce weighted cone Sobolev spaces. We prove a conic type Caffarelli-Kohn-Nirenberg inequality and then apply this inequality to obtain a existence result of a nonlinear elliptic equation on weighted cone Sobolev space.

引用

页码：915 / 927

页数：13

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