Characterization of the non-homogenous Dirac-harmonic equation

被引：0

作者：

Shi, Guannan ^{[1
,2
]}

Ding, Shusen ^{[3
]}

Liu, Bing ^{[4
]}

机构：

[1] Northeast Petr Univ, Sch Math & Stat, Daqing, Peoples R China

[2] Shanghai Normal Univ, Math & Sci Coll, Shanghai, Peoples R China

[3] Seattle Univ, Dept Math, Seattle, WA 98122 USA

[4] Saginaw Valley State Univ, Dept Math Sci, University Ctr, MI USA

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2021年 / 2021卷 / 01期

关键词：

Dirac-harmonic equation; Differential forms; Norm estimates; DIFFERENTIAL FORMS; INEQUALITIES; THEOREMS;

D O I：

10.1186/s13660-021-02710-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce the non-homogeneous Dirac-harmonic equation for differential forms and characterize the basic properties of solutions to this new type of differential equations, including the norm estimates and the convergency of sequences of the solutions. As applications, we prove the existence and uniqueness of the solutions to a special non-homogeneous Dirac-harmonic equation and its corresponding reverse Holder inequality.

引用

页数：18

共 21 条

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