Characterization of the non-homogenous Dirac-harmonic equation

被引:0
作者
Guannan Shi
Shusen Ding
Bing Liu
机构
[1] Northeast Petroleum University,School of Mathematics and Statistics
[2] Shanghai Normal University,Mathematics and Science College
[3] Seattle University,Department of Mathematics
[4] Saginaw Valley State University,Department of Mathematical Sciences
来源
Journal of Inequalities and Applications | / 2021卷
关键词
Dirac-harmonic equation; Differential forms; Norm estimates;
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学科分类号
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 Hölder inequality.
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