Higher-order Fefferman-Poincare type inequalities and applications

被引：0

作者：

Zhang, Kelei ^{[1
]}

Niu, Pengcheng ^{[1
]}

机构：

[1] Northwestern Polytech Univ, Dept Appl Math, Xian 710129, Shaanxi, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2015年

基金：

中国国家自然科学基金;

关键词：

higher-order Fefferman-Poincare type inequality; higher-order elliptic equation; potential; higher-order Stummel-Kato type class; L-p estimate;

D O I：

10.1186/s13660-015-0914-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish higher-order Fefferman-Poincare type inequalities with a potential belonging to an appropriate higher-order Stummel-Kato type class introduced in this paper. As an application, we obtain a priori Lp estimates for solutions of higher-order elliptic equations with discontinuous coefficients of small BMO type and a potential belonging to the higher-order Stummel-Kato type class.

引用

页码：1 / 9

页数：9

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