Pointwise Inequalities for Elliptic Boundary Value Problems

被引：0

作者：

Luo G. ^{[1
]}

Maz’ya V.G. ^{[2
]}

机构：

[1] City University of Hong Kong, Tat Chee Avenue, Kowloon

[2] Link¨oping University, Linköping

来源：

Journal of Mathematical Sciences | 2015年 / 210卷 / 4期

关键词：

Dirichlet Problem; Fundamental Solution; Elliptic Operator; Elliptic Boundary; Hardy Inequality;

D O I：

10.1007/s10958-015-2572-5

中图分类号：

学科分类号：

摘要：

We introduce a new approach for obtaining pointwise estimates for solutions of elliptic boundary value problems when the operator satisfies a certain type of weighted integral inequalities. The method is illustrated on several examples, including a scalar secondorder elliptic equation, the 3D Lamé system, and a scalar higher-order elliptic equation. The techniques can be extended to other elliptic boundary value problems provided that the corresponding weighted integral inequalities are satisfied. Bibliography: 36 titles. © 2015, Springer Science+Business Media New York.

引用

页码：391 / 398

页数：7

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