The Upper Bounds of Arbitrary Eigenvalues for Uniformly Elliptic Operators with Higher Orders

被引：1

作者：

Gao Jia~1 Xiao-ping Yang~21 College of Science

机构：

来源：

Acta Mathematicae Applicatae Sinica(English Series) | 2006年 / 04期

基金：

中国国家自然科学基金;

关键词：

Uniformly elliptic operator of any order; eigenvalue; eigenfunction; upper bound;

D O I：

暂无

中图分类号：

O157.3 [组合几何];

学科分类号：

070104 ;

摘要：

Let ΩR~m (m2)be a bounded domain with piecewise smooth and Lipschitz boundary Ω.Lett and r be two nonnegative integers with tr+1.In this paper,we consider the variable-coefficient eigenvalueproblems with uniformly elliptic differential operators on the left-hand side and (-△)~r on the right-hand side.Some upper bounds of the arbitrary eigenvalue are obtained,and several known results are generalized.

引用

页码：589 / 598

页数：10