The upper bounds of arbitrary eigenvalues for uniformly elliptic operators with higher orders

被引：0

作者：

Jia G. ^{[1
]}

Yang X.-P. ^{[2
]}

机构：

[1] College of Science, University of Shanghai for Science and Technology

[2] School of Science, Nanjing University of Science and Technology

来源：

Acta Mathematicae Applicatae Sinica | 2006年 / 22卷 / 4期

基金：

中国国家自然科学基金;

关键词：

Eigenfunction; Eigenvalue; Uniformly elliptic operator of any order; Upper bound;

D O I：

10.1007/s10255-006-0332-5

中图分类号：

学科分类号：

摘要：

Let Ω ⊂ R m (m ≥ 2) be a bounded domain with piecewise smooth and Lipschitz boundary Ω. Let t and r be two nonnegative integers with t ≥ r +1. In this paper, we consider the variable-coefficient eigenvalue problems with uniformly elliptic differential operators on the left-hand side and (-Δ) r on the right-hand side. Some upper bounds of the arbitrary eigenvalue are obtained, and several known results are generalized. © 2006 Springer-Verlag Berlin Heidelberg.

引用

页码：589 / 598

页数：9