UNIVERSAL BOUNDS FOR EIGENVALUES OF LAPLACIAN OPERATOR OF ANY ORDER  

作　　者：黄广月 陈文艺 

机构地区：[1]College of Mathematics and Information Science, Henan Normal University [2]School of Mathematics and Statistics, Wuhan University

出　　处：《Acta Mathematica Scientia》2010年第3期939-948,共10页数学物理学报（B辑英文版）

基　　金：supported by NSFC (10471108,10631020) of China;NSF of Henan Provincial Education Department (2010A110008)

摘　　要：Let Ω be a connected bounded domain in R^n. Denote by λi the i-th eigenvalue of the Lapla^ian operator with any order p：{u=Эn→^-Эu=…=Эn→p-1^-Эp-1u=0 on ЭΩ （-△）pu=λu in Ω.In this article, we give some expressions for upper bound of the （k ＋ 1）-th eigenvalue ）λk＋l in terms of the first k eigenvalues.Let Ω be a connected bounded domain in R^n. Denote by λi the i-th eigenvalue of the Lapla^ian operator with any order p：{u=Эn→^-Эu=…=Эn→p-1^-Эp-1u=0 on ЭΩ （-△）pu=λu in Ω.In this article, we give some expressions for upper bound of the （k ＋ 1）-th eigenvalue ）λk＋l in terms of the first k eigenvalues.

关 键 词：EIGENVALUE Laplacian operator 

分 类 号：O175.9[理学—数学]