UNIVERSAL BOUNDS FOR EIGENVALUES OF LAPLACIAN OPERATOR OF ANY ORDER

• 作 者: 黄广月 陈文艺
• 机 构: CollegeofMathematicsandInformationScience,SchoolofMathematicsandStatistics
• 出 处: 数学物理学报：B辑英文版
• 发表日期: 2010年3期
• 关键词: LAPLACIAN特征值 命令 通用 次特征值 运营商 连通 Eigenvalue Laplacian operator
• 基金项目: This research is supported by NSFC （10471108, 10631020） of China and NSF of Henan Provincial Education Department （2010A110008）

Let Ω be a connected bounded domain in Rn. Denote by λi the i-th eigenvalue of the Laplacian operator with any order p:{0(-△)pu =λu u =■u/→■n =···=■→■np-1 p-u1=0 in Ω,on ■Ω.In this article, we give some expressions for upper bound of the (k