On the Upper Bound of Second Eigenvalues for Uniformly Elliptic Operators of any Orders  

作　　者：GaoJia Xiao-pingYang Chun-linQian 

机构地区：[1]BengbuTankInstitute,Bengbu233013,China&SchoolofScience,NanjingUniversityofScienceandTechnology,Nanjing210094,China [2]SchoolofScience,NanjingUniversityofScienceandTechnology,Nanjing210094,China [3]SuzhouTelevision&RadioBroadcastingUniversity,Suzhou215004,China

出　　处：《Acta Mathematicae Applicatae Sinica》2003年第1期107-116,共10页应用数学学报（英文版）

摘　　要：Abstract Let $\Omega \subset R^m (m\ge 1)$ be a bounded domain with piecewise smooth boundary $\partial \Omega$. Let t and r be positive integers with t > r + 1. We consider the eigenvalue problems (1.1) and (1.2), and obtain Theorem 1 and Theorem 2, which generalize the results in [1,2,5].Abstract Let $\Omega \subset R^m (m\ge 1)$ be a bounded domain with piecewise smooth boundary $\partial \Omega$. Let t and r be positive integers with t > r + 1. We consider the eigenvalue problems (1.1) and (1.2), and obtain Theorem 1 and Theorem 2, which generalize the results in [1,2,5].

关 键 词：Keywords Uniformly elliptic operators of any orders EIGENVALUES EIGENFUNCTIONS any orders upper bond 

分 类 号：O175.25[理学—数学]