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On the Upper Bound of Second Eigenvalues for Uniformly Elliptic Operators of any Orders 被引量:4

On the Upper Bound of Second Eigenvalues for Uniformly Elliptic Operators of any Orders
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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].
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2003年第1期107-116,共10页 应用数学学报(英文版)
关键词 Keywords Uniformly elliptic operators of any orders EIGENVALUES EIGENFUNCTIONS any orders upper bond Keywords Uniformly elliptic operators of any orders, eigenvalues, eigenfunctions, any orders, upper bond
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