Inequalities of Eigenvalues for Uniformly Elliptic Operators with Higher Orders

Inequalities of Eigenvalues for Uniformly Elliptic Operators with Higher Orders

Year:    2001

Journal of Partial Differential Equations, Vol. 14 (2001), Iss. 4 : pp. 356–364

Abstract

Let (Ω) ⊂ R^m (m ≥ 2) be a bounded domain with piecewise smooth boundary ∂Ω. Let t be positive integer with t > 1. We consider the eigenvalue problems about (1.1) and (1.2), and obtain Theorem 2.1 and Theorem 2.2, which are generalizations of the results in [1-2]. This kind of problem is interesting and significant both in theory of partial differential equations and in applications to mechanics and physics.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2001-JPDE-5489

Journal of Partial Differential Equations, Vol. 14 (2001), Iss. 4 : pp. 356–364

Published online:    2001-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    9

Keywords:    Uniformly elliptic operators with higher orders