Estimates for Eigenvalues of Poly-harmonic Operators

2011/11/14 by Guoxin Wei, Wei, Guoxin, Lingzhong Zeng +1
Computer Science · Mathematics · Engineering · #Advanced Mathematical Modeling in Engineering #Spectral Theory in Mathematical Physics #Composite Material Mechanics

paper · pdf · doi:10.48550/arxiv.1111.3115

Abstract

In this paper, we study eigenvalues of the poly-Laplacian with arbitrary order on a bounded domain in an n-dimensional Euclidean space and obtain a lower bound for eigenvalues, which generalizes the results due to Cheng-Wei [5] and gives an improvement of results due to Cheng- Qi-Wei [3].

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