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arxiv: 1111.3115 · v2 · pith:7VA5JACUnew · submitted 2011-11-14 · 🧮 math.DG

Estimates for Eigenvalues of Poly-harmonic Operators

classification 🧮 math.DG
keywords eigenvaluesresultsarbitraryboundboundedcheng-cheng-weidomain
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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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