English

Estimates for Eigenvalues of Poly-harmonic Operators

Differential Geometry 2011-12-30 v2

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].

Keywords

Cite

@article{arxiv.1111.3115,
  title  = {Estimates for Eigenvalues of Poly-harmonic Operators},
  author = {Guoxin Wei and Lingzhong Zeng},
  journal= {arXiv preprint arXiv:1111.3115},
  year   = {2011}
}

Comments

18 pages

R2 v1 2026-06-21T19:35:31.334Z