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math.DG2011★ 1 cited
Estimates for Eigenvalues of Poly-harmonic Operators
Guoxin Wei, Lingzhong Zeng
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, whi…
math.DG2011
Estimates for lower bounds of eigenvalues of the poly-Laplacian and quadratic polynomial operator of the Laplacian
Qing-Ming Cheng, He-Jun Sun, Guoxin Wei +1
In this paper, we investigate the Dirchlet eigenvalue problems of poly-Laplacian with any order and quadratic polynomial operator of the Laplacian. We give some estimates for lower…
math.DG2011★ 1 cited
Lower Bounds for Laplacian and Fractional Laplacian Eigenvalues
Guoxin Wei, He-Jun Sun, Lingzhong Zeng
In this paper, we investigate eigenvalues of Laplacian on a bounded domain in an -dimensional Euclidean space and obtain a sharper lower bound for the sum of its eigenvalues, wh…