21 citations · 40 across the 33 of their papers we have counts for
4 papers · 2 filters
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…
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…
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…
Embedded constant mean curvature hypersurfaces on spheres
Guoxin Wei, Guohua Wen
In this paper, we study -dimensional hypersurfaces with constant mean curvature in a unit sphere and prove that if the mean cu…