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math.DG2016
A gap for eigenvalues of a clamped plate problem
Daguang Chen, Qing-Ming Cheng, Guoxin Wei
This paper studies eigenvalues of the clamped plate problem on a bounded domain in an -dimensional Euclidean space. We give an estimate for the gap between $\sqrt {Γ_{k+1}-Γ_{1}…
math.DG2016
Estimates for the first eigenvalue of Jacobi operator on hypersurfaces with constant mean curvature in spheres
Daguang Chen, Qing-Ming Cheng
In this paper, we study the first eigenvalue of Jacobi operator on an -dimensional non-totally umbilical compact hypersurface with constant mean curvature in the unit sphere…