4 papers
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}…
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…
The sharp estimates of eigenvalues of Polyharmonic operator and higher order Stokes operator
Daguang Chen, He-Jun Sun
In this paper, we establish some lower bounds for the sums of eigenvalues of the polyharmonic operator and higher order Stokes operator, which are sharper than the recent results i…
Estimates for eigenvalues of a system of of elliptic equations and of the biharmonic operator
Daguang Chen, Qing-Ming Cheng, Qiaoling Wang +1
Let $\om $ be a bounded domain in an -dimensional Euclidean space . We study eigenvalues of an eigenvalue problem of a system of elliptic equations: $$ \{\aligned &Δ{\…