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4 papers · 1 filter
Eigenvalues of the Laplacian on Riemannian manifolds
Qing-Ming Cheng, Xuerong Qi
For a bounded domain with a piecewise smooth boundary in a complete Riemannian manifold , we study eigenvalues of the Dirichlet eigenvalue problem of the Laplacian. By makin…
A lower bound for eigenvalues of a clamped plate problem
Qing-Ming Cheng, Guoxin Wei
In this paper, we study eigenvalues of a clamped plate problem. We obtain a lower bound for eigenvalues, which gives an important improvement of results due to Levine and Protter.
Estimates for lower order eigenvalues of a clamped plate problem
Qing-Ming Cheng, Guangyue Huang, Guoxin Wei
For a bounded domain in a complete Riemannian manifold , we study estimates for lower order eigenvalues of a clamped plate problem. We obtain universal inequalities for lo…
Asymptotic Expansion of the One-Loop Approximation of the Chern-Simons Integral in an Abstract Wiener Space Setting
Itaru Mitoma, Seiki Nishikawa
In an abstract Wiener space setting, we constract a rigorous mathematical model of the one-loop approximation of the perturbative Chern-Simons integral, and derive its explicit asy…