Estimates for eigenvalues of a clamped plate problem on Riemannian manifolds
Qing-Ming Cheng, Takamichi Ichikawa, Shinji Mametsuka · Journal of the Mathematical Society of Japan · 2010
In this paper we study eigenvalues of a clamped plate problem on a bounded domain in an n-dimensional complete Riemannian manifold. By making use of Nash's theorem and introducing k free constants, we derive a universal bound for eigenvalues, which solves a problem proposed by Wang and Xia [16].