带权圆盘振动问题的第一特征值估计

Estimates for the First Eigenvalue of Weighted Vibration Problem for a Clamped Plate

研究了具有光滑边界的紧致光滑度量测度空间的带权圆盘振动问题.在m阶权重Ricci曲率有界的条件下,给出了两类边界条件下带权圆盘振动问题的第一非零特征值的下界估计.

In this paper,the weighted vibration problem for a clamped plate on a compact smooth metric measure space with smooth boundary is studied.the lower bound of the first nonzero eigenvalue of the weighted vibration problem for a clamped plate is given with two different boundary conditions under the bounded m weighted Ricci curvature.