单位圆盘与多圆柱上重调和算子的特征值估计

Eigenvalue Estimates of Biharmonic Operate on Unit Disk and Multi Cylinder

主要对单位圆盘Δ1和多圆柱Δn上的Clamped Plate问题或Dirichlet双调和算子的问题进行了研究.得到了单位圆盘Δ1和多圆柱Δn上Dirichlet重调和算子Δ2的两特征值不等式.

The Clamped problem or the problem about Dirichlet biharmonic operator on unit disk △^1 and multi cylinder △^n are studied. Two eigenvalue inequalities of Dirichlete biharmonie operator △^2 on unit disk △^1 and multi cylinder An are obtained.