Laplace算子的特征值估计及推广

Eigenvalue estimates of Laplacian and some generalizations

通过构造新的辅助函数讨论Laplace算子的Dirichlet特征值估计,得到的不等式包含了已有的特征值估计,并可导得一些新的不等式。

By constructing new auxiliary function,the estimates for the Dirichlet's eigenvalues of Laplacian are considered.Inequalities,which include the known eigenvalue's estimates are obtained,and new inequalities are given.