一类权重散度型椭圆算子的低阶特征值估计

摘要

We studied the Dirichlet problem of elliptic operators in weighted divergence form in Gaussian shrinking soliton, and gave a universal inequality of the lower eigenvalues for this problem.By using this result,an estimation for the lower eigenvalues of Dirichlet problem of the drifting Laplacian in the Gaussian shrinking soliton.%研究高斯收缩孤立子上一类权重散度型椭圆算子的Dirichlet问题,给出关于这一问题的低阶特征值的一个万有不等式.而由这一结果,可得到drifting拉普拉斯算子的Dirichlet问题的低阶特征值在高斯收缩孤立子上的估计结果.