论文标题
特征值不平等，用于偏离任意秩序的拉普拉斯的屈曲问题
Eigenvalue inequalities for the buckling problem of the drifting Laplacian of arbitrary order
论文作者
论文摘要
在本文中，我们研究了在完全平滑的度量度量空间（SMMMS）中，在有限的连接域（SMMSS）中的任意顺序漂流Laplacian的屈曲问题，并成功获得其特征值的一般不平等。通过应用这种普遍的不平等，如果完整的SMMS被认为满足了一些曲率约束，我们就可以为此屈曲问题的特征值获得普遍的不平等现象。
In this paper, we investigate the buckling problem of the drifting Laplacian of arbitrary order on a bounded connected domain in complete smooth metric measure spaces (SMMSs) supporting a special function, and successfully get a general inequality for its eigenvalues. By applying this general inequality, if the complete SMMSs considered satisfy some curvature constraints, we can obtain a universal inequalities for eigenvalues of this buckling problem.
