AI 中文总结
在具有从下方有界的修正Ricci曲率的完备流形上，建立Witten拉普拉斯算子和加权p-拉普拉斯算子在测地球上的第一狄利克雷特征值的程氏型特征值比较定理。
AI 中文摘要
在本文中，对于具有从下方有界的修正Ricci曲率的完备流形，我们成功地建立了关于这些流形测地球上Witten拉普拉斯算子和加权p-拉普拉斯算子的第一狄利克雷特征值的程氏型特征值比较定理。
英文摘要
In this paper, for complete manifolds with a modified Ricci curvature bounded from below, we can successfully set up Cheng-type eigenvalue comparison theorems for the first Dirichlet eigenvalues of the Witten-Laplacian and the weighted $p$-Laplacian on geodesic balls of these manifolds.
CommentsIn March 2026, the main conclusions of this paper have already been announced roughly in Remark 1.22 of our previous work arXiv:2603.00942v2. However, until now, we find enough time to write down all the details. 18 pages. Comments are welcome. Several typos have been corrected to v1
