雷利型积分公式及其应用

Pub Date : 2024-03-27 DOI:10.1016/j.difgeo.2024.102136

Guangyue Huang, Bingqing Ma, Mingfang Zhu

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引用次数: 0

摘要

在本文中，我们得到了与ϕ-拉普拉卡矩相关的雷利型积分公式。作为其应用，我们得到了 Heintze-Karcher 和 Minkowski 型不等式。此外，我们还给出了近乎舒尔的定理。它们恢复了 Li 和 Xia 在 [17] 中的部分结果。另一方面，我们还研究了 Wentzell 边界条件下的特征值问题，并得到了特征值关系。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A Reilly type integral formula and its applications

In this paper, we achieve a Reilly type integral formula associated with the ϕ-Laplacian. As its applications, we obtain Heintze-Karcher and Minkowski type inequalities. Furthermore, almost Schur lemmas are also given. They recover the partial results of Li and Xia in [17]. On the other hand, we also study eigenvalue problem for Wentzell boundary conditions and obtain eigenvalue relationships.

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