A Reilly type integral formula and its applications

IF 0.6 4区数学 Q3 MATHEMATICS

Differential Geometry and its Applications Pub Date : 2024-03-27 DOI:10.1016/j.difgeo.2024.102136

Guangyue Huang, Bingqing Ma, Mingfang Zhu

引用次数: 0

Abstract

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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雷利型积分公式及其应用

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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来源期刊

Differential Geometry and its Applications 数学-数学

CiteScore

1.00

自引率

20.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Differential Geometry and its Applications publishes original research papers and survey papers in differential geometry and in all interdisciplinary areas in mathematics which use differential geometric methods and investigate geometrical structures. The following main areas are covered: differential equations on manifolds, global analysis, Lie groups, local and global differential geometry, the calculus of variations on manifolds, topology of manifolds, and mathematical physics.