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arXiv · 2201.09439

A Reilly type integral formula and its applications

Guangyue Huang·Bingqing Ma·Mingfang Zhu
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Abstract

In this paper, we achieve a Reilly type integral formula associated with the $\phi$-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 [15]. On the other hand, we also study eigenvalue problem for Wentzell boundary conditions and obtain eigenvalue relationships.

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Guangyue Huang, Bingqing Ma, Mingfang Zhu. 2022-01-24. A Reilly type integral formula and its applications. https://arxiv.org/abs/2201.09439

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