论文标题
Reilly类型的积分公式及其应用
A Reilly type integral formula and its applications
论文作者
论文摘要
在本文中，我们实现了与$ ϕ $ -laplacian相关的Reilly Type积分公式。作为其应用，我们获得了Heintze-Karcher和Minkowski类型的不平等现象。此外，还给出了几乎舒尔的引理。他们在[15]中恢复了Li和Xia的部分结果。另一方面，我们还研究温泽尔边界条件的特征值问题并获得特征值关系。
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 [15]. On the other hand, we also study eigenvalue problem for Wentzell boundary conditions and obtain eigenvalue relationships.
