# On stable hypersurfaces with constant mean curvature in Euclidean spaces

On stable hypersurfaces with constant mean curvature in Euclidean spaces - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

Descargar gratis o leer online en formato PDF el libro: On stable hypersurfaces with constant mean curvature in Euclidean spaces
In this paper, we derive curvature estimates for strongly stable hypersurfaces with constant mean curvature immersed in $\mathbb{R}^{n+1}$, which show that the locally controlled volume growth yields a globally controlled volume growth if $\partial M=\emptyset$. Moreover, we deduce a Bernstein-type theorem for complete stable hypersurfaces with constant mean curvature of arbitrary dimension, given a finite $L^p$-norm curvature condition.

Autor: Jinpeng Lu

Fuente: https://archive.org/