### Uniqueness of constant weakly anisotropic mean curvature immersion of sphere $S^2$ in $\mathbb R^3$

#### Abstract

We prove that the constant anisotropic mean curvature immersion of the sphere $S^2$ in $\mathbb R^3$ is unique, provided that anisotropy is weak in the sense that the energy density function is close to the isotropic one.

#### Article information

Source
Adv. Differential Equations Volume 14, Number 7/8 (2009), 601-619.

Dates
First available in Project Euclid: 18 December 2012

Giga, Yoshikazu; Zhai, Jian. Uniqueness of constant weakly anisotropic mean curvature immersion of sphere $S^2$ in $\mathbb R^3$. Adv. Differential Equations 14 (2009), no. 7/8, 601--619. https://projecteuclid.org/euclid.ade/1355867227