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July/August 2009 Uniqueness of constant weakly anisotropic mean curvature immersion of sphere $S^2$ in $\mathbb R^3$
Yoshikazu Giga, Jian Zhai
Adv. Differential Equations 14(7/8): 601-619 (July/August 2009).

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.

Citation

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Yoshikazu Giga. Jian Zhai. "Uniqueness of constant weakly anisotropic mean curvature immersion of sphere $S^2$ in $\mathbb R^3$." Adv. Differential Equations 14 (7/8) 601 - 619, July/August 2009.

Information

Published: July/August 2009
First available in Project Euclid: 18 December 2012

zbMATH: 1183.53053
MathSciNet: MR2527686

Subjects:
Primary: 35J20, 53A10, 53B40, 53C42

Rights: Copyright © 2009 Khayyam Publishing, Inc.

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Vol.14 • No. 7/8 • July/August 2009
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