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Uniqueness of constant weakly anisotropic mean curvature immersion of sphere \(S^2\) in \(\mathbb{R}^3\)

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Publication:1032700
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zbMath1183.53053MaRDI QIDQ1032700

Jian Zhai, Yoshikazu Giga

Publication date: 26 October 2009

Published in: Advances in Differential Equations (Search for Journal in Brave)


zbMATH Keywords

energy densityconstant anisotropic mean curvatureanisotropic mean curvature immersion


Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Variational problems in a geometric measure-theoretic setting (49Q20) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Variational methods for second-order elliptic equations (35J20)


Related Items (5)

Regularity of weak constant anisotropic mean curvature surfaces ⋮ Uniqueness of critical points of the anisotropic isoperimetric problem for finite perimeter sets ⋮ Hartman-Wintner's theorem and its applications ⋮ Anisotropic isoparametric hypersurfaces in Euclidean spaces ⋮ Very singular diffusion equations: second and fourth order problems




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