The Wulff shape minimizes an anisotropic Willmore functional

By Ulrich Clarenz. 2004

47 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Mechanics, Computer Graphics and Computer-Aided Design

View Paper: https://www.semanticscholar.org/paper/cb034164e8311915b50fa76400dc56aa7c362c77

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Harald Garcke
2. Haizhong Li
3. John W. Barrett
4. Robert Nürnberg
5. Yijun He
6. Jianquan Ge
7. Ben Andrews

In Computational Mechanics

1. Harald Garcke
2. Haizhong Li
3. Yijun He

In Computer Graphics and Computer-Aided Design

1. Haizhong Li
2. Yijun He

Citations in the corpus

• COMPACT EMBEDDED HYPERSURFACES WITH CONSTANT HIGHER ORDER ANISOTROPIC MEAN CURVATURES (2007, background): “whose image WF = φ(Sn) is a smooth, convex hypersurface in Rn+1 called the Wulff shape of F (see [2], [3], [7], [11], [12], [13], [14], [16], [18], [19], [24], [25]).”
• Numerical approximation of gradient flows for closed curves in Rd (2010, background): “Clarenz (2004) and Diewald (2005), where the corresponding energy for hypersurfaces in R 3 is treated.”
• Integral formula of Minkowski type and new characterization of the Wulff shape (2007, background): “so, µ1h11 = µ2h22 = � � � = µnhnn and hij = 0 when i 6= j. Then, from [10] or [ 3 ], [14],”