Comptes Rendus
no. 9
Calculus of variations
Regularity of weak constant anisotropic mean curvature surfaces

Presented by: Haïm Brezis

Jian Zhai1
1 Department of Mathematics, Zhejiang University, Hangzhou 310027, PR China
Comptes Rendus. Mathématique, Volume 344 (2007) no. 9, pp. 603-606.

In this Note a definition of weak constant anisotropic mean curvature surfaces and the expression in conformal coordinates of the anisotropic mean curvature of surfaces in R3 are obtained. Moreover, we prove that all weak constant anisotropic mean curvature surfaces in R3 are continuous.

Dans cette Note on donne une définition des solutions faibles du problème des surfaces à courbure moyenne anisotropique constante ; dans R3 on donne une représentation en coodonnées conformes des solutions. De plus, dans la cas de R3, nous démontrons la continuité de toutes les solutions.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2007.03.004

Jian Zhai 1

1 Department of Mathematics, Zhejiang University, Hangzhou 310027, PR China 
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Jian Zhai. Regularity of weak constant anisotropic mean curvature surfaces. Comptes Rendus. Mathématique, Volume 344 (2007) no. 9, pp. 603-606. doi : 10.1016/j.crma.2007.03.004. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2007.03.004/

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