Complete surfaces of constant anisotropic mean curvature

Gálvez, José A.; Mira, Pablo; Tassi, Marcos P.

doi:10.1016/j.aim.2023.109137

Advances in Mathematics

2023

DOI: 10.1016/j.aim.2023.109137

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Complete surfaces of constant anisotropic mean curvature

José A. Gálvez

Pablo Mira

Marcos P. Tassi

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2024

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A note on the anisotropic Bernstein problem in ℝ³

Rosales

2024

Proc. Amer. Math. Soc. Ser. B

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It was proved by Jenkins [Arch. Rational Mech. Anal. 8 (1961), 181–206] that a smooth entire graph in R 3 {\mathbb {R}}^3 with vanishing anisotropic mean curvature must be a plane. By using a calibration argument and a stability inequality we show here a different self-contained proof of this result, which is still valid when the anisotropic mean curvature is constant.

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A note on the anisotropic Bernstein problem in ℝ³

Rosales

2024

Proc. Amer. Math. Soc. Ser. B

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Complete surfaces of constant anisotropic mean curvature

Cited by 1 publication

References 30 publications

A note on the anisotropic Bernstein problem in ℝ³

A note on the anisotropic Bernstein problem in ℝ³

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