A Bernstein type theorem for entire Willmore graphs

DOI10.1007/s12220-011-9264-2zbMath1269.53010OpenAlexW1965720776MaRDI QIDQ1935490

Tobias Lamm, Chen, Jingyi

Publication date: 18 February 2013

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-011-9264-2

zbMATH Keywords

Willmore surfacesBernstein-type result

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Surfaces in Euclidean and related spaces (53A05) Higher-order elliptic equations (35J30)

Related Items (8)

Some remarks on Willmore surfaces embedded in \(\mathbb R^3\) ⋮ Classification of Willmore surfaces with vanishing Gaussian curvature ⋮ Remarks on a Bernstein type theorem for entire Willmore graphs in \(\mathbb R^3\) ⋮ Sufficient conditions for Willmore immersions in \(\mathbb R^3\) to be minimal surfaces ⋮ Radially symmetric solutions to the graphic Willmore surface equation ⋮ The Willmore functional of surfaces ⋮ Willmore Surfaces in Three-Dimensional Simply Isotropic Spaces $$\mathbb {I}_3^1$$ ⋮ Radial solutions of a fourth order Hamiltonian stationary equation

Cites Work

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