On two-dimensional immersions that are stable for parametric functionals of constant mean curvature type
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Publication:2580931
DOI10.1016/j.difgeo.2005.05.005zbMath1093.53011OpenAlexW2024681933WikidataQ115357951 ScholiaQ115357951MaRDI QIDQ2580931
Publication date: 10 January 2006
Published in: Differential Geometry and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.difgeo.2005.05.005
Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Optimization of shapes other than minimal surfaces (49Q10)
Related Items (4)
On two-dimensional immersions of prescribed mean curvature in \(\mathbb R^{n}\) ⋮ On surfaces of prescribed weighted mean curvature ⋮ Existence, uniqueness and graph representation of weighted minimal hypersurfaces ⋮ Estimates for stable hypersurfaces of prescribed \(F\)-mean curvature
Cites Work
- A priori estimates of the principal curvatures for immersions of prescribed mean curvature and theorems of Bernstein-type
- On certain nonlinear elliptic differential equations and univalent mappings
- Curvature estimates for immersions of minimal surface type via uniformization and theorems of Bernstein type
- Flächen vorgeschriebener mittlerer Krümmung mit eineindeutiger Projektion auf eine Ebene
- Existence of smooth embedded surfaces of prescribed genus that minimize parametric even elliptic functionals on 3-manifolds
- Curvature estimates and compactness theorems in 3-manifolds for surfaces that are stationary for parametric elliptic functionals
- INTRODUCTION OF ISOTHERMAL PARAMETERS INTO A RIEMANNIAN METRIC BY THE CONTINUITY METHOD
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