A variational approach to the regularity of minimal surfaces of annulus type in Riemannian manifolds

DOI10.1016/j.difgeo.2007.02.011zbMath1354.49089arXivmath/0603610OpenAlexW2067483375WikidataQ115357758 ScholiaQ115357758MaRDI QIDQ2468464

Hwajeong Kim

Publication date: 23 January 2008

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0603610

zbMATH Keywords

regularityminimal surfacesPlateau's problemabstract critical point theoryMorrey's growth condition

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational problems concerning minimal surfaces (problems in two independent variables) (58E12)

Related Items (2)

Morse theory for minimal surfaces in manifolds ⋮ Unstable minimal surfaces of annulus type in manifolds

Cites Work

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• Harmonic maps of manifolds with boundary
• An existence theorem for harmonic mappings of Riemannian manifolds
• Uniqueness and stability of harmonic maps and their Jacobi fields
• On a critical point theory for minimal surfaces spanning a wire in Rn.
• A Morse theory for annulus-type minimal surfaces.
• Embeddings and immersions in Riemannian geometry
• Harmonic Mappings of Riemannian Manifolds

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