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Curvature estimates for minimal hypersurfaces. (English) Zbl 0323.53039


MSC:

53C40 Global submanifolds
49Q05 Minimal surfaces and optimization
53A10 Minimal surfaces in differential geometry, surfaces with prescribed mean curvature
53B25 Local submanifolds
58J99 Partial differential equations on manifolds; differential operators
57R40 Embeddings in differential topology
Full Text: DOI

References:

[1] Almgren, F. J., Jr., Some interior regularity theorems for minimal surfaces and an extension of Bernstein’s theorem.Ann. of Math., 84 (1966), 277–292. · Zbl 0146.11905 · doi:10.2307/1970520
[2] Bernstein, S., Sur un theoreme de geometrie et ses applications aux equations aux derivees partielles du type elliptique.Comm. de la Soc. Math. de Kharkov (2éme Ser.), 15 (1915–1917), 38–45.
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[8] Heinz, E., Über die Lösungen der Minimalflächengleichung,Nachr. Akad. Wiss. Göttingen Math., Phys. K1 II, (1952), 51–56. · Zbl 0048.15401
[9] Hoffman, D. & Spruck, J, Sobolev inequalities on Riemannian manifolds. To appear inComm. Pure Appl. Math.
[10] Morrey, C. B.,Multiple integrals in the calculus of variations. New York, Springer-Verlag, 1966. · Zbl 0142.38701
[11] Osserman, R.,A survey of minimal surfaces. Van Nostrand Reinhold Math. Studies, 1969. · Zbl 0209.52901
[12] Simons, J., Minimal varieties in Reimannian manifolds,Ann. of Math., 88 (1968), 62–105. · Zbl 0181.49702 · doi:10.2307/1970556
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