Sets with spatial boundary and existence of submanifolds with prescribed mean extrinsic curvature of a Lorentzian manifold

zbMath0474.53048MaRDI QIDQ1158849

Jacques Audounet, Daniel Bancel

Publication date: 1981

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

zbMATH Keywords

Lorentz manifoldspace-like hypersurfacesmaximal hypersurfacemean extrinsic curvatureCacciopoli sets

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Global submanifolds (53C40) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Partial differential equations on manifolds; differential operators (58J99)

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Regularity of variational maximal surfaces

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