Surfaces of prescribed mean curvature vector in semi-Riemannian manifolds

DOI10.1016/j.jmaa.2012.05.004zbMath1251.53036OpenAlexW2002161818WikidataQ115346129 ScholiaQ115346129MaRDI QIDQ441958

Lars Schäfer, Matthias Bergner

Publication date: 8 August 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.05.004

zbMATH Keywords

mean curvature flowhyperbolic systemprescribed mean curvaturegeneralized area functionalsquasilinear initial value problem

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Local submanifolds (53B25) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Cites Work

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• The Dirichlet problem for graphs of prescribed anisotropic mean curvature in ℝn+1
• Partial differential equations 2. Functional analytic methods. With consideration of lectures by E. Heinz

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