The Plateau problem for surfaces of prescribed mean curvature in a cylinder

DOI10.1007/BF01390099zbMath0214.11103MaRDI QIDQ2545243

Robert Gulliver, Joel Spruck

Publication date: 1971

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142089

Mathematics Subject Classification ID

Manifolds and measure-geometric topics (49Q99)

Related Items

On the existence of surfaces with prescribed mean curvature and boundary in higher dimensions, On the nonuniqueness of surfaces with constant mean curvature spanning a given contour, Flächen vorgeschriebener mittlerer Krümmung mit eineindeutiger Projektion auf eine Ebene, Existence and regularity for higher-dimensional \(H\)-systems, The evolution of \(H\)-surfaces with a Plateau boundary condition, On the existence of surfaces with prescribed mean curvature and boundary, Isoperimetric inequalities and the problem of Plateau, Über einen neuen Existenzsatz für Flächen vorgeschriebener mittlerer Krümmung, An existence theorem for surfaces in equilibrium satisfying a volume constraint, Ein verbesserter Existenzsatz für Flächen konstanter mittlerer Krümmung. (An improved existence theorem for surfaces of constant mean curvature), Surfaces of constant mean curvature which have a simple projection, Flächen konstanter mittlerer Krümmung mit vorgegebenem Volumen oder Flächeninhalt, Existence of surfaces with prescribed mean curvature vector, On the nonexistence of a hypersurface of prescribed mean curvature with a given boundary, Weak solutions to the heat flow for surfaces of prescribed mean curvature, On stable surfaces of prescribed mean curvature with partially free boundaries, Plateau's problem for surfaces of prescribed mean curvature in given regions

Cites Work

• Unnamed Item
• Ein einfacher Beweis eines Regularitätssatzes für schwache Lösungen gewisser elliptischer Systeme
• An existence theorem for surfaces of constant mean curvature
• On the nonexistence of a surface of constant mean curvature with finite area and prescribed rectifiable boundary
• Über einen neuen Existenzsatz für Flächen vorgeschriebener mittlerer Krümmung
• Über die Existenz einer Fläche konstanter mittlerer Krümmung bei vorgegebener Berandung
• On the plateau problem for surfaces of constant mean curvature
• The Dirichlet Problem for Surfaces of Constant Mean Curvature
• On regularity of generalized surfaces of constant mean curvature