Ein verbesserter Existenzsatz für Flächen konstanter mittlerer Krümmung. (An improved existence theorem for surfaces of constant mean curvature)

DOI10.1007/BF01369709zbMath0229.53011OpenAlexW2914004096MaRDI QIDQ2550221

Klaus Steffen

Publication date: 1972

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/154088

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10)

Related Items

Nonuniqueness in the Plateau problem for surfaces of constant mean curvature ⋮ On the nonuniqueness of surfaces with constant mean curvature spanning a given contour ⋮ On the existence of integral currents with prescribed mean curvature vector ⋮ The Plateau problem for symmetric surfaces ⋮ On the existence of surfaces with prescribed mean curvature and boundary ⋮ Isoperimetric inequalities and the problem of Plateau ⋮ Uniqueness of harmonic mappings and of solutions of elliptic equations on Riemannian manifolds ⋮ The non-existence of branch points in solutions to certain classes of Plateau type variational problems ⋮ The Dirichlet problem with a volume constraint ⋮ An existence theorem for surfaces in equilibrium satisfying a volume constraint ⋮ Flächen konstanter mittlerer Krümmung mit vorgegebenem Volumen oder Flächeninhalt ⋮ Large H-surfaces via the mountain-pass-lemma ⋮ Plateau's problem for surfaces of prescribed mean curvature in given regions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Das Problem von Douglas für Flächen konstanter mittlerer Krümmung
• An existence theorem for surfaces of constant mean curvature
• Über Flächen konstanter mittlerer Krümmung
• On the nonexistence of a surface of constant mean curvature with finite area and prescribed rectifiable boundary
• The Plateau problem for surfaces of prescribed mean curvature in a cylinder
• Über die Existenz einer Fläche konstanter mittlerer Krümmung bei vorgegebener Berandung
• Surface Area. (AM-35)
• On the plateau problem for surfaces of constant mean curvature
• The Isoperimetric Inequality and the Lebesgue Definition of Surface Area