Existence of surfaces with prescribed mean curvature vector

DOI10.1007/BF01187221zbMath0261.53041OpenAlexW2005012837MaRDI QIDQ2560640

Robert Gulliver

Publication date: 1973

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/171883

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Global submanifolds (53C40) Global Riemannian geometry, including pinching (53C20)

Related Items

The isoperimetric problem in higher codimension ⋮ Stability of submanifolds with parallel mean curvature in calibrated manifolds ⋮ Some regularity results for quasilinear elliptic systems of second order ⋮ Branched immersions of surfaces and reduction of topological type. II ⋮ A class of variational problems with linear growth ⋮ Conformally invariant variational integrals and the removability of isolated singularities

Cites Work

• The Plateau problem for surfaces of prescribed mean curvature in a Riemannian manifold
• Ein einfacher Beweis eines Regularitätssatzes für schwache Lösungen gewisser elliptischer Systeme
• The Plateau problem for surfaces of prescribed mean curvature in a cylinder
• The problem of Plateau on a Riemannian manifold
• Über die Existenz einer Fläche konstanter mittlerer Krümmung bei vorgegebener Berandung
• Submanifolds with Constant Mean Curvature
• On the plateau problem for surfaces of constant mean curvature
• Two‐dimensional variational problems with obstructions, and Plateau's problem for h‐surfaces in a riemannian manifold
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