Variational problems with obstacles and a volume constraint

DOI10.1007/BF01214305zbMath0284.49017OpenAlexW2014888958MaRDI QIDQ1845199

Stefan Hildebrandt, Henry C. Wente

Publication date: 1973

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

Full work available at URL: https://eudml.org/doc/171995

Mathematics Subject Classification ID

Manifolds and measure-geometric topics (49Q99)

Related Items (11)

Regularity for stationary surfaces of constant mean curvature with free boundaries ⋮ Free boundary problems for minimal surfaces and related questions ⋮ Area-minimizing integral currents with movable boundary parts of prescribed mass ⋮ On variational problems with obstacles and integral constraints for vector-valued functions ⋮ Area-minimizing disks with free boundary and prescribed enclosed volume ⋮ On the obstacle problem with a volume constraint ⋮ The non-existence of branch points in solutions to certain classes of Plateau type variational problems ⋮ Boundary regularity for solutions of a partitioning problem ⋮ Elastic knots in Euclidean 3-space ⋮ Variational problems with non-convex obstacles and an integral constraint for vector-valued functions ⋮ Unnamed Item

Cites Work

• Unnamed Item
• An existence theorem for surfaces in equilibrium satisfying a volume constraint
• Interior \(C^{1+ \alpha}\)-regularity of solutions of two-dimensional variational problems with obstacles
• An existence theorem for surfaces of constant mean curvature
• A general existence theorem for surfaces of constant mean curvature
• The problem of Plateau on a Riemannian manifold
• Two‐dimensional variational problems with obstructions, and Plateau's problem for h‐surfaces in a riemannian manifold

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