The Dirichlet problem with a volume constraint

DOI10.1007/BF01184954zbMath0268.35031OpenAlexW1995139976MaRDI QIDQ758633

Henry C. Wente

Publication date: 1974

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

Full work available at URL: https://eudml.org/doc/154206

Mathematics Subject Classification ID

Related Items (10)

The Dirichlet problem for harmonic maps from the disk into the Euclidean n-sphere ⋮ Large solutions for biharmonic maps in four dimensions ⋮ Multiple solutions of the static Landau-Lifshitz equation from \(B^ 2\) into \(S^ 2\) ⋮ On the nonuniqueness of surfaces with constant mean curvature spanning a given contour ⋮ Area-minimizing disks with free boundary and prescribed enclosed volume ⋮ Partial regularity for stationary harmonic maps into spheres ⋮ Area minimizing hypersurfaces with prescribed volume and boundary ⋮ Regularity of weak solutions to a two-dimensional modified Dirac-Klein- Gordon system of equations ⋮ Large solutions for harmonic maps in two dimensions ⋮ Decomposition of the Hardy space \({\mathcal H}_z^1(\Omega)\)

Cites Work

• An existence theorem for surfaces of constant mean curvature
• On surfaces of constant mean curvature with polygonal boundaries
• Unstable surfaces of constant mean curvature
• A general existence theorem for surfaces of constant mean curvature
• Ein verbesserter Existenzsatz für Flächen konstanter mittlerer Krümmung. (An improved existence theorem for surfaces of constant mean curvature)
• Flächen konstanter mittlerer Krümmung mit vorgegebenem Volumen oder Flächeninhalt
• Surface Area. (AM-35)
• On the Solutions of Quasi-Linear Elliptic Partial Differential Equations

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