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Minimal graphs in ℝ³ over convex domains

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Publication:4433089
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DOI10.1090/S0002-9939-03-07109-0zbMath1054.49028MaRDI QIDQ4433089

Michael Dorff

Publication date: 29 October 2003

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)


zbMATH Keywords

minimal surfacesconvex domainminimal graphGoursat transformationKrust's theorem


Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05)


Related Items (5)

Area-minimizing subsurfaces of Scherk's singly periodic surface and the catenoid ⋮ Harmonic functions with varying coefficients ⋮ A family of minimal surfaces and univalent planar harmonic mappings ⋮ Classes of meromorphic harmonic functions defined by Sălăgean operator ⋮ Extension of Krust theorem and deformations of minimal surfaces







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