MINIMAL GRAPHS WITH DISCONTINUOUS BOUNDARY VALUES

DOI10.1017/S1446788708000335zbMath1161.53010OpenAlexW2048056833MaRDI QIDQ3624626

Robert Huff, John McCuan

Publication date: 30 April 2009

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

Full work available at URL: https://doi.org/10.1017/s1446788708000335

zbMATH Keywords

minimal surface equationextremal lengthWeierstrass representationboundary regularity

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Boundary values of solutions to elliptic equations and elliptic systems (35J67)

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Cites Work

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• The best modulus of continuity for solutions of the minimal surface equation
• Global estimates of Hölder continuity for a class of divergente-form elliptic equations
• New estimates for equations of minimal surface type
• Solutions of the minimal surface equation continuous and discontinuous at the boundary

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