A sharp bound for the growth of minimal graphs

DOI10.1007/S40315-021-00417-1zbMath1491.53012arXiv2008.10195OpenAlexW3209462782MaRDI QIDQ2129495

Allen Weitsman

Publication date: 22 April 2022

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.10195

zbMATH Keywords

minimal surfaceasymptoticsharmonic mapping

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Cites Work

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• Growth of solutions to the minimal surface equation over domains in a half plane
• Meromorphic functions with large sums of deficiencies
• Variational problems of minimal surface type. II: Boundary value problems for the minimal surface equation
• SOME SINGULARITIES IN THE BEHAVIOR OF SOLUTIONS OF EQUATIONS OF MINIMAL-SURFACE TYPE IN UNBOUNDED DOMAINS
• On nevanlinna's inverse problem
• On the growth of minimal graphs
• Phragmen-Lindelof Theorem for the Minimal Surface Equation
• On new results in the theory of minimal surfaces
• On the growth of solutions to the minimal surface equation over domains containing a halfplane

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