On singular points of solutions of the minimal surface equation on sets of positive measure

DOI10.1007/s10688-018-0209-4zbMath1394.35184OpenAlexW2794582040MaRDI QIDQ1646321

A. V. Pokrovskiĭ

Publication date: 25 June 2018

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10688-018-0209-4

zbMATH Keywords

minimal surface equationnon-extendable solutionssolutions in a Hölder class

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Continuation and prolongation of solutions to PDEs (35B60)

Cites Work

• \(C^ m\) approximation by solutions of elliptic equations, and Calderón-Zygmund operators
• Removable sets of analytic functions satisfying a Lipschitz condition
• Removable singularities for nonlinear elliptic equations
• Isolated singularities of minimal surfaces
• Removable Singularities of Continuous Harmonic Functions in Rm.
• Removable singularities of solutions of elliptic equations
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