An energy estimate for the difference of solutions for the n-dimensional equation with prescribed mean curvature and removable singularities

DOI10.1524/ANLY.2009.1042zbMath1181.35086OpenAlexW2076205290MaRDI QIDQ3398862

Stefan Hildebrandt, Friedrich Sauvigny

Publication date: 29 September 2009

Published in: Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1524/anly.2009.1042

zbMATH Keywords

removability of singularities\(n\)-dimensional graphs of prescribed mean curvature

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Nonlinear elliptic equations (35J60) A priori estimates in context of PDEs (35B45) Quasilinear elliptic equations with mean curvature operator (35J93)

Related Items (3)

On minimal immersions in Finsler space ⋮ The Plateau problem for spiral curves ⋮ Removable singularities of solutions of the symmetric minimal surface equation

Cites Work

• Existence, regularity, and boundary behaviour of generalized surfaces of prescribed mean curvature
• On a theorem of de Giorgi and Stampacchia
• Über ein verallgemeinertes Dirichletsches Problem für die Minimalflächengleichung und hebbare Unstetigkeiten ihrer Lösungen
• Isolated singularities of minimal surfaces
• Isolated Singularities of Solutions of Nonlinear Partial Differential Equations

This page was built for publication: An energy estimate for the difference of solutions for the n-dimensional equation with prescribed mean curvature and removable singularities