The mean curvature measure

DOI10.4171/JEMS/318zbMath1246.35199arXiv0912.0341OpenAlexW2017065720MaRDI QIDQ2428718

Neil S. Trudinger, Xu-Jia Wang, Qiu-Yi Dai

Publication date: 20 April 2012

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

Full work available at URL: https://arxiv.org/abs/0912.0341

zbMATH Keywords

weak solutionHarnack inequalitymean curvature measureweak continuity of mean curvature operator

Mathematics Subject Classification ID

Weak solutions to PDEs (35D30) Quasilinear elliptic equations with mean curvature operator (35J93) PDEs with measure (35R06)

Related Items (4)

A potential theory for the \(k\)-curvature equation ⋮ The mean curvature measure ⋮ Unnamed Item ⋮ Full and partial regularity for a class of nonlinear free boundary problems

Cites Work

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• Level set approach to mean curvature flow in arbitrary codimension
• On the equation of surfaces of prescribed mean curvature. Existence and uniqueness without boundary conditions
• Regularity properties of \(H\)-graphs
• On the Dirichlet problem for surfaces of prescribed mean curvature
• The mean curvature measure
• Curvature Measures

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