Equilibrium solutions to generalized motion by mean curvature

DOI10.1007/BF02922673zbMath0941.35028MaRDI QIDQ1127888

William P. Ziemer, Peter Sternberg, Tom Ilmanen

Publication date: 10 September 1998

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

zbMATH Keywords

obstacle problemsminimal surfacesviscosity solutionslevel set flowstable varifolds

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Minimal surfaces and optimization (49Q05) Nonlinear elliptic equations (35J60)

Related Items (5)

Mean convex smoothing of mean convex cones ⋮ An existence theorem for Brakke flow with fixed boundary conditions ⋮ On a dynamic boundary condition for singular degenerate parabolic equations in a half space ⋮ On the strong maximum principle and the large time behavior of generalized mean curvature flow with the Neumann boundary condition ⋮ Statistical exponential formulas for homogeneous diffusion

Cites Work

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• Motion of level sets by mean curvature. I
• Motion of level sets by mean curvature. III
• Motion of a set by the curvature of its boundary
• Generalized motion by curvature with a Dirichlet condition
• A strong maximum principle for singular minimal hypersurfaces
• Minimal cones and the Bernstein problem
• The Constrained Least Gradient Problem in R n
• Regularity of stable minimal hypersurfaces
• Motion of Level Sets by Mean Curvature. II
• Elliptic regularization and partial regularity for motion by mean curvature
• An evolution problem for linear growth functionals
• Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations

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