Homogenization of Oscillating Free Boundaries: The Elliptic Case

DOI10.1080/03605300600635038zbMath1122.35156OpenAlexW1980200805MaRDI QIDQ3436032

Luis A. Caffarelli, Ki-Ahm Lee

Publication date: 8 May 2007

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605300600635038

zbMATH Keywords

viscosity solutionhomogenizationsubsolutionsupersolutionsflame propagation

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Free boundary problems for PDEs (35R35) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25)

Related Items (6)

Viscosity method for homogenization of parabolic nonlinear equations in perforated domains ⋮ Homogenization of a Model Problem on Contact Angle Dynamics ⋮ On the geometry and regularity of largest subsolutions for a free boundary problem in \(R^2\): elliptic case ⋮ A free boundary problem with facets ⋮ Homogenization of a singular perturbation problem ⋮ Limit shapes of local minimizers for the Alt-Caffarelli energy functional in inhomogeneous media

Cites Work

• A Harnack inequality approach to the regularity of free boundaries part II: Flat free boundaries are Lipschitz
• Variational problems with two phases and their free boundaries
• A Free-Boundary Problem for the Heat Equation Arising in Flame Propagation
• Planelike minimizers in periodic media
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