Regularity of Free Boundary Minimal Surfaces in Locally Polyhedral Bomains
[Virtual] Hot Topics: Regularity Theory for Minimal Surfaces and Mean Curvature Flow March 21, 2022 - March 24, 2022
Location: SLMath: Online/Virtual
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Regularity Of Free Boundary Minimal Surfaces In Locally Polyhedral Bomains
We prove an Allard-type regularity theorem for free- boundary minimal surfaces in Lipschitz domains locally modelled on convex polyhedra. We show that if such a minimal surface is sufficiently close to an appropriate free-boundary plane, then the surface is graphical over this plane. We apply our theorem to prove partial regularity results for free-boundary minimizing hypersurfaces, and isoperimetric regions. This is based on a joint work with Nick Edelen.
Regularity Of Free Boundary Minimal Surfaces In Locally Polyhedral Bomains
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