Some remarks on stability of cones for the one-phase free boundary problem
We show that stable cones for the one-phase free boundary problem are hyperplanes in dimension 4. As a corollary, both one and two-phase energy minimizing hypersurfaces are smooth in dimension 4. Keywords: Free Boundary; Minimal Surface; Free Boundary Problem; Stable Cone; Strict Subsolution
Main Authors: | Savin, Ovidiu (Author), Jerison, David S (Contributor) |
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Other Authors: | Massachusetts Institute of Technology. Department of Mathematics (Contributor) |
Format: | Article |
Language: | English |
Published: |
Springer Nature,
2018-05-23T17:06:31Z.
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Subjects: | |
Online Access: | Get fulltext |
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