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
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| Format: | Article |
| Language: | English |
| Published: |
Springer Nature,
2018-05-23T17:06:31Z.
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| Online Access: | Get fulltext |