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Oct 28, 2022 at 14:22 comment added Paolo Intuito Let me add that this theorem has been extended to a bound on the curvature in the viscosity sense (see Theorem 1.6 of 10.1007/s00526-017-1263-0).
Sep 21, 2022 at 18:50 history edited Anton Petrunin CC BY-SA 4.0
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Sep 20, 2022 at 9:30 comment added Yaakov Baruch Nice. I immediately thought that at any point on the boundary there has to be a disk tangent to it and inside $F$... But of course that is not the case!
Jan 15, 2021 at 21:24 history edited Anton Petrunin CC BY-SA 4.0
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Dec 31, 2020 at 4:06 comment added Deane Yang This was on my written qualifying exam! Afterward, the person who put it on the exam realized they did not know how to prove it.
S Dec 31, 2020 at 0:45 history answered Anton Petrunin CC BY-SA 4.0
S Dec 31, 2020 at 0:45 history made wiki Post Made Community Wiki by Anton Petrunin