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• W2962783172 abstract "We study the regularity of the free boundary in the fully nonlinear thin obstacle problem. Our main result establishes that the free boundary is C1 near any regular point. This extends to the fully nonlinear setting the celebrated result of Athanasopoulos–Caffarelli–Salsa [1]. The proofs we present here are completely independent from those in [1], and do not rely on any monotonicity formula. Furthermore, an interesting and novel feature of our proofs is that we establish the regularity of the free boundary without classifying blow-ups, a priori they could be non-homogeneous and/or non-unique. We do not classify blow-ups but only prove that they are 1D on {xn=0}." @default.
• W2962783172 created "2019-07-30" @default.
• W2962783172 creator A5005248507 @default.
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• W2962783172 date "2017-08-01" @default.
• W2962783172 modified "2023-09-29" @default.
• W2962783172 title "The structure of the free boundary in the fully nonlinear thin obstacle problem" @default.
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• W2962783172 doi "https://doi.org/10.1016/j.aim.2017.06.032" @default.
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