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The variable coefficient thin obstacle problem: optimal regularity and regularity of the regular free boundary

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This article deals with the variable coefficient thin obstacle problem in n+1 dimensions. We address the regular free boundary regularity, the behavior of the solution close to the free boundary and the optimal regularity of the solution in a low regularity set-up. We first discuss the case of zero...

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Main Authors: Koch, Herbert (Author) , Rüland, Angkana (Author) , Shi, Wenhui (Author)
Format: Article (Journal)
Language:English
Published: 2017
In: Annales de l'Institut Henri Poincaré. C, Nonlinear analysis
Year: 2016, Volume: 34, Issue: 4, Pages: 845-897
ISSN:1873-1430
DOI:10.1016/j.anihpc.2016.08.001
Online Access:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1016/j.anihpc.2016.08.001
Verlag, lizenzpflichtig, Volltext: https://www.sciencedirect.com/science/article/pii/S0294144916300452
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Author Notes:Herbert Koch, Angkana Rüland, Wenhui Shi
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The variable coefficient thin obstacle problem: optimal regularity and regularity of the regular free boundary by Koch, Herbert (Author) , Rüland, Angkana (Author) , Shi, Wenhui (Author) ,


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