The structure of the regular part of the free boundary close to singularities in the obstacle problem

We prove the –to the best knowledge of the authors– first result on the fine asymptotic behavior of the regular part of the free boundary of the obstacle problem close to singularities. The result is motivated by a recent answer to a long standing conjecture concerning the classification of global s...

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Bibliographic Details
Published inJournal of Differential Equations Vol. 377; pp. 873 - 887
Main Authors Eberle, Simon, Shahgholian, Henrik, Weiss, Georg S.
Format Journal Article
LanguageEnglish
Published Elsevier Inc 25.12.2023
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Summary:We prove the –to the best knowledge of the authors– first result on the fine asymptotic behavior of the regular part of the free boundary of the obstacle problem close to singularities. The result is motivated by a recent answer to a long standing conjecture concerning the classification of global solutions of the obstacle problem.
ISSN:0022-0396
1090-2732
1090-2732
DOI:10.1016/j.jde.2023.10.023