arXiv:2304.03939 Abstract | arXiv Analytics

arXiv:2304.03939 [math.AP]Abstract References Reviews Resources

Compact contact sets of sub-quadratic solutions to the thin obstacle problem

Published 2023-04-08Version 1

We study global solutions to the thin obstacle problem with at most quadratic growth at infinity. We show that every ellipsoid can be realized as the contact set of such a solution. On the other hand, if such a solution has a compact contact set, we show that it must be an ellipsoid.

Categories: math.AP

Subjects: 35R35, 35B65

Keywords: compact contact set, thin obstacle problem, sub-quadratic solutions, study global solutions, quadratic growth

Related articles: Most relevant | Search more

arXiv:2011.03299 [math.AP] (Published 2020-11-06)

The Thin Obstacle Problem: A Survey

Xavier Fernández-Real

arXiv:2209.01063 [math.AP] (Published 2022-09-02)

Generic regularity of free boundaries for the thin obstacle problem

Xavier Fernández-Real, Damià Torres-Latorre

arXiv:2007.07349 [math.AP] (Published 2020-07-12)

Almost minimizers for the thin obstacle problem with variable coefficients