A note on the singular set of the no-sign obstacle problem

Published 25 Apr 2022 in math.AP | (2204.11426v2)

Abstract: In this note, we prove the uniqueness of blowups at singular points of the no-sign obstacle problem $\Delta u=\chi_{_{B_1\backslash {u=|Du|=0}}}\ \text{in}\ B_1,$ thus give a positive answer to a problem raised in \cite[Notes of Chaper 7, page 149]{PSU12}.

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