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arXiv · 2506.21942

Remarks on the fine structure of the free boundary (the no-sign obstacle problem)

Seongmin Jeon·Henrik Shahgholian
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Abstract

We present a number of results inspired by the approach developed in a recent work by A. Figalli and J. Serra on the fine structure of the obstacle problem, which turns out to be partially effective in addressing the no-sign obstacle problem. However, we also highlight one or two central questions that remain open and appear to require different techniques not presently available to us.

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Seongmin Jeon, Henrik Shahgholian. 2025-06-27. Remarks on the fine structure of the free boundary (the no-sign obstacle problem). https://arxiv.org/abs/2506.21942

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