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arXiv · 2011.03299

The Thin Obstacle Problem: A Survey

Xavier Fernández-Real
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Abstract

In this work we present a general introduction to the Signorini problem (or thin obstacle problem). It is a self-contained survey that aims to cover the main currently known results regarding the thin obstacle problem. We present the theory with some proofs: from the optimal regularity of solutions and classification of free boundary points, to more recent results on the non-regular part of the free boundary and generic regularity.

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Xavier Fernández-Real. 2020-11-06. The Thin Obstacle Problem: A Survey. https://arxiv.org/abs/2011.03299

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