Xavier Fernández-Real
Published 2020-11-06Version 1
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.
Optimal regularity for the Signorini problem
Generic regularity of free boundaries for the thin obstacle problem
Almost minimizers for the thin obstacle problem with variable coefficients
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