The thin obstacle problem : a survey
Fernandez-Real, Xavier (École Polytechnique Fédérale de Lausanne)

Fecha:	2022
Resumen:	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.
Nota:	This work has received funding from the European Research Council (ERC) under Grant Agreement No 721675, and from the Swiss National Science Foundation under SNF Grant 200021 182565.
Derechos:	Tots els drets reservats.
Lengua:	Anglès
Documento:	Article ; recerca ; Versió publicada
Materia:	Thin obstacle problem ; Signorini problem ; Survey ; Free boundary ; Fractional obstacle problem
Publicado en:	Publicacions matemàtiques, Vol. 66 Núm. 1 (2022) , p. 3-55 (Articles) , ISSN 2014-4350

Adreça original: https://raco.cat/index.php/PublicacionsMatematiques/article/view/396317
DOI: 10.5565/PUBLMAT6612201

53 p, 580.5 KB

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