Geodesic
Almost everywhere uniqueness of blow-up limits for the lower dimensional obstacle problem
Maria Colombo1 orcid ; Luca Spolaor2 orcid ; Bozhidar Velichkov3 orcid
1École polytechnique fédérale de Lausanne, Switzerland
2University of California San Diego, USA
3Università di Pisa, Italy
Interfaces and free boundaries, Tome 23 (2021) no. 2, pp. 159-167

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DOI

We answer a question left open in [4] and [3], by proving that the blow-up of minimizers u of the lower dimensional obstacle problem is unique at generic point of the free boundary.
DOI : 10.4171/ifb/452
Classification : 35-XX, 49-XX
Mots-clés : Monotonicity formula, thin obstacle problem, free boundary, singular points, frequency function

Maria Colombo  1   ; Luca Spolaor  2   ; Bozhidar Velichkov  3

1 École polytechnique fédérale de Lausanne, Switzerland
2 University of California San Diego, USA
3 Università di Pisa, Italy 
Maria Colombo; Luca Spolaor; Bozhidar Velichkov. Almost everywhere uniqueness of blow-up limits for the lower dimensional obstacle problem. Interfaces and free boundaries, Tome 23 (2021) no. 2, pp. 159-167. doi: 10.4171/ifb/452
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     title = {Almost everywhere uniqueness of blow-up limits for the lower dimensional obstacle problem},
     journal = {Interfaces and free boundaries},
     pages = {159--167},
     year = {2021},
     volume = {23},
     number = {2},
     doi = {10.4171/ifb/452},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/452/}
}
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