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math.AP2019★ 3 cited
Almost minimizers for the thin obstacle problem
Seongmin Jeon, Arshak Petrosyan
We consider Anzellotti-type almost minimizers for the thin obstacle (or Signorini) problem with zero thin obstacle and establish their regularity on the either side of th…
math.AP2019★ 5 cited
Almost minimizers for certain fractional variational problems
Seongmin Jeon, Arshak Petrosyan
In this paper we introduce a notion of almost minimizers for certain variational problems governed by the fractional Laplacian, with the help of the Caffarelli-Silvestre extension.…