79 citations · 125 across the 17 of their papers we have counts for
4 papers · 1 filter
The regular free boundary in the thin obstacle problem for degenerate parabolic equations
Agnid Banerjee, Donatella Danielli, Nicola Garofalo +1
In this paper we study the existence, the optimal regularity of solutions, and the regularity of the free boundary near the so-called \emph{regular points} in a thin obstacle probl…
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…
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.…
The structure of the singular set in the thin obstacle problem for degenerate parabolic equations
Agnid Banerjee, Donatella Danielli, Nicola Garofalo +1
We study the singular set in the thin obstacle problem for degenerate parabolic equations with weight for . Such problem arises as the local extension of the…