9 citations · 9 across the 5 of their papers we have counts for
5 papers
Regularity of almost minimizers for the parabolic thin obstacle problem
Seongmin Jeon, Arshak Petrosyan
In this paper, we study almost minimizers for the parabolic thin obstacle (or Signorini) problem with zero obstacle. We establish their -regularity for every , as…
An epiperimetric inequality approach to the regularity of the free boundary in the Signorini problem with variable coefficients
Nicola Garofalo, Arshak Petrosyan, Mariana Smit Vega Garcia
In this paper we establish the regularity of the regular part of the free boundary in the Signorini problem for elliptic operators with variable Lipschitz coefficients. T…
Contact of a thin free boundary with a fixed one in the Signorini problem
Norayr Matevosyan, Arshak Petrosyan
We study the Signorini problem near a fixed boundary, where the solution is "clamped down" or "glued." We show that in general the solutions are at least regular and that…
Higher regularity of the free boundary in the elliptic Signorini problem
Herbert Koch, Arshak Petrosyan, Wenhui Shi
In this paper we study the higher regularity of the free boundary for the elliptic Signorini problem. By using a partial hodograph-Legendre transformation we show that the regular…
Optimal regularity of solutions to the obstacle problem for the fractional Laplacian with drift
Arshak Petrosyan, Camelia A. Pop
We prove existence, uniqueness and optimal regularity of solutions to the stationary obstacle problem defined by the fractional Laplacian operator with drift, in the subcritical re…