9 citations · 9 across the 4 of their papers we have counts for
Showing 2014Show all
3 papers · 1 filter
math.AP2014
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…
math.AP2014★ 9 cited
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…
math.AP2014
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…