79 citations · 125 across the 17 of their papers we have counts for
4 papers · 1 filter
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…
Parabolic Boundary Harnack Principles in Domains with Thin Lipschitz Complement
Arshak Petrosyan, Wenhui shi
We prove forward and backward parabolic boundary Harnack principles for nonnegative solutions of the heat equation in the complements of thin parabolic Lipschitz sets given as subg…