6 papers
Eigencone Constellations on Ranked Spheres
Norayr Matevosyan
We introduce eigencone constellations, a hierarchical framework for embedding bounded-degree spatial graphs into concentric spherical shells and partitioning each shell into spectr…
Three-spheres theorem for harmonic functions (non-concentric case)
Norair U. Arakelian, Norayr Matevosyan
A direct analog of Hadamard's three-circle theorem is obtained for harmonic functions (in weighted L^2-norm) in case of (n-1)-dimensional non-concentric spheres in R^n. The result…
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…
Behavior of the free boundary near contact points with the fixed boundary for nonlinear elliptic equations
Norayr Matevosyan, Peter Markowich
The aim of this paper is to study a free boundary problem for a uniformly elliptic fully non-linear operator. Under certain assumptions we show that free and fixed boundaries meet…
Tangential Touch between Free and Fixed Boundaries in a Problem from Superconductivity
Norayr Matevosyan
In this paper we study regularity properties of the free boundary problem from superconductivity close to a fixed boundary. If the origin is a free boundary point, then we show tha…
On the tangential touch between the free and the fixed boundaries for the two-phase obstacle-like problem
John Andersson, Norayr Matevosyan, Hayk Mikayelyan
In this paper we consider the following two-phase obstacle-problem-like equation in the unit half-ball . We prove that the free bou…