Publications and preprints:

1. Three spheres theorem for harmonic functions. J. Contemp. Math. Anal. 34 (1999), no. 3, 1--9 (2000); translated from Izv. Nats. Akad. Nauk Armenii Mat. 34 (1999), no. 3, 5--13 (2001), with Arakelian, N. U.
2. Behavior of the free boundary near contact points with the fixed boundary for nonlinear elliptic equations. Monatsh. Math. 142 (2004), no. 1-2, 17—25, with Markowich, Peter A.
3. Tangential touch between free and fixed boundaries in a problem from superconductivity. Comm. Partial Differential Equations 30 (2005), no. 7-9, 1205--1216.
4. On the tangential touch between the free and the fixed boundaries for the two-phase obstacle-like problem, Ark. Mat. 44 (2006), no. 1, 1—15, with J. Andersson, H. Mikayelyan
5. A level set based shape optimization method for an elliptic obstacle problem, preprint, with M. Burger
6. Regularity of a free boundary in parabolic problem without sign restriction, preprint, with D.E. Apushkinskaya and N.N. Uraltseva.