Publications and preprints:
 Twophase semilinear free boundary problem with a degenerate phase, Calculus of Variations and PDE's, to appear, with A. Petrosyan.
 Almost monotonicity formulas for elliptic and parabolic operators with variable coefficients, Communications On Pure & Applied Mathematics, 64 (2011), no. 2, 271311, with A. Petrosyan.
 A level set based shape optimization method for an elliptic obstacle problem, M3 AS: Mathematical Models and Methods in Applied Sciences, to appear, with M. Burger and M.T. Wolfram.
 On a parabolic free boundary equation modeling price formation, M3 AS: Mathematical Models and Methods in Applied Sciences, vol 19, 10(2009), 19291957, with P.A. Markowich, J.F. Pietschmann, and M.T. Wolfram.
 Regularity of a free boundary in parabolic problem without sign restriction, Indiana Univ. Math. J., 58, No. 2 (2009), with D.E. Apushkinskaya and N.N. Uraltseva.
 On the tangential touch between the free and the fixed boundaries for the twophase obstaclelike problem, Ark. Mat. 44 (2006), no. 1, 1—15, with J. Andersson, H. Mikayelyan
 Tangential touch between free and fixed boundaries in a problem from superconductivity. Comm. Partial Differential Equations 30 (2005), no. 79, 12051216.
 Behavior of the free boundary near contact points with the fixed boundary for nonlinear elliptic equations. Monatsh. Math. 142 (2004), no. 12, 17—25, with Markowich, Peter A.
 Three spheres theorem for harmonic functions. J. Contemp. Math. Anal. 34 (1999), no. 3, 19 (2000); translated from Izv. Nats. Akad. Nauk Armenii Mat. 34 (1999), no. 3, 513 (2001), with Arakelian, N. U.

