**65)
** Uniform regularity
close to cross singularities in an unstable free boundary problem, with
J. Andersson, and G. Weiss. Submitted.

**64) ** On the two-phase
membrane problem with coefficients below Lipschitz threshold. Joint
with A: Edquist, and E. Lindgren. Ann. Inst. H. Poincaré
Anal.
Non Linéaire (To appear)

**63) ***A PDE approach to
regularity of solutions to finite horizon optimal switching problmes, *(with
T. Arnarsson, B. Djehiche, M. Poghosyan), * *Nonlinear Analysis, to appear.

**62)
***A parabolic two-phase obstacle-like equation, *joint with Nina Uraltseva, and G.
S. Weiss, Adv in Math., to appear.

** 61)
***Growth estimates through scaling for quasilinear
partial differential equations**, *with Tero
Kilpel¨ainen, Henrik Shahgholian, and Xiao Zhong. *Ann.
Acad. Sci. Fenn.
Math.* 32 (2007),
no.
2, 595--599.

** 60)
****Parabolic
obstacle problems applied to finance: free-boundary-regularity approach**,
with A. Petrosyan, appendix by T. Arnarson, Recent
Developments in
Nonlinear Partial Differential Equations, Contemporary Matematics **439** (2007), 117--133.

** 59)
***The two-phase membrane problem- regularity of the free
boundary in higher dimensions *
(Joint with N. Uraltseva and
G.S. Weiss) *Int.
Math. Res. Not. IMRN* **2007, **no.
8,

** 58)
***Convexity
of the free boundary for an exterior free boundary problem involving
the perimeter, * (Joint with Hayk Mikaelyan)

** 57)
***Geometric and energetic criteria for the free boundary
regularity in an obstacle-type problem* (Joint
with A. Petrosyan) Amer. J. Math. 129 (2007), no. 6, 1659--1688.

** 56)
***Aleksandrov and Kelvin Reflection and the Regularity of Free
Boundaries* (Joint with G.S. Weiss,) Internat. Ser. Numer.
Math., 154, *Birkhäuser**, Basel,*
2007

**55) ***The
Two-Phase Membrane Problem -an Intersection-Comparison Approach to the
Regularity at Branch Points* (Joint with G.S. Weiss) *Adv.
Math.* 205
(2006),
no.
2, 487--503.

**54) ***Convex
configurations for solutions to
semilinear elliptic problems in convex rings*
(Joint with Andrew Acker and Mikayel Poghosyan) *Comm. Partial Differential Equations*
31
(2006), no. 7-9, 1273--1287.

**53)*** Free
boundary regularity close to initial state for parabolic obstacle
problem* Trans. Amer. Math. Soc. 360 (2008), no. 4,
2077--2087.

**52)*** The
singular set for the composite membrane problem*
. Comm. Math. Phys. 271 (2007), no. 1, 93--101.

**51)*** Gamma
limits in some Bernoulli free boundary problem*
(Joint with Bernd Kawohl)

Archive der Mathematik 84 (2005)

**50)*** When Does the Free
boundary enter into corner points of the fixed boundary ?* (Nina
Uraltseva Festschrift: Zap. Nauchn. Sem. S.-Petersburg. Otdel. Mat.
Inst. Steklov.) POMI, Tin press

**49)*** The
structure of the singular set of a free boundary in potential theory*

(Joint with Luis Caffarelli). Journal of Contemporary
Mathematical Analysis; Izvestiya Nationalnoi Akademii Nauk
Armenii. Matematika

**48)*** Quadrature domains and
Brownian motion *
(Harold Shapiro Festschrift, to appear.)

**47)*** Global Solutions of the
Obstacle Problem in Half-spaces, and their impact on Local Stability*
(Joint With John Andersson).

Cal. Var. Partial Differential Equations

**46)*** The
behavior of the Free Boundary near the fixed boundary for a
minimization problem* (Joint with A. Karakhanyan, and C. Kenig)

Cal. Var. Partial Differential Equations

**45)*** Non-convexity of level
sets in convex rings for semilinear elliptic problems*

(Joint with R. Monneau) Indiana Univ. Math. J. 54 No. 2 (2005), 465-472

**44)*** Uniform and tangential
approximation on a stripe by entire functions, having optimal growth*
(Joint with N. Arakelian) Comput. Methods Funct. Theory, 3 (2003), no.
1-2, 359--383

**43) *** Lipschitz property of
the free boundary in the
parabolic obstacle problem*
(Joint with D. Apushkinskaya and N. Uraltseva) Algebra i Analiz, vol 15
(2003), No 3

**42)*** Global
solutions of an obstacle-problem-like equation with two phases*

(Joint with N. Uraltseva and G.S. Weiss) Monatshefte fur Matematik

**41)***
Regularity
of a free boundary in parabolic potential theory* (Joint with L.
Caffarelli and Arshak Petrosyan) J. Amer. Math. Soc., 17 (2004), no. 4,
827--869

**40)*** Free
boundary regularity for a problem arising in Superconductivity*
(Joint with L. Caffarelli and J. Salazar, Arch. Ration. Mech. Anal.,
171 (2004) no. 1, 115--128.

**39)*** The
multi-layer free boundary problem for the $p$-Laplacian in convex
domains* (Joint with Andrew Acker, Antoine Henrot and Mikayel
Poghosyan)

Interfaces and Free boundary

** 38)*** Boundary
Regularity and Compactness for Overdetermined Problems*
(Joint with I. Blank) 4-th issue, vol. 2/2003 Annali Scuola Normale
Superiore-Classe di Scienze, 787-802

** 37)***
$C^{1,1}$-regularity
in semilinear elliptic problems* Comm. Pure Appl. Math. 56
(2003), no. 2, 278--281.

** 36)*** Uniqueness
of a free boundary problem of $p$-parabolic type*
(Joint with Aram Hakobyan) Journal of Contemporary Mathematical
Analysis, vol. 36, No. 5, 2001, pp. 12-18

** 35)*** Generalized
mean value property for caloric functions (Survey)*
(Joint with Aram Hakobyan) Proceeding 3rd International ISAAC Congress,
Vol. II, 891-895

** 34)*** On
the global solutions of the parabolic obstacle problem*
(Joint with D. E. Apushkinskaya, N. N. Uraltseva) Algebra i Analiz 14
(2002), no. 1, 3--25.

** 33)*** An
overdetermined problem in nonlinear parabolic potential theory;
Uniqueness*
(Joint with A. Hakobyan) Potential Analysis volume 21, no. 4 (December
2004).

** 32)*** Singular
perturbation of a free boundary for the $p$-Laplacian*
(Joint with D. Danielli, A. Petrosyan) Indiana Univ. Math. J., 52
(2003) no. 2, 457--476.

**31)*** Hausdorff
dimension and stability of the $p$-obstacle problem $(2 < p )$*
(Joint with Ki-Ahm Lee) J. Differential Equations, 195 (2003), no. 1,
14--24.

**30)*** Analysis
of the free boundary for the $p$-parabolic variational problem*

Revista Matematica Iberoamericana

**29)*** Boundary
estimates for solutions to the parabolic free boundary problem*
(Joint with Darya Apushkinskaya and Nina Uraltseva) Zap. Nauchn. Sem.
S.-Petersburg. Otdel. Mat. Inst. Steklov. (POMI) 271 (2000), Kraev.
Zadachi Mat. Fiz. i
Smezh. Vopr. Teor. Funkts. 31, 39--55, 313.

**28)*** On
Phragmen Lindelof Principle*
(Joint with Ashot Vagharshakyan) Complex Variables Theory Appl. 46
(2001), no. 4, 295--305

**27)*** A
free boundary problem for infinite Laplace equation*
(Joint with Arshak Petrosyan and Juan Manfredi) Calc. Var. Partial
Differential Equations 14 (2002), no. 3, 359--384.

**26)*** The
one phase free boundary problem for the $p$-Laplacian with non-constant
Bernoulli boundary condition*
(Joint with A. Henrot) Trans. Amer. Math. Soc. 354 (2002), no. 6,
2399--2416

**25)*** Regularity
properties of a free boundary near contact points with the fix boundary*
(Joint with N. Uraltseva) Duke Math. J. 116 (2003), no. 1, 1--34

**24)*** The
impact of monotonicity formulas in regularity of free boundaries*
(A survey article) Proceeding of 3d European Math. Congress.

**23)*** Regularity
of a free boundary for viscosity solutions of nonlinear elliptic
equations* (Joint with K. Lee) Comm. on Pure and Applied
Mathematics, Vol. LIV, 0001--0014 (2001).

**22)*** Optimal
growth of functions with bounded Laplacian*
(Joint with L. Karp) Electron. J. Diff. Eqns., Vol. 2000 (2000), No.
03, pp. 1-9.

**21)*** Regularity
of a free boundary at the infinity point*
(Joint with L. Karp) Comm. Partial Differential Equations 25 (2000),
no. 11-12, 2055--2086.

**20)*** Regularity
of a free boundary in potential theory with application to the Pompeiu
problem*
(Joint with L. Caffarelli and L. Karp) Ann. of Math. (2) 151 (2000),
no. 1, 269--292.

**19)*** On
the porosity of free boundaries in degenerate variational inequalities*
(Joint with L. Karp and T. Kilpeläinen, A. Petrosyan) J.
Differential Equations 164 (2000), no. 1, 110--117.

**18)*** Existence
of classical solutions to a free boundary problem for the p-Laplace
operator: (II) the interior convex case*
(Joint with A. Henrot) Indiana Univ. Math. J. 49 (2000), no. 1, 311--323

**17)*** Existence
of classical solutions to a free boundary problem for the p-Laplace
operator: (I) the exterior convex case*
(Joint with A. Henrot) J. Reine Angew. Math. 521 (2000), 85--97

**16)*** Dense
subsets of $L^1$-solutions to elliptic partial differential equations*
J. Approx. Theory 102 (2000), no. 2, 189--216.

**15)*** Two
related minimum problems with free boundaries governed by the
$p$-Laplace operator*
(Joint with H. Hosseinzadeh, Mazandaran Univ.) J. Sci. Univ. Tehran
Int. Ed. 3 (1998), no. 2, 123--137. 35J60 (35R35)

**14)*** Regularity
of a free boundary problem*
(Joint with Lavi Karp) J. Geom. Anal. 9 (1999), no. 4, 653--669

**13)*** Propagation
of smallness for harmonic and analytic functions in arbitrary domains*
(Joint with N. Arakelian, Armenian Academy of Sciences) Bull. London
Math. Soc. 31 (1999) 1--8

**12)*** Some
qualitative aspects of a free boundary problem for the p-Laplace
operator*
(Joint with H. Hosseinzadeh,) Ann. Acad. Sci. Fenn. Math. 24 (1999),
no. 1, 109--121.

**11)*** Uniqueness
in an overdetermined boundary value problem for the p-Laplacian*
(Joint with F. Bahrami) Proc. Amer. Math. Soc. 126 (1998), no. 3,
745--750

**10)*** Convexity
of free boundaries with Bernoulli type boundary condition*
(Joint work with A. Henrot, Besancon, France) Nonlinear Analysis
T.M.A., vol 28, no 5 (1997), pp 815-823.

**9)*** Existence
and geometric properties of solutions of a free boundary problem in
potential theory,* (Joint with B. Gustafsson, KTH) J. Reine
Angew. Math. 473 (1996), 137-179

**8)*** Qualitative
properties of positive solutions to nonlinear PDE and FBP*
Nonlinear Anal. T.M.A. vol 27, (7) pp. 801-809, 1996

**7)*** Existence
of quadrature surfaces for positive Dirac masses* Potential
Anal. 3(1994) pp 245-255

**6)*** Convexity
and uniqueness in an inverse problem of potential theory*, Proc.
Amer. Math. Soc. 116(1992) pp 1097-1099

**5)*** A
characterization of the sphere in terms of single-layer potentials*,
Proc. Amer. Math. Soc. 115(1992) pp 1167-1168

**4)*** Quadrature
surfaces as free boundaries*, Ark. Mat. Vol 32, nr. 2, (1994).

**3)*** On
the Newtonian potential of a heterogeneous ellipsoid*, SIAM J.
Math. Anal. Vol. 22, nr. 5 (1991), pp
1246-1255

**2)*** On
quadrature domains and the Schwarz potential* J. of Math. Anal.
and Appl. 171 (1992) pp 61-78.

**1)*** Unbounded
quadrature domains in R^n* J. Anal. Math. Vol. 56 (1991) pp
281-291.