Department of Mathematics

Arshak Petrosyan

Publications listed in MathSciNet

[1] Donatella Danielli and Arshak Petrosyan. Full regularity of the free boundary in a Bernoulli-type problem in two dimensions. Math. Res. Lett., 13(4):667-681, 2006.
[2] Arshak Petrosyan and Enrico Valdinoci. Density estimates for a degenerate/singular phase-transition model. SIAM J. Math. Anal., 36(4):1057-1079 (electronic), 2005.
[3] Donatella Danielli and Arshak Petrosyan. A minimum problem with free boundary for a degenerate quasilinear operator. Calc. Var. Partial Differential Equations, 23(1):97-124, 2005.
[4] Arshak Petrosyan and Enrico Valdinoci. Geometric properties of Bernoulli-type minimizers. Interfaces Free Bound., 7(1):55-77, 2005.
[5] Luis Caffarelli, Arshak Petrosyan, and Henrik Shahgholian. Regularity of a free boundary in parabolic potential theory. J. Amer. Math. Soc., 17(4):827-869 (electronic), 2004.
[6] D. Danielli, A. Petrosyan, and H. Shahgholian. A singular perturbation problem for the p-Laplace operator. Indiana Univ. Math. J., 52(2):457-476, 2003.
[7] Arshak Petrosyan. On existence and uniqueness in a free boundary problem from combustion. Comm. Partial Differential Equations, 27(3-4):763-789, 2002.
[8] Juan Manfredi, Arshak Petrosyan, and Henrik Shahgholian. A free boundary problem for -Laplace equation. Calc. Var. Partial Differential Equations, 14(3):359-384, 2002.
[9] Arshak Petrosyan. Propagation of smallness and the uniqueness of solutions to some elliptic equations in the plane. J. Math. Anal. Appl., 267(2):460-470, 2002.
[10] Arshak Petrosyan. Convexity and uniqueness in a free boundary problem arising in combustion theory. Rev. Mat. Iberoamericana, 17(3):421-431, 2001.
[11] L. Karp, T. Kilpeläinen, A. Petrosyan, and H. Shahgholian. On the porosity of free boundaries in degenerate variational inequalities. J. Differential Equations, 164(1):110-117, 2000.
[12] Arshak Petrosyan. Some extremal problems for analytic functions. Complex Variables Theory Appl., 39(2):137-159, 1999.
[13] S. Dalalyan and A. Petrosyan. The slice classification of categories of coalgebras for comonads. Algebra Universalis, 41(3):177-185, 1999.