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List of recent publications

1	, Truyen Nguyen , Global W^{2,p} estimates for solutions to the linearized Monge-Ampère equations. Math. Ann. 358 (2014),  629–700.
2	, Truyen Nguyen , Geometric properties of boundary sections of solutions to the Monge-Ampère equation and applications. J. Funct. Anal. 264 (2013), 337–361.
3	Global second derivative estimates for the second boundary value problem of the prescribed affine mean curvature and Abreu's equations. Int. Math. Res. Not. IMRN 2013, 2421–2438.
4	, Ovidiu Savin, Boundary regularity for solutions to the linearized Monge-Ampère equations. Arch. Ration. Mech. Anal. 210 (2013), 813–836.
5	, Ovidiu Savin, Some minimization problems in the class of convex functions with prescribed determinant. Anal. PDE 6 (2013), 1025–1050.
6	, Natasa Sesum, Remarks on the curvature behavior at the first singular time of the Ricci flow. Pacific J. Math. 255 (2012), 155–175.
7	Blow up of subcritical quantities at the first singular time of the mean curvature flow. Geom. Dedicata 151 (2011), 361–371.
8	, Sesum Natasa, On the extension of the mean curvature flow. Math. Z. 267 (2011), 583–604.
9	, Sesum Natasa, Blow-up rate of the mean curvature during the mean curvature flow and a gap theorem for self-shrinkers. Comm. Anal. Geom. 19 (2011), 633–659.
10	On the second inner variation of the Allen-Cahn functional and its applications. Indiana Univ. Math. J. 60 (2011), 1843–1856.
11	Gilles A. Francfort, Sylvia Serfaty, Critical points of Ambrosio-Tortorelli converge to critical points of Mumford-Shah in the one-dimensional Dirichlet case. ESAIM Control Optim. Calc. Var. 15 (2009), 576–598.
12	Convergence results for critical points of the one-dimensional Ambrosio-Tortorelli functional with fidelity term. Adv. Differential Equations 15 (2010), 255–282.
13	On the convergence of the Ohta-Kawasaki equation to motion by nonlocal Mullins-Sekerka law. SIAM J. Math. Anal. 42 (2010), 1602–1638.
14	, Natasa Sesum, The mean curvature at the first singular time of the mean curvature flow. Ann. Inst. H. Poincaré Anal. Non Linéaire 27 (2010), 1441–1459.
15	Regularity and nonexistence results for some free-interface problems related to Ginzburg-Landau vortices. Interfaces Free Bound. 11 (2009), 139–152.
16	A gamma-convergence approach to the Cahn-Hilliard equation. Calc. Var. Partial Differential Equations 32 (2008), 499–522.
17	Dang Duc Trong, Nguyen Le Luc, Truong Trung Tuyen, Reconstruction of H^p-functions: best approximation, regularization and optimal error estimates. Complex Var. Theory Appl. 49 (2004), 285–301.
18	Duong Minh Duc, Nguyen Le Luc, Truong Trung Tuyen, Multiple solutions for a nonlinear singular Dirichlet problem. Abstract and applied analysis, 51–63, World Sci. Publ., River Edge, NJ, 2004.
19	Duong Minh Duc, Nguyen Le Luc, Truong Trung Tuyen, On topological degree for potential operators of class (S)+. Nonlinear Anal: Theory, Methods & Applications, 55 (2003), 951–968.