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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. |
Highlights
28/09/24, Conference: Hội thảo "Gặp gỡ toán học 2024 - Hội thảo Khoa học các nhà nghiên cứu trẻ" |
28/10/24, Conference: School and Workshop “Selected topics in Arithmetic Algebraic Geometry” |