69 Publications (Page 1 of 3)
2022
Hadamard-type inequalities for k-positive matricesLe, Nam QLinear Algebra and its Applications, vol. 635, Feb 15, 2022.
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2021
On approximating minimizers of convex functionals with a convexity constraint by singular Abreu equations without uniform convexityLe, Nam QProceedings. Section A, Mathematics - The Royal Society of Edinburgh, vol. 151, (no. 1), pp. 356-376, Feb 2021.
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On singular Abreu equations in higher dimensionsLe, Nam QJournal d'Analyse Mathématique, vol. 144, (no. 1), pp. 191-205, 2021.
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2020
Global Hölder estimates for 2D linearized Monge–Ampère equations with right-hand side in divergence formLe, Nam QJournal of Mathematical Analysis and Applications, vol. 485, (no. 2), pp. 123865, 2020-05-15.
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On approximating minimizers of convex functionals with a convexity constraint by singular Abreu equations without uniform convexityLe, Nam QProceedings of the Royal Society of Edinburgh: Section A Mathematics, pp. 21, 2020-03-11.
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Uniqueness for a system of Monge-Amp\`ere equationsLe, Nam Q2020-01-07.
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2019
Asymptotic behavior of Allen–Cahn-type energies and Neumann eigenvalues via inner variationsLe, Nam⋅Le, Nam⋅Sternberg, Peter and Sternberg, PeterAnnali di Matematica Pura ed Applicata (1923 -), vol. 198, (no. 4), pp. 1293, 20190801.
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Global H\"older estimates for 2D linearized Monge-Amp\`ere equations with right-hand side in divergence formLe, Nam Q2019-02-21.
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Maximization of thermal conductance at interfaces via exponentially mass-graded interlayersRastgarkafshgarkolaei, Rouzbeh⋅Zhang, Jingjie⋅Polanco, Carlos A⋅Le, Nam Q⋅Ghosh, Avik W and Norris, Pamela MNanoscale, vol. 11, (no. 13), pp. 6262, 2019-Mar-28.
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Maximization of thermal conductance at interfaces via exponentially mass-graded interlayersIn memory of Rouzbeh Rastgar.Electronic supplementary information (ESI) available. See DOI: 10.1039/c8nr09188aRastgarkafshgarkolaei, Rouzbeh⋅Zhang, Jingjie⋅Polanco, Carlos A⋅Le, Nam Q⋅Ghosh, Avik W and Norris, Pamela M(no. 13), pp. 6262, 20190328.
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On singular Abreu equations in higher dimensionsLe, Nam Q2019-05-23.
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Singular Abreu Equations and Minimizers of Convex Functionals with a Convexity ConstraintLe, Nam QCommunications on Pure and Applied Mathematics, 2019-12-24.
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2018
Asymptotic Behavior of Allen-Cahn Type Energies and Neumann Eigenvalues via Inner VariationsLe, Nam Q⋅Le, Nam Q⋅Sternberg, Peter and Sternberg, Peter2018-05-07.
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Hölder Regularity of the 2D Dual Semigeostrophic Equations via Analysis of Linearized Monge–Ampère EquationsLe, Nam QCommunications in Mathematical Physics, vol. 360, (no. 1), pp. 305, 2018-05-00.
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Modeling solid–solid phase transitions in PETN using density functional theoryLe, Nam Q and Schweigert, Igor VAIP Conference Proceedings, vol. 1979, (no. 1), 20180703.
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On the Harnack inequality for degenerate and singular elliptic equations with unbounded lower order terms via sliding paraboloidsLe, Nam QCommunications in Contemporary Mathematics, vol. 20, (no. 1), pp. 1750012, 20180200.
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Phonon-mediated thermal transport at exponentially mass-graded interfaces: A computational studyRastgarkafshgarkolaei, Rouzbeh⋅Zhang, Jingjie⋅Polanco, Carlos A⋅Le, Nam Q⋅Ghosh, Avik W and Norris, Pamela M2018-09-12.
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Polynomial decay in $W^{2,\varepsilon}$ estimates for viscosity supersolutions of fully nonlinear elliptic equationsLe, Nam Q2018-05-21.
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Singular Abreu equations and minimizers of convex functionals with a convexity constraintLe, Nam Q2018-11-06.
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2017
Boundary Harnack inequality for the linearized Monge-Ampère equations and applicationsLe, Nam QTransactions of the American Mathematical Society, vol. 369, (no. 9), pp. 6611, 2017-05-05.
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Global $$W^{1,p}$$ W 1 , p estimates for solutions to the linearized Monge–Ampère equationsLe, Nam Q and Nguyen, TruyenThe Journal of Geometric Analysis, vol. 27, (no. 3), pp. 1788, 2017-07-00.
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Modeling Electronic Trap States at Interfaces between Anatase NanoparticlesLe, Nam Q and Schweigert, Igor VThe Journal of Physical Chemistry C, vol. 121, (no. 26), pp. 14260, 2017-07-06.
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On optimal Holder regularity of solutions to the equation [DELTA]u + b [middle dot]au =0 in two dimensionsLe, NamComptes rendus - Mathematique, vol. 355, (no. 4), pp. 439, 20170401.
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Schauder estimates for degenerate Monge–Ampère equations and smoothness of the eigenfunctionsLe, Nam and Savin, OvidiuInventiones mathematicae, vol. 207, (no. 1), pp. 423, 20170100.
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Temperature-Dependent Thermal Boundary Conductance at Metal/Indium-Based III–V Semiconductor InterfacesLarkin, LeighAnn S⋅Redding, MacKenzie R⋅Le, Nam Q and Norris, Pamela MJournal of Heat Transfer, vol. 139, (no. 3), pp. 031301-5, 2017-03-01.
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