Công bố khoa học

• Công bố khoa học

  1.  Giang Trung Hiếu, Nguyễn Minh Trí, Đặng Anh Tuấn, On some Sobolev and Pólya-Szegö type inequalities with weights and applications, Journal of Mathematical Analysis and Applications, Volume 561, Issue 2, 15 September 2026, 130591

  2.  Le Thi Hong Hanh, Dương Trọng Luyện, Nguyễn Minh Trí, Nontrivial Solutions to Boundary Value Problems for Semilinear $\Delta ^{\alpha ,\beta }_{\alpha _1,\beta _1}$-Differential Equations, Analysis and PDE in Developing Countries, Trends in Mathematics (TM, volume 17) (2026) pp 27–35, Birkhäuser/Springer, Cham, 2026 ISBN: 978-3-032-14210-8; 978-3-032-14211-5

  3.  Nguyễn Quỳnh Nga, Nguyễn Minh Trí, Đặng Anh Tuấn, Pólya–Szegö type inequality and imbedding theorems for weighted Sobolev spaces, Analysis and Mathematical Physics, Volume 14, article number 20, (2024)

  4.  Nguyễn Quỳnh Nga, Nguyễn Minh Trí, Đặng Anh Tuấn, Existence and nonexistence of nontrivial solutions for, degenerate elliptic equations in a solid torus, Journal of Elliptic and Parabolic Equations, 9 (2023) 401-417

  5.  Vũ Thị Thùy Dương, Đào Quang Khải, Nguyễn Minh Trí, On regularity of weak solutions for the Navier-Stokes equations in general domains, Mathematische Nachrichten. 294 (2021) no. 12, 201900407 (SCI-E, Scopus).

  6.  Vũ Thị Thùy Dương, Đào Quang Khải, Nguyễn Minh Trí, Time decay rates of the L^3-Norm for strong solutions to the Navier-Stokes equations in {\mathbb R^3}, Journal of Mathematical Analysis and Applications, 485 (2020) 123864 (SCI(-E); Scopus).

  7.  Ngô Văn Giang, Nguyễn Minh Trí, On a criterion for regularity of Leray weak solutions to the Navier - Stokes equations involving one directional derivative, Advances in Evolution Equations, Chap. 11, 205-214, 2019.

  8.  Dương Trọng Luyện, Nguyễn Minh Trí, Existence of infinitely many solutions for semilinear degenerate Schrödinger equations, Journal of Mathematical Analysis and Applications 461 (2018), 1271-1286 (SCI(-E); Scopus).

  9.  Nguyễn Minh Trí, Dương Trọng Luyện, On the existence of multiple solutions to boundary value problems for semilinear elliptic degenerate operators, Complex Variables and Elliptic Equations An International Journal, 2018 (SCI(-E); Scopus.).

  10.  Đào Quang Khải, Nguyễn Minh Trí, Well-posedness for the Navier–Stokes equations with data in homogeneous Sobolev–Lorentz spaces, Nonlinear Analysis, 149 (2017), 130-145 (SCI(-E); Scopus).

  11.  Dương Trọng Luyện, Nguyễn Minh Trí, Large-time behavior of solutions to degenerate damped hyperbolic equations, Siberian Mathematical Journal, 57 (2016), 632–649 (SCI(-E); Scopus.).

  12.  Đào Quang Khải, Nguyễn Minh Trí, Well-posedness for the Navier–Stokes equations with datum in Sobolev–Fourier–Lorentz spaces, Journal of Mathematical Analysis and Applications, 437 (2016), 754–781 (SCI(-E); Scopus).

  13.  Đào Quang Khải, Nguyễn Minh Trí, On the Initial Value Problem for the Navier-Stokes Equations with the Initial Datum in Critical Sobolev and Besov Spaces, Journal of Mathematical Sciences University of Tokyo, 23(2016), 499-528.

  14.  Dương Trọng Luyện, Nguyễn Minh Trí, Global attractor of the Cauchy problem for a semilinear degenerate damped hyperbolic equation involving the Grushin operator, Annales Polonici Mathematici, 117(2016), 141-161 (SCI(-E); Scopus).

  15.  Dương Trọng Luyện, Nguyễn Minh Trí, Existence of solutions to boundary-value problems for semilinear $\Deltaγ$ differential equations, Mathematical Notes, 97(2015), 73-84, (SCI-E, Scopus).

  16.  Đào Quang Khải, Nguyễn Minh Trí, On the Hausdorff dimension of the singular set in time for weak solutions to the nonstationary Navier-Stokes equations on torus, Vietnam Journal of Mathematics, 43 (2015), 283-295 (Scopus).

  17.  Đào Quang Khải, Nguyễn Minh Trí, Solutions in mixed-norm Sobolev–Lorentz spaces to the initial value problem for the Navier–Stokes equations, Journal of Mathematical Analysis and Applications 417 (2014) 819-833 (SCI(-E); Scopus).

  18.  Đào Quang Khải, Nguyễn Minh Trí, On general axisymmetric explicit solutions for the Navier-Stokes equations, International Journal of Evolution Equations, 6 (2103), 325 - 336.

  19.  P. T. Thuy, Nguyễn Minh Trí, Long time behavior of solutions to semilinear parabolic equations involving strongly degenerate elliptic differential operators, Nonlinear Differential Equation 20 (2013),1213-1224 (SCI(-E); Scopus).

  20.  P. T. Thuy, Nguyễn Minh Trí, Nontrivial solutions to boundary value problems for semilinear strongly degenerate elliptic differential equations, Nonlinear Differential Equations and Applications NoDEA, 19 (2012), 279 -- 300

  21.  Nguyễn Minh Trí, Dương Trọng Luyện, On boundary value problem for semilinear degenerate elliptic differential equations, AIP Conference Proceedings, DOI 10. 1063/1. 4724 110, 1 -- 6

  22.  Nguyễn Minh Trí, Fourier transform and smoothness of solutions of a class of semilinear degenerate elliptic equations with double characteristics, Russian Journal of Mathematical Physics, 17 (2010), 192 -- 206

  23.  Vo Thi Thu Hien, Nguyễn Minh Trí, Fourier transform and smoothness of solutions of a class of semilinear degenerate elliptic equations with double characteristics, Russian Journal of Mathematical Physics, 17 (2010), 192 -- 206

  24.  T.T. Khanh, Nguyễn Minh Trí, On the analyticity of solutions to semilinear differential equations degenerated on a submanifold, Journal of Differential equations, 249 (2010), 2440 -- 2475

  25.  Nguyễn Minh Trí, P. T. Thuy, The phenomenon of critical exponents of boundary value problem for semilinear degenerate elliptic differential equations, , In: Qualitative Theory of Differential Equations and Applications, MESI Institute Publisher, Moscow 2009, 167 -- 171

  26.  Nguyễn Minh Trí, Recent results in the theory of semilinear elliptic degenerate differential equations, Vietnam J. Math., 37 (2009), 387-397.

  27.  Nguyễn Minh Trí, Semilinear hypoelliptic differential operators with multiple characteristics, Transactions of the American Mathematical Society, 360 (2008), 3875 - 3907.

  28.  Vo Thi Thu Hien, Nguyễn Minh Trí, Analyticity of solutions of semi-linear equations with double characteristics, Journal of Mathematical Analysis and Applications, 337 (2008), 1249 - 1260.

  29.  Nguyễn Minh Trí, Pseudodifferential operators of second order with sign-changed characteristic form, . In: Advances in deterministic and stochastic analysis, 3 - 13, World Sci. Publ., Hackensack, NJ, 2007.

  30.  Nguyễn Minh Trí, On the Gevrey regularity of solutions of semilinear Kohn-Laplacian on the Heisenberg group, In: Abstract and applied analysis, 335 - 353, World Sci. Publishing, River Edge, NJ, 2004.

  31.  Nguyễn Minh Trí, New argument for Gevrey regularity of solutions of nonlinear elliptic PDEs, Russ. J. Math. Phys. 10 (2003), 353 - 358.

  32.  Nguyễn Minh Trí, On the Gevrey regularity of solutions of a class of semilinear elliptic degenerate equations on the plane, Journal of Mathematical Sciences, University of Tokyo, 9 (2002), 217 - 255.

  33.  Nguyễn Minh Trí, Some examples of nonhypoelliptic infinitely degenerate elliptic differential operators, Mat. Zametki 71 (2002), 567 - 580; English transl.: Mathematical Notes 71 (2002), N0 3-4, 517 - 529 (in Russian).

  34.  Nguyễn Minh Trí, Gevrey regularity of solutions of semilinear hypoelliptic equations on the plane, . In: Microlocal analysis and related topics (Japanese) (Kyoto, 2001). Surikaisekikenkyusho Kokyuroku 1261 (2002), 140 - 149.

  35.  Nguyễn Minh Trí, N. T. C. Thuy, Some existence and nonexistence results for boundary value problems for semilinear elliptic degenerate operators, Russ. J. Math. Phys. 9 (2002), N0 3, 365 - 370.

  36.  Luigi Rodino, Maria Mascarello, Nguyễn Minh Trí, Partial differential operators with multiple symplectic characteristics. In: Partial differential equations and spectral theory (Clausthal, 2000), 293 - 297, Operator Theory: Advances and Applications, 126, Birkhọuser, Basel, 2001

  37.  Nguyễn Minh Trí, On local properties of some classes of infinitely degenerate elliptic differential operators, Rendiconti del Seminario Matematico. Universitá e Politecnico di Torino, 59 (2001), N0 4, 277 - 288.

  38.  Nguyễn Minh Chương, Hà Tiến Ngoạn, Nguyễn Minh Trí, Le Quang Trung, Partial differential equations (in Vietnamese) – Phương trình đạo hàm riêng, NXB Giáo dục, Hà Nội, 2000, 331 trang

  39.  Nguyễn Minh Trí, Non-smooth solutions for a class of infinitely degenerate elliptic differential operators, Vietnam J. Math. 28 (2000), No 2, 159 - 172.

  40.  Nguyễn Minh Trí, A note on neccesary conditions of hypoellipticity for some classes of differential operators with double characteristics, Kodai Mathematical Journal, 23 (2000), 281 - 297.

  41.  Nguyễn Minh Trí, On the analyticity and Gevrey regularity of solutions of semilinear partial differential equations with multiple characteristics, In: Microlocal analysis and PDE in the complex domain (Japanese) (Kyoto, 1998). Surikaisekikenkyusho Kokyuroku No. 1159 (2000), 62 - 73.

  42.  Nguyễn Minh Chương, Nguyễn Minh Trí, The integral wavelet transform in $L^p(\mathbb R^n)$, Fract. Calc. Journal of Applied Analysis, 3 (2000), 133 - 140. 1(2000), 133 - 140.

  43.  Nguyễn Minh Trí, On the Gevrey analyticity of solutions of semilinear perturbations of powers of the Mizohata operator, Rend. Sem. Mat. Univ. Politec. Torino 57 (1999), 37 - 57.

  44.  Nguyễn Minh Trí, On Grushin's equation, Matematicheskie Zametki, 63 (1998), N$^o$ 1, 95 - 105.

  45.  Nguyễn Minh Trí, Critical Sobolev exponent for hypoelliptic operators, Acta Mathematica Vietnamica, 23 (1998), 83 - 94.

  46.  Marta Calanchi, Luigi Rodino, Nguyễn Minh Trí, Solutions of logarithmic type for elliptic and hypoelliptic equations, Annali dell' Università di Ferrara, XLI (1996), 111 - 127.

  47.  Nguyễn Minh Chương, Le Quang Trung, Nguyễn Minh Trí, Theory of partial differential equations (in Vietnamese) – Lý thuyết phương trình đạo hàm riêng}, Nhà xuất bản Khoa học và Kỹ thuật, Hà Nội (1994), 288 trang.

  48.  Nguyễn Minh Trí, A bifurcation of multiple eigenvalues and eigenfunctions for boundary value problems in a domain with a small hole, Journal of the Faculty of Science, the University of Tokyo, 1 (1994), N0 3, 567 - 587

  49.  Nguyễn Minh Trí, Positive solusions of the Emden-Fowler equation in a cone, Differentialnye Uravneniya, 4 (1994), 659 - 664 (in Russian). (Translation in Differential Equations {\bf 30} (1994), N$^o$ 4, 608 - 613)

  50.  On a class of maximally hypoelliptic operators with noninvolutive characteristics sets, . Trudy Sem. Petrovsk. No. 17 (1994), 3 - 26, . Translated in J. Math. Sci. 75 (1995), N0 3, 1615 - 1630 (in Russian).

  51.  Nguyễn Minh Trí, On the property of global hypoellipticity of a differential operator, Matematicheskie Zametki, 49 (1991), N$^o$ 2, 147 - 149 (in Russian). ( Translation in Mathematical Notes 49 (1991), N$^o$ 1 - 2, 221 - 223.)

  52.  Nguyễn Minh Trí, On some classes of pseudo-differential hypoelliptic operators}. Ph. D. Thesis, Lomonosov Moscow State University (1990) (in Russian).

  53.  Nguyễn Minh Trí, Yu. V. Egorova, Maximally hypoelliptic operators with noninvolutive characteristics sets, Doklady Akademii Nauk USSR, 314 (1990), N$^o$ 5, 1059 - 1061 (in Russian). (Translation in Soviet Mathematics - Doklady 42 (1991), N$^o$ 2, 585 - 587).

  54.  Nguyễn Minh Trí, Fourth-order hypoelliptic pseudodifferental operators with noninvolutive characteristics sets, Vestnik M. S. U. (1990), N$^o$ 2, 71 - 73 (in Russian).

  55.  Nguyễn Minh Trí, On the global hypoellipticity of a high order differential operator, Differentsialnye Uravneniya, 26 (1990), N$^o$ 4, 687 - 692 (in Russian). (Translation in Differential Equations 26 (1990), N$^o$ 4, 507 - 510).

  56.  Nguyễn Minh Trí, Asymptotic behavior of the eigenvalues and eigenfunctions for boundary value problems in a domain with a small opening, Vestnik M. S. U, 4 (1987), 17 - 21, (in Russian).

• Tiền ấn phẩm

  1.  IMH20221104,  Nguyễn Quỳnh Nga,  Nguyễn Minh Trí,  Polya - Szego Type Inequality and Imbedding Theorems for Weighted Sobolev Spaces.