Nguyen Minh Tri

Contact

Scientific CV

Scientific Publications

Publications

1. 1. Le Thi Hong Hanh, Duong Trong Luyen, Nguyen Minh Tri, 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 (2026)
2. 2. Giang Trung Hieu, Nguyen Minh Tri, Dang Anh Tuan, 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 (2026)
3. 3. Nguyen Quynh Nga, Nguyen Minh Tri, Dang Anh Tuan, Pólya–Szegö type inequality and imbedding theorems for weighted Sobolev spaces, Analysis and Mathematical Physics, Volume 14, article number 20, (2024) (2024)
4. 4. Nguyen Quynh Nga, Nguyen Minh Tri, Dang Anh Tuan, Existence and nonexistence of nontrivial solutions for, degenerate elliptic equations in a solid torus, Journal of Elliptic and Parabolic Equations, 9 (2023) 401-417 (2023)
5. 5. Vu Thi Thuy Duong, Dao Quang Khai, Nguyen Minh Tri, On regularity of weak solutions for the Navier-Stokes equations in general domains, Mathematische Nachrichten. 294 (2021) no. 12, 201900407 (2021)
6. 6. Vu Thi Thuy Duong, Dao Quang Khai, Nguyen Minh Tri, 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 (2020)
7. 7. Ngo Van Giang, Nguyen Minh Tri, 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. (2019)
8. 8. Nguyen Minh Tri, Duong Trong Luyen, On the existence of multiple solutions to boundary value problems for semilinear elliptic degenerate operators, Complex Variables and Elliptic Equations An International Journal, 2018 (2018)
9. 9. Duong Trong Luyen, Nguyen Minh Tri, Existence of infinitely many solutions for semilinear degenerate Schrödinger equations, Journal of Mathematical Analysis and Applications 461 (2018), 1271-1286 (2018)
10. 10. Dao Quang Khai, Nguyen Minh Tri, Well-posedness for the Navier–Stokes equations with data in homogeneous Sobolev–Lorentz spaces, Nonlinear Analysis, 149 (2017), 130-145 (2017)
11. 11. Duong Trong Luyen, Nguyen Minh Tri, Large-time behavior of solutions to degenerate damped hyperbolic equations, Siberian Mathematical Journal, 57 (2016), 632–649 (2016)
12. 12. Duong Trong Luyen, Nguyen Minh Tri, Global attractor of the Cauchy problem for a semilinear degenerate damped hyperbolic equation involving the Grushin operator, Annales Polonici Mathematici, 117(2016), 141-161 (2016)
13. 13. Dao Quang Khai, Nguyen Minh Tri, 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. (2016)
14. 14. Dao Quang Khai, Nguyen Minh Tri, Well-posedness for the Navier–Stokes equations with datum in Sobolev–Fourier–Lorentz spaces, Journal of Mathematical Analysis and Applications, 437 (2016), 754–781 (2016)
15. 15. Dao Quang Khai, Nguyen Minh Tri, 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 (2015)
16. 16. Duong Trong Luyen, Nguyen Minh Tri, Existence of solutions to boundary-value problems for semilinear $\Deltaγ$ differential equations, Mathematical Notes, 97(2015), 73-84, (2015)
17. 17. Dao Quang Khai, Nguyen Minh Tri, 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 (2014)
18. 18. P. T. Thuy, Nguyen Minh Tri, Long time behavior of solutions to semilinear parabolic equations involving strongly degenerate elliptic differential operators, Nonlinear Differential Equation 20 (2013),1213-1224 (2013)
19. 19. Dao Quang Khai, Nguyen Minh Tri, On general axisymmetric explicit solutions for the Navier-Stokes equations, International Journal of Evolution Equations, 6 (2103), 325 - 336. (2013)
20. 20. Nguyen Minh Tri, Duong Trong Luyen, On boundary value problem for semilinear degenerate elliptic differential equations, AIP Conference Proceedings, DOI 10. 1063/1. 4724 110, 1 -- 6 (2012)
21. 21. P. T. Thuy, Nguyen Minh Tri, Nontrivial solutions to boundary value problems for semilinear strongly degenerate elliptic differential equations, Nonlinear Differential Equations and Applications NoDEA, 19 (2012), 279 -- 300 (2012)
22. 22. T.T. Khanh, Nguyen Minh Tri, On the analyticity of solutions to semilinear differential equations degenerated on a submanifold, Journal of Differential equations, 249 (2010), 2440 -- 2475 (2010)
23. 23. Vo Thi Thu Hien, Nguyen Minh Tri, 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 (2010)
24. 24. Nguyen Minh Tri, 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 (2010)
25. 25. Nguyen Minh Tri, Recent results in the theory of semilinear elliptic degenerate differential equations, Vietnam J. Math., 37 (2009), 387-397. (2009)
26. 26. Nguyen Minh Tri, 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 (2009)
27. 27. Vo Thi Thu Hien, Nguyen Minh Tri, Analyticity of solutions of semi-linear equations with double characteristics, Journal of Mathematical Analysis and Applications, 337 (2008), 1249 - 1260. (2008)
28. 28. Nguyen Minh Tri, Semilinear hypoelliptic differential operators with multiple characteristics, Transactions of the American Mathematical Society, 360 (2008), 3875 - 3907. (2008)
29. 29. Nguyen Minh Tri, 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. (2007)
30. 30. Nguyen Minh Tri, 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. (2004)
31. 31. Nguyen Minh Tri, New argument for Gevrey regularity of solutions of nonlinear elliptic PDEs, Russ. J. Math. Phys. 10 (2003), 353 - 358. (2003)
32. 32. Nguyen Minh Tri, 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. (2002)
33. 33. Nguyen Minh Tri, 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. (2002)
34. 34. Nguyen Minh Tri, 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). (2002)
35. 35. Nguyen Minh Tri, 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. (2002)
36. 36. Nguyen Minh Tri, 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. (2001)
37. 37. Luigi Rodino, Maria Mascarello, Nguyen Minh Tri, 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 (2001)
38. 38. Nguyen Minh Chuong, Nguyen Minh Tri, The integral wavelet transform in $L^p(\mathbb R^n)$, Fract. Calc. Journal of Applied Analysis, 3 (2000), 133 - 140. 1(2000), 133 - 140. (2000)
39. 39. Nguyen Minh Tri, 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. (2000)
40. 40. Nguyen Minh Tri, A note on neccesary conditions of hypoellipticity for some classes of differential operators with double characteristics, Kodai Mathematical Journal, 23 (2000), 281 - 297. (2000)
41. 41. Nguyen Minh Tri, Non-smooth solutions for a class of infinitely degenerate elliptic differential operators, Vietnam J. Math. 28 (2000), No 2, 159 - 172. (2000)
42. 42. Nguyen Minh Chuong, Ha Tien Ngoan, Nguyen Minh Tri, Le Quang Trung, Partial Differential Equations, Education Publishing House, Hanoi, 2000, 331 pages (2000)
43. 43. Nguyen Minh Tri, 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. (1999)
44. 44. Nguyen Minh Tri, On Grushin's equation, Matematicheskie Zametki, 63 (1998), N$^o$ 1, 95 - 105. (1998)
45. 45. Nguyen Minh Tri, Critical Sobolev exponent for hypoelliptic operators, Acta Mathematica Vietnamica, 23 (1998), 83 - 94. (1998)
46. 46. Marta Calanchi, Luigi Rodino, Nguyen Minh Tri, Solutions of logarithmic type for elliptic and hypoelliptic equations, Annali dell' Università di Ferrara, XLI (1996), 111 - 127. (1996)
47. 47. Nguyen Minh Chuong, Le Quang Trung, Nguyen Minh Tri, Theory of Partial Differential Equations, Science and Technology Publishing House, Hanoi (1994), 288 pages. (1995)
48. 48. Nguyen Minh Tri, Yu. V. Egorova, 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). (1994)
49. 49. Nguyen Minh Tri, 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) (1994)
50. 50. Nguyen Minh Tri, 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 (1994)
51. 51. Nguyen Minh Tri, 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.) (1991)
52. 52. Nguyen Minh Tri, 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). (1990)
53. 53. Nguyen Minh Tri, Fourth-order hypoelliptic pseudodifferental operators with noninvolutive characteristics sets, Vestnik M. S. U. (1990), N$^o$ 2, 71 - 73 (in Russian). (1990)
54. 54. Nguyen Minh Tri, 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). (1990)
55. 55. Nguyen Minh Tri, On some classes of pseudo-differential hypoelliptic operators}. Ph. D. Thesis, Lomonosov Moscow State University (1990) (in Russian). (1990)
56. 56. Nguyen Minh Tri, 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). (1987)

Preprints

1. 1. Nguyen Quynh Nga, Nguyen Minh Tri, Polya - Szego Type Inequality and Imbedding Theorems for Weighted Sobolev Spaces (2022)