Publications



43. M.-P. Tran, T.-N. Nguyen, Q.-V. Tran, P.-N. Huynh, Weighted distribution approach for a class of nonlinear elliptic equations associated to Schr\"odinger-type operators, Monatshefte für Mathematik, 2024, doi.

42. Minh-Phuong Tran, Thanh-Nhan Nguyen, The-Quang Tran, Global bound on the gradient of solutions to p-Laplace type equations with mixed data, Acta Mathematica Scientia, 2024, doi.

41. Minh-Phuong Tran, Thanh-Nhan Nguyen, Hong-Nhung Nguyen, Regularity for the steady Stokes-type flow of incompressible Newtonian fluids in some generalized function settings, Nonlinear Analysis: Real World Applications, 77, 104049, 2024, doi.

40. Minh-Phuong Tran, Thanh-Nhan Nguyen, L.-T.-N. Pham, Gradient bounds for non-uniformly quasilinear elliptic two-sided obstacle problems with variable exponents, Journal of Mathematical Analysis and Applications, 531(1), 127776, 2024, doi.

39. Minh-Phuong Tran, Thanh-Nhan Nguyen and Phuoc-Nguyen Huynh, Calderón-Zygmund-type estimates for singular quasilinear elliptic obstacle problems with measure data, Studia Mathematica,  271, 287-319, 2023, doi.

38. Thanh-Nhan Nguyen, Minh-Phuong Tran, N.-T.-N. Tran, Regularity estimates for stationary Stokes problem in some generalized function spaces, Zeitschrift für angewandte Mathematik und Physik, 74(13), 2023, doi.

37. Minh-Phuong Tran and Thanh-Nhan Nguyen, Gradient estimates via Riesz potentials and fractional maximal operators for quasilinear elliptic equations with applications, Nonlinear Analysis: Real World Applications, 69, 103750, 2023, doi.

36. M.-P. Tran, T.-N. Nguyen, L.T.N. Pham, T.T.T. Dang, Weighted Lorentz estimates for non-uniformly elliptic problems with variable exponents, Manuscripta Mathematica, 172, 1227–1244, 2023.  doi.

35. Minh-Phuong Tran and Thanh-Nhan Nguyen, Weighted distribution approach to gradient estimates for quasilinear elliptic double-obstacle problems in Orlicz spaces, Journal of Mathematical Analysis and Applications, 509(1), 125928, 2022, doi.

34. Minh-Phuong Tran and Thanh-Nhan Nguyen, Global gradient estimates for very singular quasilinear elliptic equations with non-divergence data, Nonlinear Analysis, 214(3), 112613, 2022, doi.

33. Minh-Phuong Tran and Thanh-Nhan Nguyen,  A global fractional Caccioppoli-type estimate for solutions to nonlinear elliptic problems with measure data, Studia Mathematica, 263 (3), 323-338, 2022, doi.

32. T.-N. Nguyen, M.-P. Tran, N.-B. Ly, P. T. Huynh, M.-D. Nguyen and Q.-A. Ho, Convergence results for non-overlap Schwarz waveform relaxation algorithm with changing transmission conditions, Acta Mathematica Scientia, 42, 105–126, 2022, doi.

31. T.-N. Nguyen, M.-P. Tran, C.-K. Doan, V.-N. Vo, A gradient estimate related fractional maximal operators for a p-Laplace problem in Morrey spaces, Taiwanese Journal of Mathematics, 25(4), 809–829, 2021, doi.

30. Minh-Phuong Tran, Thanh-Nhan Nguyen, Pointwise gradient bounds for a class of very singular quasilinear elliptic equations, Discrete and Continuous Dynamical Systems - Series A, 41(9), 4461–4476, 2021, doi.

29. Thanh-Nhan Nguyen, Minh-Phuong Tran, Lorentz estimates for quasi-linear elliptic double obstacle problems involving a Schr\"odinger term, Mathematical Methods in the Applied Sciences, 44(7), 6101-6116, 2021, doi.

28. Minh-Phuong Tran, Thanh-Nhan Nguyen, Gia-Bao Nguyen, Lorentz gradient estimates for a class of elliptic p-Laplacian equations with a Schr\"odinger term, Journal of Mathematical Analysis and Applications, 496(1), 124806, 2021. doi

27. Thanh-Nhan Nguyen, Minh-Phuong Tran, Level-set inequalities on fractional maximal distribution functions and applications to regularity theory, Journal of Functional Analysis, 280(1), 108797, 2021. doi

26. Minh-Phuong Tran and Thanh-Nhan Nguyen, Global Lorentz estimates for non-uniformly nonlinear elliptic equations via fractional maximal operator, Special Issue "New developments in non-uniformly elliptic and nonstandard growth problems", Journal of Mathematical Analysis and Applications, 501(1), 124084, 2021. doi

25. Thanh-Nhan Nguyen, Minh-Phuong Tran, Lorentz improving estimates for the p-Laplace equations with mixed data, Nonlinear Analysis, 200, 111960, 2020. doi.

24. Thanh-Nhan Nguyen, Minh-Phuong Tran, An endpoint case of the renormalization property for the relativistic Vlasov-Maxwell system, Journal of Mathematical Physics, 61, 071512, 2020. doi 

23. Minh-Phuong Tran and Thanh-Nhan Nguyen, A remark on the interpolation inequality between Sobolev spaces and Morrey spaces, Functional Analysis and its Applications, 54(3), pp. 200–207, 2020. doi

22. Minh-Phuong Tran and Thanh-Nhan Nguyen, Lorentz–Morrey global bounds for singular quasilinear elliptic equations with measure data, Communication in Contemporary Mathematics, Vol. 22, No. 5, 1950033, 2020.  doi.

21. Minh-Phuong Tran and Thanh-Nhan Nguyen, New gradient estimates for solutions to quasilinear divergence form elliptic equations with general Dirichlet boundary data, Journal of Differential Equations, 268 (4),1427-1462, 2020. doi.

20. Minh-Phuong Tran and Thanh-Nhan Nguyen, An application of global gradient estimates in Lorentz-Morrey spaces: The existence of stationary solution to degenerate diffusive Hamilton-Jacobi equations, Electronic Journal of Differential Equations, Vol. 2019 No. 118, pp. 1-12, 2019. doi

19. Minh-Phuong Tran and Thanh-Nhan Nguyen, Generalized good-λ techniques and applications to weighted Lorentz regularity for quasilinear elliptic equations, Comptes Rendus Mathematique, 357(8), 664-670, 2019,  doi.

18. Minh-Phuong Tran and Thanh-Nhan Nguyen, Image decomposition using a second-order variational model and wavelet shrinkage, Electronic Letters on Computer Vision and Image Analysis 18(1), 92-107, 2019. doi

17. Minh-Phuong Tran and Thanh-Nhan Nguyen, Existence of a renormalized solution to the quasilinear Riccati-type equation in Lorentz spaces, Comptes Rendus Mathematique, 357, 59–65, 2019. doi

16. Minh-Phuong Tran and Thanh-Nhan Nguyen,  Asymptotic behavior of bounded solutions to a first order gradient-like system, Journal of Advanced Engineering and Computation 3(1), 312 – 319, 2019. doi

15. Minh-Phuong Tran, Good-λ type bounds of quasilinear elliptic equations for the singular case, Nonlinear Analysis, 178, 266-281, 2019. doi

14. M.P. Tran, T.N. Nguyen, Numerical determination of truncation orders in the correction method for Stokes equations, Journal of Advanced Engineering and Computation, Vol.2, Issue 1, 44-54, 2018. doi

13. D.L. Nguyen, T.N. Nguyen, M.P. Tran, A Galerkin approximation for integro-differential equations in electromagnetic scattering from a chiral medium , Applicable Analysis, Vol. 96, No. 1, 159-172, 2017. doi

12. M.P. Tran, T.N. Nguyen, On the convergence of bounded solutions of non-homogeneous gradient like systems, Journal of Advanced Engineering and Computation, Vol. 1, Issue 1, 61-67, 2017. doi

11. M.P. Tran, On convergence result for a finite element scheme of Landau-Lifschitz-Gilbert equation, Proceedings of the 1st International Conference on Applied Mathematics in Engineering and Reliability, ISBN: 9781315641652, pp 243-248, 2016, doi.

10. M.P. Tran, Parallel resolution of the Schur interface problem using the Conjugate gradient method,  Proceedings of the 1st International Conference on Applied Mathematics in Engineering and Reliability, ISBN: 9781315641652, pp 291-302, 2016, doi.

9. M.P. Tran, V.K. Huynh, A study of Boundary Element Method for 3D homogeneous Helmholtz equation with Dirichlet boundary condition, Proceedings of the 1st International Conference on Applied Mathematics in Engineering and Reliability, ISBN: 9781315641652, pp 271-280, 2016, doi.

8. N. Pal, N. Tran, M.P. Tran,  Two-factor hypothesis testing using the Gamma model, Proceedings of the 1st International Conference on Applied Mathematics in Engineering and Reliability, ISBN: 9781315641652, pp 327-334, 2016. doi.

7. M.P. Tran, T.N. Nguyen, A spectral decomposition in vector spherical harmonics for Stokes equations, Proceedings of the 1st International Conference on Applied Mathematics in Engineering and Reliability, ISBN: 9781315641652, pp 237-242, 2016, doi.

6. M.P. Tran, T.N. Nguyen,  A simple algorithm for Schwarz waveform relaxation methods, Annales Univ. Sci. Pudapest., Sect. Comp. 45, 57 – 74, 2016. doi

5. M. P. Tran, T.N. Nguyen, Asymptotic formulas for the forces and torques of two close particles in a Stokes fluid, Journal of Science 78, HCMC University of Education, Natural Science and Technology, 2015. doi

4. M. P. Tran, T.N. Nguyen, A long time behavior for gradient-like systems under a weak angle condition, Journal of Science 65, HCMC University of Education, Natural Science and Technology, 2015. doi

3. Habib Ammari, Minh-Phuong Tran, Han Wang, Shape identification and classification in echolocation, SIAM Journal on Imaging Sciences, 7(3), 1883-1905, 2014. doi

2. M.P. Tran, R. Petéri, M. Bergounioux, Denoising 3D medical images using a second-order variational model and wavelet shrinkage, Image Analysis and Recognition, Lecture Notes in Computer Science, 7325, 138-145, 2012, doi.

1. M. Bergounioux, M.P. Tran, A second Order Model for 3D-Texture Extraction, Mathematical image processing, Springer proceedings in Mathematics, 5, 41-57, 2011, doi.


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Further information


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ORCID ID: orcid.org/0000-0001-5846-6610

Scopus ID: 57190488004 

RESEARCHER ID:  https://www.webofscience.com/wos/author/record/B-5627-2019

MATHSCINET ID: MRAuthorID/958494