Reseach Interests
Mathematical Analysis
Functional Inequalities
Geometric Inequalities
Publications
Sobolev interpolation inequalities with optimal Hardy-Rellich inequalities and critical exponents, (N.A. Dao, A.X. Do, N. Lam, G. Lu), Calculus of Variations and Partial Differential Equations, 2025
Some analytic and geometric aspects of weighted p-Laplacian on smooth metric measure spaces, (H.T. Dung, A.X. Do, N.T. Dung), International Journal of Mathematics, 2025.
A New Approach to Weighted Hardy-Rellich Inequalities: Improvements, Symmetrization Principle and Symmetry Breaking, (A.X. Do, N. Lam, G. Lu), The Journal of Geometric Analysis, 2024.
Hardy Type Identities on R^{n-k} x (R+)^k via Factorizations, (N.A. Dao, A.X. Do, N.T. Duy, N. Lam), Vietnam Journal of Mathematics, 2023.
Preprints
Sharp stability of the Heisenberg Uncertainty Principle: Second-Order and Curl-Free Field Cases, (A.X. Do, N. Lam, G. Lu, L. Zhang), arXiv preprint arXiv:2505.02758.
Scale-Dependent Poincaré inequalities and the stability of the Heisenberg Uncertainty Principle on the hyperbolic space, (A.X. Do, D. Ganguly, N. Lam, G. Lu), arXiv:2410.21039.
L^p-Caffarelli-Kohn-Nirenberg inequalities and their stabilities, (A.X. Do, J. Flynn, N. Lam, G. Lu), arXiv:2310.07083.