1. L. Chen, G. Lu, M. Zhu, A sharp trace Adams' inequality in R^4 and Existence of the extremals. arXiv:2308.16347, 2023, to appear in Analysis & PDE, 2025.
2. L. Chen, G. Lu, B. Wang, Quantization property of n-Laplacian mean field equation and sharp Moser-Onofri inequality, arXiv:2406.00743, to appear in Mathematische Annalen, 2025.
3. L. Chen, G. Lu, H. Tang, Optimal stability of Hardy-Littlewood-Sobolev and Sobolev inequalities of arbitrary orders with dimension-dependent constants, arXiv:2405.17727v1
4. L. Chen, G. Lu, H. Tang, Stability of Hardy-Littlewood-Sobolev inequalities with explicit lower bounds. Adv. Math., 450 (2024), Paper No. 109778.
5. L. Chen, G. Lu, H. Tang, Optimal asymptotic lower bound for stability of fractional Sobolev inequality and the global stability of Log-Sobolev inequality on the sphere, arXiv:2312.11787
6. L. Chen, G. Lu, Y. Xue and M. Zhu, Uniqueness of positive solutions to elliptic equations with the critical exponential growth on the unit disc and its applications, to appear in Ann. Sc. Norm. Super. Pisa Cl. Sci., 2024.
7. L. Chen, G. Lu and C. Zhang, Bubbling phenomenon for semilinear Neumann elliptic equations of critical exponential growth, Calc. Var. Partial Differential Equations 63 (2024), no. 1, Paper No. 21, 34 pp.
8. L. Chen, H. Liu, A Scattering theory on hyperbolic spaces, arXiv:2310.16416.
9. L. Chen, G. Lu, H. Tang, Sharp stability of log-Sobolev and Moser-Onofri inequalities on the sphere, J. Funct. Anal., 285 (2023), no. 5
10. L. Chen, G. Lu, M. Zhu, Least energy solutions to quasilinear subelliptic equations with constant and degenerate potentials on the Heisenberg group, Proc. Lond. Math. Soc. (3) 126 (2023), no. 2, 518–555.
11. L. Chen, G. Lu, M. Zhu, Existence of extremals for Trudinger-Moser inequalities involved with a trapping potential, Calc. Var. Partial Differential Equations 62 (2023), no. 5, Paper No. 150, 35 pp.
12. L. Chen, G. Lu, M. Zhu, Existence and non-existence of ground states of bi-harmonic equations involving constant and degenerate Rabinowitz potentials, Calc. Var. Partial Differential Equations 62 (2023), no. 2, Paper No. 37, 29 pp.
13.L. Chen, G. Lu, M. Zhu, A critical Trudinger-Moser inequality involving a degenerate potential and nonlinear Schrodinger equations, Sci. China Math., 64 (2021), 1391-1410.
14. L. Chen, G. Lu, M. Zhu, Existence and Nonexistence of Extremals for critical Adams inequalities in R4 and Trudinger-Moser inequalities in R2 , Adv. Math., 368 (2020), 61pp.
15. L. Chen, Z. Liu, G. Lu and C. Tao, Stein-Weiss inequalities with the fractional Poisson kernel, Rev. Mat. Iberoam. 36 (2020), no. 5, 1289–1308
16. L. Chen, G. Lu and M. Zhu, Ground states of bi-harmonic equations with the critical exponential growth involving constant and trapping potentials, Calc. Var. Partial Differential Equations, 59 (2020), 38pp.
17. L. Chen, Z. Liu, G. Lu and C. Tao, Existence of extremal functions for the Stein-Weiss inequalities on the Heisenberg group, J. Funct. Anal. 277 (2019), no. 4, 1112–1138
18. L. Chen, G. Lu and C. Zhang, Sharp weighted Trudinger-Moser-Adams inequalities on the whole space and the existence of their extremals, Calc. Var. Partial Differential Equations, 58 (2019), 31pp.
19. L. Chen, Z. Liu, G. Lu and C. Tao, Reverse Stein-Weiss inequalities and existence of their extremal functions, Trans. Amer. Math. Soc. 370 (2018), no. 12, 8429–8450.
