个人简历

Educational Background
► 09/2013--06/2018, PhD in Pure Mathematics, School of Mathematics, Beijing Normal University. Major: Harmonic analysis and applications.
► 09/2009--08/2013, Bachelor in Mathematics, Anhui Normal University, China.
Working Experience
► 09/2018--Present, Assistant Professor, School of Mathematics and Statistics, Beijing Institute of Technology.

近期论文

Publications
[1] L. Chen, G. Lu and M. Zhu: Existence and nonexistence of extremals for critical Adams inequalities in R4 and Trudinger-Moser inequalities in R2. Adv. Math. 368 (2020), 107143, 61 pp.
[2] L. Chen, Z. Liu , G. Lu and C. Tao: Stein-Weiss inequalities with the fractional Poisson kernel, Rev. Mat. Iberoam (2020), doi: 10.4171/RMI/1167.
[3] L. Chen, G. Lu and C. Zhang: Maximizers for fractional Caffarelli-Kohn-Nirenberg and Trudinger-Moser inequalities on the fractional Sobolev spaces, J. Geom. Anal, (2020), doi:10.1007/s12220-020-00406-1.
[4] X. Wang, L.Chen: Sharp weighted Trudinger-Moser inequalities with the L^n norm in the entire space and existence of their extremals, Potential analysis, (2020), doi:10.1007/s11118-019-09821-8.
[5] C. Zhang, J. Li and L. Chen: Ground state solutions of polyharmonic equations with potentials of positive low bound. Pacific J. Math. 305 (2020), no. 1, 353–384.
[6] L. Chen and Z. Liu: Classification of solutions for an integral system with negative exponents on half space, Applicable Analysis, (2020), doi:10.1080/00036811.2020.1770735.
[7] 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), no. 4.
[8] L. Chen, 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.
[9] L. Chen, G. Lu and C. Tao: Reverse Stein-Weiss inequalities on the upper half space and the existence of their extremals. Adv. Nonlinear Stud. 19 (2019), no. 3, 475–494.
[10] L. Chen, G. Lu and C. Tao: Hardy-Littlewood-Sobolev inequalities with the fractional Poisson kernel and their applications in PDEs. Acta Math. Sin. (Engl. Ser.) 35 (2019), no. 6, 853–875.
[11] L. Chen, 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.