个人简介
主持国家自然科学基金青年基金和面上项目各一项，在调和分析，几何泛函不等式以及非线性偏微分方程等领域中取得了一系列重要进展，相关成果发表于 Proc. London. Math. Soc., Adv. Math, Trans. Amer. Math. Soc., J. Funct. Anal.,等权威数学杂志期刊.
教育背景
2009.09-2013.08 安徽师范大学 数学与应用数学 学士
2013.09-2018.08 北京师范大学 调和分析及其应用 博士
工作经历
2018.09-至今 北京理工大学 预聘助理教授
2019.09-2020.09 比萨高等师范学院 访问学者
近期论文
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L. Chen, G. Lu, M. Zhu, Least energy solutions to quasilinear subelliptic equations with constant and degenerate potentials on the Heisenberg group, to appear in Proc. London. Math. Soc.
L. Chen, G. Lu, M. Zhu, Existence and Nonexistence of Extremals for critical Adams inequalities in and Trudinger-Moser inequalities in , Advances in Mathematics, 368 (2020), 61pp.
L. Chen, Z. Liu, G. Lu, C. Tao, Reverse Stein-Weiss inequalities and existence of their extremals, Trans. Amer. Math. Soc., 370 (2018), 8429-8450.
L. Chen, G. Lu, C. Tao, Existence of extremal functions for the Stein-Weiss inequalities on the Heisenberg group, J. Funct. Anal., 277 (2019), 1112-1138.
L. Chen, Liu. Zhao, G. Lu and C. Tao, Stein-Weiss inequalities with the fractional Poisson kernel, Rev. Mat. Iberoam., 36?(2020),?no. 5, 1289–1308.
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.
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.
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.
L. Chen, G. Lu, Q. Yang and M. Zhu, Sharp Critical and Subcritical Trace Trudinger-Moser and Adams Inequalities on the Upper Half-Spaces, J. Geom. Anal. 32?(2022),?no. 7, 37 pp
L. Chen, G. Lu, M. Zhu, Existence and non-existence of extremals for critical Adams inequality in any even dimension, J. Geom. Anal. 32?(2022),?no. 10, Paper No. 243, 40 pp.
L. Chen, G. Lu, M. Zhu, Sharpened Trudinger-Moser inequalities on the Euclidean space and Heisenberg group. J. Geom. Anal., 31 (2021), 12155-12181.
L. Chen, G. Lu, C. Zhang, Maximizers for fractional Caffarelli-Kohn-Nirenberg and Trudinger-Moser inequalities on the fractional Sobolev spaces,J. Geom. Anal. 31?(2021),?no. 4, 3556–3582.
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