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Author ID: chen.lu Recent zbMATH articles by "Chen, Lu"
Published as: Chen, Lu

Publications by Year

Citations contained in zbMATH Open

29 Publications have been cited 290 times in 127 Documents Cited by Year
Concentration-compactness principle of singular Trudinger-Moser inequalities in \(\mathbb{R}^n\) and \(n\)-Laplace equations. Zbl 1397.35117
Zhang, Caifeng; Chen, Lu
42
2018
Sharpened Adams inequality and ground state solutions to the bi-Laplacian equation in \(\mathbb{R}^4\). Zbl 1397.35097
Chen, Lu; Li, Jungang; Lu, Guozhen; Zhang, Caifeng
30
2018
Existence of extremal functions for the Stein-Weiss inequalities on the Heisenberg group. Zbl 1429.26034
Chen, Lu; Lu, Guozhen; Tao, Chunxia
20
2019
Reverse Stein-Weiss inequalities and existence of their extremal functions. Zbl 1418.42041
Chen, Lu; Liu, Zhao; Lu, Guozhen; Tao, Chunxia
19
2018
Symmetry and regularity of solutions to the weighted Hardy-Sobolev type system. Zbl 1382.35326
Chen, Lu; Liu, Zhao; Lu, Guozhen
18
2016
Sharp Trudinger-Moser inequality and ground state solutions to quasi-linear Schrödinger equations with degenerate potentials in \(\mathbb{R}^n\). Zbl 1479.35264
Chen, Lu; Lu, Guozhen; Zhu, Maochun
18
2021
Existence and nonexistence of extremals for critical Adams inequalities in \(\mathbb{R}^4\) and Trudinger-Moser inequalities in \(\mathbb{R}^2\). Zbl 1441.35121
Chen, Lu; Lu, Guozhen; Zhu, Maochun
16
2020
Stein-Weiss inequalities with the fractional Poisson kernel. Zbl 1459.35006
Chen, Lu; Liu, Zhao; Lu, Guozhen; Tao, Chunxia
16
2020
Boundedness of multi-parameter Fourier multiplier operators on Triebel-Lizorkin and Besov-Lipschitz spaces. Zbl 1333.42013
Chen, Lu; Lu, Guozhen; Luo, Xiang
14
2016
Reverse Stein-Weiss inequalities on the upper half space and the existence of their extremals. Zbl 1422.42036
Chen, Lu; Lu, Guozhen; Tao, Chunxia
13
2019
Sharp weighted Trudinger-Moser-Adams inequalities on the whole space and the existence of their extremals. Zbl 1421.35099
Chen, Lu; Lu, Guozhen; Zhang, Caifeng
13
2019
Hardy-Littlewood-Sobolev inequalities with the fractional Poisson kernel and their applications in PDEs. Zbl 1418.35008
Chen, Lu; Lu, Guozhen; Tao, Chunxia
11
2019
Ground states of bi-harmonic equations with critical exponential growth involving constant and trapping potentials. Zbl 1467.46033
Chen, Lu; Lu, Guozhen; Zhu, Maochun
10
2020
A critical Trudinger-Moser inequality involving a degenerate potential and nonlinear Schrödinger equations. Zbl 1468.35040
Chen, Lu; Lu, Guozhen; Zhu, Maochun
10
2021
Sharpened Trudinger-Moser inequalities on the Euclidean space and Heisenberg group. Zbl 1487.46034
Chen, Lu; Lu, Guozhen; Zhu, Maochun
4
2021
Improved fractional Trudinger-Moser inequalities on bounded intervals and the existence of their extremals. Zbl 1527.46020
Chen, Lu; Wang, Bohan; Zhu, Maochun
4
2023
Existence and non-existence of ground states of bi-harmonic equations involving constant and degenerate Rabinowitz potentials. Zbl 1506.35093
Chen, Lu; Lu, Guozhen; Zhu, Maochun
4
2023
Ground state solutions of polyharmonic equations with potentials of positive low bound. Zbl 1437.35245
Zhang, Caifeng; Li, Jungang; Chen, Lu
4
2020
Liouville type theorems for general integral system with negative exponents. Zbl 1401.45007
Liu, Zhao; Chen, Lu; Wang, Xumin
4
2018
Least energy solutions to quasilinear subelliptic equations with constant and degenerate potentials on the Heisenberg group. Zbl 1523.35272
Chen, Lu; Lu, Guozhen; Zhu, Maochun
3
2023
Maximizers for fractional Caffarelli-Kohn-Nirenberg and Trudinger-Moser inequalities on the fractional Sobolev spaces. Zbl 1465.35206
Chen, Lu; Lu, Guozhen; Zhang, Caifeng
3
2021
Sharp stability of log-Sobolev and Moser-Onofri inequalities on the sphere. Zbl 1526.46021
Chen, Lu; Lu, Guozhen; Tang, Hanli
3
2023
Singular Moser-Trudinger inequality with the exact growth condition in \(\mathbb{R}^n\). Zbl 1375.35013
Liu, Zhao; Chen, Lu
2
2017
Sharp weighted Trudinger-Moser inequalities with the \(L^n\) norm in the entire space \(\mathbb{R}^n\) and existence of their extremal functions. Zbl 1459.35139
Wang, Xumin; Chen, Lu
2
2021
Sharp critical and subcritical trace Trudinger-Moser and Adams inequalities on the upper half-spaces. Zbl 1491.35191
Chen, Lu; Lu, Guozhen; Yang, Qiaohua; Zhu, Maochun
2
2022
Existence of extremals for Trudinger-Moser inequalities involved with a trapping potential. Zbl 1514.35181
Chen, Lu; Lu, Guozhen; Zhu, Maochun
2
2023
Singular Moser-Trudinger inequality with the exact growth condition on hyperbolic space. Zbl 1365.42015
Liu, Zhao; Chen, Lu
1
2017
A sharpened form of Adams-type inequalities on higher-order Sobolev spaces \(W^{m,\frac{n}{m}}(\mathbb{R}^n)\): a simple approach. Zbl 1522.46026
Chen, Lu; Lu, Guozhen; Zhu, Maocun
1
2022
Existence and non-existence of extremals for critical Adams inequality in any even dimension. Zbl 1502.46026
Chen, Lu; Lu, Guozhen; Zhu, Maochun
1
2022
Improved fractional Trudinger-Moser inequalities on bounded intervals and the existence of their extremals. Zbl 1527.46020
Chen, Lu; Wang, Bohan; Zhu, Maochun
4
2023
Existence and non-existence of ground states of bi-harmonic equations involving constant and degenerate Rabinowitz potentials. Zbl 1506.35093
Chen, Lu; Lu, Guozhen; Zhu, Maochun
4
2023
Least energy solutions to quasilinear subelliptic equations with constant and degenerate potentials on the Heisenberg group. Zbl 1523.35272
Chen, Lu; Lu, Guozhen; Zhu, Maochun
3
2023
Sharp stability of log-Sobolev and Moser-Onofri inequalities on the sphere. Zbl 1526.46021
Chen, Lu; Lu, Guozhen; Tang, Hanli
3
2023
Existence of extremals for Trudinger-Moser inequalities involved with a trapping potential. Zbl 1514.35181
Chen, Lu; Lu, Guozhen; Zhu, Maochun
2
2023
Sharp critical and subcritical trace Trudinger-Moser and Adams inequalities on the upper half-spaces. Zbl 1491.35191
Chen, Lu; Lu, Guozhen; Yang, Qiaohua; Zhu, Maochun
2
2022
A sharpened form of Adams-type inequalities on higher-order Sobolev spaces \(W^{m,\frac{n}{m}}(\mathbb{R}^n)\): a simple approach. Zbl 1522.46026
Chen, Lu; Lu, Guozhen; Zhu, Maocun
1
2022
Existence and non-existence of extremals for critical Adams inequality in any even dimension. Zbl 1502.46026
Chen, Lu; Lu, Guozhen; Zhu, Maochun
1
2022
Sharp Trudinger-Moser inequality and ground state solutions to quasi-linear Schrödinger equations with degenerate potentials in \(\mathbb{R}^n\). Zbl 1479.35264
Chen, Lu; Lu, Guozhen; Zhu, Maochun
18
2021
A critical Trudinger-Moser inequality involving a degenerate potential and nonlinear Schrödinger equations. Zbl 1468.35040
Chen, Lu; Lu, Guozhen; Zhu, Maochun
10
2021
Sharpened Trudinger-Moser inequalities on the Euclidean space and Heisenberg group. Zbl 1487.46034
Chen, Lu; Lu, Guozhen; Zhu, Maochun
4
2021
Maximizers for fractional Caffarelli-Kohn-Nirenberg and Trudinger-Moser inequalities on the fractional Sobolev spaces. Zbl 1465.35206
Chen, Lu; Lu, Guozhen; Zhang, Caifeng
3
2021
Sharp weighted Trudinger-Moser inequalities with the \(L^n\) norm in the entire space \(\mathbb{R}^n\) and existence of their extremal functions. Zbl 1459.35139
Wang, Xumin; Chen, Lu
2
2021
Existence and nonexistence of extremals for critical Adams inequalities in \(\mathbb{R}^4\) and Trudinger-Moser inequalities in \(\mathbb{R}^2\). Zbl 1441.35121
Chen, Lu; Lu, Guozhen; Zhu, Maochun
16
2020
Stein-Weiss inequalities with the fractional Poisson kernel. Zbl 1459.35006
Chen, Lu; Liu, Zhao; Lu, Guozhen; Tao, Chunxia
16
2020
Ground states of bi-harmonic equations with critical exponential growth involving constant and trapping potentials. Zbl 1467.46033
Chen, Lu; Lu, Guozhen; Zhu, Maochun
10
2020
Ground state solutions of polyharmonic equations with potentials of positive low bound. Zbl 1437.35245
Zhang, Caifeng; Li, Jungang; Chen, Lu
4
2020
Existence of extremal functions for the Stein-Weiss inequalities on the Heisenberg group. Zbl 1429.26034
Chen, Lu; Lu, Guozhen; Tao, Chunxia
20
2019
Reverse Stein-Weiss inequalities on the upper half space and the existence of their extremals. Zbl 1422.42036
Chen, Lu; Lu, Guozhen; Tao, Chunxia
13
2019
Sharp weighted Trudinger-Moser-Adams inequalities on the whole space and the existence of their extremals. Zbl 1421.35099
Chen, Lu; Lu, Guozhen; Zhang, Caifeng
13
2019
Hardy-Littlewood-Sobolev inequalities with the fractional Poisson kernel and their applications in PDEs. Zbl 1418.35008
Chen, Lu; Lu, Guozhen; Tao, Chunxia
11
2019
Concentration-compactness principle of singular Trudinger-Moser inequalities in \(\mathbb{R}^n\) and \(n\)-Laplace equations. Zbl 1397.35117
Zhang, Caifeng; Chen, Lu
42
2018
Sharpened Adams inequality and ground state solutions to the bi-Laplacian equation in \(\mathbb{R}^4\). Zbl 1397.35097
Chen, Lu; Li, Jungang; Lu, Guozhen; Zhang, Caifeng
30
2018
Reverse Stein-Weiss inequalities and existence of their extremal functions. Zbl 1418.42041
Chen, Lu; Liu, Zhao; Lu, Guozhen; Tao, Chunxia
19
2018
Liouville type theorems for general integral system with negative exponents. Zbl 1401.45007
Liu, Zhao; Chen, Lu; Wang, Xumin
4
2018
Singular Moser-Trudinger inequality with the exact growth condition in \(\mathbb{R}^n\). Zbl 1375.35013
Liu, Zhao; Chen, Lu
2
2017
Singular Moser-Trudinger inequality with the exact growth condition on hyperbolic space. Zbl 1365.42015
Liu, Zhao; Chen, Lu
1
2017
Symmetry and regularity of solutions to the weighted Hardy-Sobolev type system. Zbl 1382.35326
Chen, Lu; Liu, Zhao; Lu, Guozhen
18
2016
Boundedness of multi-parameter Fourier multiplier operators on Triebel-Lizorkin and Besov-Lipschitz spaces. Zbl 1333.42013
Chen, Lu; Lu, Guozhen; Luo, Xiang
14
2016
all top 5

Cited by 124 Authors

33 Lu, Guozhen
29 Chen, Lu
20 Zhu, Maochun
8 Zhang, Caifeng
7 Yang, Minbo
6 Tao, Chunxia
6 Wang, Xumin
5 Hu, Yunyun
5 Lam, Nguyen
5 Zhao, Jiman
4 Fang, Jingxuan
4 Li, Jungang
4 Liu, Yanjun
4 Zhou, Xianmei
3 Dridi, Brahim
3 Jaidane, Rached
3 Li, Hongbo
3 Tang, Hanli
3 Yang, Qiaohua
3 Yu, Fang
3 Zhang, Lu
2 Cazacu, Cristian M.
2 Chen, Jiao
2 Chen, Wenjing
2 de Souza, Manassés X.
2 Deng, Shengbing
2 Dou, Jingbo
2 Flynn, Joshua
2 Hong, Qing
2 Huang, Liang
2 König, Tobias
2 Liu, Chungen
2 Ruzhansky, Michael V.
2 Shen, Yansheng
2 Suragan, Durvudkhan
2 Torres Ledesma, César Enrique
2 Vanterler da Costa Sousa, José
2 Wang, Guanglan
2 Xu, Chengdan
1 Abdelhakim, Ahmed A.
1 Adhikari, Saswata
1 Anoop, V. P.
1 Chang, Huiting
1 Chen, Qiuhui
1 Chen, Wenhuan
1 Chen, Wenxiong
1 Chetouane, Rima
1 Cruz, Amado M.
1 Dai, Wei
1 Dao, Anh Nguyen
1 de Nápoli, Pablo Luis
1 de Oliveira, José Francisco Alves
1 de S. Germano, Diogo
1 DelaTorre, Azahara
1 Ding, Wei
1 Dolbeault, Jean
1 Du, Lele
1 Dwivedi, Gaurav
1 Feng, Zhaosheng
1 Frank, Rupert L.
1 Fu, Zunwei
1 Gao, Fashun
1 Gupta, Shilpa Das
1 Han, Yazhou
1 Hashizume, Masato
1 He, Guoqing
1 Huan, Zhongdan
1 Kassymov, Aidyn Adilovich
1 Li, Dongliang
1 Li, Nina
1 Li, Xiang
1 Lin, Xiaolu
1 Liu, Heping
1 Liu, Jun
1 Liu, Suying
1 Liu, Xiaoqian
1 Liu, Yin
1 Ma, Xing
1 Macedo, Abiel Costa
1 Mancini, Gabriele
1 Melgaard, Michael
1 Nguyen Tuan Duy
1 Parui, Sanjay
1 Phi, Le Long
1 Picon, Tiago Henrique
1 Pucci, Patrizia
1 Qi, Shijie
1 Qian, Xiaoyong
1 Rădulescu, Vicenţiu D.
1 Severo, Uberlandio Batista
1 Shen, Zifei
1 Song, Naiqi
1 Song, Zhen
1 Squassina, Marco
1 Sun, Jingxuan
1 Tang, Chun-Lei
1 Tang, Sufang
1 Tian, Xingliang
1 Wang, Bohan
1 Wang, Jun
...and 24 more Authors
all top 5

Cited in 53 Serials

18 Advanced Nonlinear Studies
9 The Journal of Geometric Analysis
9 Communications on Pure and Applied Analysis
8 Calculus of Variations and Partial Differential Equations
4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 Proceedings of the American Mathematical Society
4 Potential Analysis
4 Acta Mathematica Sinica. English Series
4 Complex Variables and Elliptic Equations
3 Advances in Mathematics
3 Journal of Differential Equations
3 Pacific Journal of Mathematics
3 Mediterranean Journal of Mathematics
3 Science China. Mathematics
2 Applicable Analysis
2 Journal of Functional Analysis
2 Mathematische Zeitschrift
2 Revista Matemática Iberoamericana
2 Forum Mathematicum
2 Discrete and Continuous Dynamical Systems
2 Mathematical Inequalities & Applications
2 Acta Mathematica Sinica. Chinese Series
1 Journal of Mathematical Analysis and Applications
1 Lithuanian Mathematical Journal
1 Mathematical Methods in the Applied Sciences
1 Studia Mathematica
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Annales Polonici Mathematici
1 Bulletin of the London Mathematical Society
1 Canadian Mathematical Bulletin
1 Illinois Journal of Mathematics
1 Proceedings of the London Mathematical Society. Third Series
1 Transactions of the American Mathematical Society
1 Chinese Annals of Mathematics. Series B
1 Applied Mathematics Letters
1 International Journal of Mathematics
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Taiwanese Journal of Mathematics
1 Journal of Inequalities and Applications
1 Communications in Contemporary Mathematics
1 Journal of Nonlinear Mathematical Physics
1 Acta Mathematica Scientia. Series B. (English Edition)
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 International Journal of Wavelets, Multiresolution and Information Processing
1 Complex Analysis and Operator Theory
1 Journal of Mathematical Inequalities
1 Annals of Functional Analysis
1 Communications in Mathematics and Statistics
1 Advances in Nonlinear Analysis
1 Journal of Function Spaces
1 Journal of Elliptic and Parabolic Equations
1 La Matematica

Citations by Year