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Author ID: lu.guozhen Recent zbMATH articles by "Lu, Guozhen"
Published as: Lu, Guozhen; Lu, Guo Zhen; Lu, G.
Homepage: https://www2.math.uconn.edu/~guozhenlu/
External Links: MGP · Wikidata · Google Scholar · GND · IdRef
all top 5

Co-Authors

18 single-authored
39 Lam, Nguyen
31 Chen, Lu
17 Zhu, Maochun
16 Yang, Qiaohua
12 Tang, Hanli
12 Zhang, Lu
11 Han, Yongsheng
11 Li, Jungang
10 Flynn, Joshua
9 Chen, Jiao
9 Wheeden, Richard Lee
8 Wang, Peiyong
8 Zhu, Jiuyi
7 Cohn, William S.
7 Dai, Wei
7 Ding, Wei
6 Franchi, Bruno
6 Han, Xiaolong
5 Tao, Chunxia
5 Zhu, Yueping
4 Do Ó, João M. Bezerra
4 Do, Anh Xuan
4 Huang, Liang
4 Lu, Shanzhen
4 Ponciano, Raoní Cabral
4 Ruan, Zhuoping
4 Wei, Juncheng
4 Yang, Yunyan
4 Zhang, Caifeng
3 Cui, Xiaoyue
3 Dong, Mengxia
3 Hong, Qing
3 Li, Ji
3 Liu, Yongping
3 Sawyer, Eric T.
3 Shen, Yansheng
3 Wang, Jianxiong
2 Buckley, Stephen M.
2 Chen, Shaohua
2 Dao, Nguyen Anh
2 Ding, Yong
2 Dong, Yuxin
2 Hart, Jarod V.
2 Koskela, Pekka
2 Manfredi, Juan J.
2 Pérez, Carlos
2 Sheng, Weimin
2 Stroffolini, Bianca
2 Xiao, Yayuan
1 Ahmad, Shair
1 Ambrosetti, Antonio
1 Baldi, Annalisa
1 Bao, Jiguang
1 Burchard, Almut
1 Cazacu, Cristian M.
1 Chanillo, Sagun
1 Chen, Xinfu
1 D’Ambrosio, Lorenzo
1 Dao, Anh Nguyen
1 Ferrari, Fausto
1 Fu, Jixiang
1 Ganguly, Debdip
1 Gao, Lingtian
1 Garofalo, Nicola
1 He, Danqing
1 Hofmann, Steve
1 Huang, Qingbo
1 Iosevich, Alex
1 Juutinen, Petri
1 Lanconelli, Ermanno
1 Li, Junfeng
1 Li, Xia
1 Liang, Xining
1 Lin, Chincheng
1 Lin, Yan
1 Liu, Ying
1 Liu, Zongguang
1 Luo, Xiang
1 Ma, Bolin
1 Ma, Xi-Nan
1 Mazumdar, Saikat
1 Miao, Qianyun
1 Minicozzi, William Philip II
1 Mitrea, Dorina
1 Mitrea, Marius
1 Nguyen Tuan Duy
1 Ou, Biao
1 Park, Bae Jun
1 Pipher, Jill Catherine
1 Rabinowitz, Paul Henry
1 Shaw, Mei-Chi
1 Shen, Jiawei
1 Sun, Lijing
1 Wang, Bohan
1 Wang, Xiaoming
1 Wang, Xumin
1 Wolff, Thomas H.
1 Wu, Xinfeng
1 Xu, Xingwang
1 Xue, Jianwei
...and 8 more Co-Authors
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Serials

20 Advanced Nonlinear Studies
16 The Journal of Geometric Analysis
15 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
14 Forum Mathematicum
14 Calculus of Variations and Partial Differential Equations
13 Advances in Mathematics
10 Acta Mathematica Sinica. English Series
9 Journal of Functional Analysis
9 Revista Matemática Iberoamericana
7 Journal of Differential Equations
5 Communications on Pure and Applied Analysis
4 Indiana University Mathematics Journal
4 Proceedings of the American Mathematical Society
4 Transactions of the American Mathematical Society
4 Publicacions Matemàtiques
4 Potential Analysis
4 Discrete and Continuous Dynamical Systems
3 Mathematische Zeitschrift
3 Communications in Partial Differential Equations
3 Mathematical Research Letters
3 Mathematical Sciences Research Hot-Line
2 American Journal of Mathematics
2 Canadian Mathematical Bulletin
2 Mathematische Annalen
2 Memoirs of the American Mathematical Society
2 Differential and Integral Equations
2 Analysis & PDE
2 Advanced Lectures in Mathematics (ALM)
1 Analysis Mathematica
1 Communications on Pure and Applied Mathematics
1 Studia Mathematica
1 Annales de l’Institut Fourier
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Bulletin of the London Mathematical Society
1 Bulletin de la Société Mathématique de France
1 Journal of Approximation Theory
1 Pacific Journal of Mathematics
1 Proceedings of the London Mathematical Society. Third Series
1 Ricerche di Matematica
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Approximation Theory and its Applications
1 Constructive Approximation
1 International Journal of Mathematics
1 IMRN. International Mathematics Research Notices
1 Panamerican Mathematical Journal
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Comptes Rendus de l’Académie des Sciences. Série I
1 Archive of Applied Mechanics
1 Applied Mathematics. Series B (English Edition)
1 Electronic Journal of Differential Equations (EJDE)
1 Methods and Applications of Analysis
1 Electronic Research Announcements of the American Mathematical Society
1 The Journal of Fourier Analysis and Applications
1 Communications on Applied Nonlinear Analysis
1 Vietnam Journal of Mathematics
1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
1 European Journal of Mechanics. A. Solids
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 Science China. Mathematics
1 Nonlinear Analysis. Theory, Methods & Applications
1 Applied and Numerical Harmonic Analysis

Publications by Year

Citations contained in zbMATH Open

200 Publications have been cited 4,514 times in 1,768 Documents Cited by Year
Hardy spaces associated to non-negative self-adjoint operators satisfying Davies-Gaffney estimates. Zbl 1232.42018
Hofmann, Steve; Lu, Guozhen; Mitrea, Dorina; Mitrea, Marius; Yan, Lixin
192
2011
Existence and multiplicity of solutions to equations of \(N\)-Laplacian type with critical exponential growth in \(\mathbb R^N\). Zbl 1236.35050
Lam, Nguyen; Lu, Guozhen
133
2012
A new approach to sharp Moser-Trudinger and Adams type inequalities: a rearrangement-free argument. Zbl 1294.46034
Lam, Nguyen; Lu, Guozhen
123
2013
Weighted Poincaré and Sobolev inequalities for vector fields satisfying Hörmander’s condition and applications. Zbl 0804.35015
Lu, Guozhen
106
1992
Best constants for Moser-Trudinger inequalities on the Heisenberg group. Zbl 1019.43009
Cohn, William S.; Lu, Guozhen
106
2001
Sharp Moser-Trudinger inequality on the Heisenberg group at the critical case and applications. Zbl 1278.42033
Lam, Nguyen; Lu, Guozhen
104
2012
Elliptic equations and systems with subcritical and critical exponential growth without the Ambrosetti-Rabinowitz condition. Zbl 1305.35069
Lam, Nguyen; Lu, Guozhen
84
2014
Symmetry and regularity of extremals of an integral equation related to the Hardy-Sobolev inequality. Zbl 1231.35290
Lu, Guozhen; Zhu, Jiuyi
70
2011
Representation formulas and weighted Poincaré inequalities for Hörmander vector fields. Zbl 0820.46026
Franchi, Bruno; Lu, Guozhen; Wheeden, Richard L.
67
1995
The sharp Poincaré inequality for free vector fields: An endpoint result. Zbl 0860.35006
Lu, Guozhen
66
1994
Equivalence of critical and subcritical sharp Trudinger-Moser-Adams inequalities. Zbl 1387.46034
Lam, Nguyen; Lu, Guozhen; Zhang, Lu
66
2017
Inhomogeneous infinity Laplace equation. Zbl 1152.35042
Lu, Guozhen; Wang, Peiyong
64
2008
Sharp constant and extremal function for the improved Moser-Trudinger inequality involving \(L^p\) norm in two dimension. Zbl 1182.35093
Lu, Guozhen; Yang, Yunyan
62
2009
A relationship between Poincaré-type inequalities and representation formulas in spaces of homogeneous type. Zbl 0856.43006
Franchi, Bruno; Lu, Guozhen; Wheeden, Richard L.
58
1996
Sharp subcritical Moser-Trudinger inequalities on Heisenberg groups and subelliptic PDEs. Zbl 1282.35393
Lam, Nguyen; Lu, Guozhen; Tang, Hanli
53
2014
Convex functions on the Heisenberg group. Zbl 1072.49019
Lu, Guozhen; Manfredi, Juan J.; Stroffolini, Bianca
52
2004
A PDE perspective of the normalized infinity Laplacian. Zbl 1157.35388
Lu, Guozhen; Wang, Peiyong
51
2008
Concentration-compactness principle for Trudinger-Moser inequalities on Heisenberg groups and existence of ground state solutions. Zbl 1402.46026
Li, Jungang; Lu, Guozhen; Zhu, Maochun
51
2018
Adams’ inequalities for bi-Laplacian and extremal functions in dimension four. Zbl 1172.46021
Lu, Guozhen; Yang, Yunyan
50
2009
Sharp Hardy-Adams inequalities for bi-Laplacian on hyperbolic space of dimension four. Zbl 1384.46026
Lu, Guozhen; Yang, Qiaohua
49
2017
Sharp constants for Moser-Trudinger inequalities on spheres in complex space \(\mathbb C^n\). Zbl 1063.35060
Cohn, William S.; Lu, Guozhen
45
2004
Multilinear Calderón-Zygmund operators with kernels of Dini’s type and applications. Zbl 1290.42039
Lu, Guozhen; Zhang, Pu
45
2014
\(N\)-Laplacian equations in \(\mathbb R^N\) with subcritical and critical growth without the Ambrosetti-Rabinowitz condition. Zbl 1283.35049
Lam, Nguyen; Lu, Guozhen
44
2013
An overdetermined problem in Riesz-potential and fractional Laplacian. Zbl 1236.31004
Lu, Guozhen; Zhu, Jiuyi
43
2012
Paneitz operators on hyperbolic spaces and high order Hardy-Sobolev-Maz’ya inequalities on half spaces. Zbl 1431.26013
Lu, Guozhen; Yang, Qiaohua
43
2019
Fourier analysis and optimal Hardy-Adams inequalities on hyperbolic spaces of any even dimension. Zbl 1402.46025
Li, Jungang; Lu, Guozhen; Yang, Qiaohua
43
2018
Flag Hardy spaces and Marcinkiewicz multipliers on the Heisenberg group. Zbl 1318.42026
Han, Yongsheng; Lu, Guozhen; Sawyer, Eric
42
2014
Best constants for Moser-Trudinger inequalities on high dimensional hyperbolic spaces. Zbl 1294.46035
Lu, Guozhen; Tang, Hanli
42
2013
Sharp Moser-Trudinger inequalities on hyperbolic spaces with exact growth condition. Zbl 1356.46031
Lu, Guozhen; Tang, Hanli
42
2016
Embedding theorems into Lipschitz and BMO spaces and applications to quasilinear subelliptic differential equations. Zbl 0873.35006
Lu, Guozhen
41
1996
Best constants and existence of maximizers for weighted Trudinger-Moser inequalities. Zbl 1364.46026
Dong, Mengxia; Lu, Guozhen
41
2016
Hörmander type theorems for multi-linear and multi-parameter Fourier multiplier operators with limited smoothness. Zbl 1286.42010
Chen, Jiao; Lu, Guozhen
38
2014
Existence and nonexistence of extremal functions for sharp Trudinger-Moser inequalities. Zbl 1421.35008
Lam, Nguyen; Lu, Guozhen; Zhang, Lu
37
2019
Sharp constants and optimizers for a class of Caffarelli-Kohn-Nirenberg inequalities. Zbl 1367.26035
Lam, Nguyen; Lu, Guozhen
36
2017
A sharp Trudinger-Moser inequality on any bounded and convex planar domain. Zbl 1369.46029
Lu, Guozhen; Yang, Qiaohua
36
2016
Sharp Adams type inequalities in Sobolev spaces \(W^{m,\frac{n}{m}}(\mathbb R^n)\) for arbitrary integer \(m\). Zbl 1259.46029
Lam, Nguyen; Lu, Guozhen
35
2012
Boundedness of singular integrals on multiparameter weighted Hardy spaces \(H^p_w(\mathbb R^n \times \mathbb R^m)\). Zbl 1271.42017
Ding, Yong; Han, Yongsheng; Lu, Guozhen; Wu, Xinfeng
35
2012
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
35
2018
Sharp weighted Trudinger-Moser and Caffarelli-Kohn-Nirenberg inequalities and their extremal functions. Zbl 1397.46027
Dong, Mengxia; Nguyen Lam; Lu, Guozhen
34
2018
Polynomials, higher order Sobolev extension theorems and interpolation inequalities on weighted Folland-Stein spaces on stratified groups. Zbl 0973.46020
Lu, Guozhen
33
2000
Liouville type theorems for PDE and IE systems involving fractional Laplacian on a half space. Zbl 1364.35421
Dai, Wei; Liu, Zhao; Lu, Guozhen
32
2017
Sharp singular Adams inequalities in high order Sobolev spaces. Zbl 1319.46027
Nguyen Lam; Lu, Guozhen
32
2012
Factorizations and Hardy’s type identities and inequalities on upper half spaces. Zbl 1435.26015
Lam, Nguyen; Lu, Guozhen; Zhang, Lu
31
2019
On nonuniformly subelliptic equations of \(Q\)-sub-Laplacian type with critical growth in the Heisenberg group. Zbl 1282.35139
Lam, Nguyen; Lu, Guozhen; Tang, Hanli
30
2012
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
30
2021
Best constants for Moser-Trudinger inequalities, fundamental solutions and one-parameter representation formulas on groups of Heisenberg type. Zbl 1011.22004
Cohn, William S.; Lu, Guo Zhen
29
2002
Boman equals John. Zbl 0861.43007
Buckley, S.; Koskela, P.; Lu, Guozhen
29
1996
Best constants for Adams’ inequalities with the exact growth condition in \({\mathbb R}^n\). Zbl 1352.46034
Lu, Guozhen; Tang, Hanli; Zhu, Maochun
29
2015
Characterization of balls in terms of Bessel-potential integral equation. Zbl 1229.31005
Han, Xiaolong; Lu, Guozhen; Zhu, Jiuyi
29
2012
Existence of nontrivial solutions to polyharmonic equations with subcritical and critical exponential growth. Zbl 1245.35064
Lam, Nguyen; Lu, Guozhen
29
2012
Sharp singular Trudinger-Moser inequalities under different norms. Zbl 1421.35007
Lam, Nguyen; Lu, Guozhen; Zhang, Lu
28
2019
Multiparameter Hardy space theory on Carnot-Carathéodory spaces and product spaces of homogeneous type. Zbl 1275.42035
Han, Yongsheng; Li, Ji; Lu, Guozhen
28
2013
Axial symmetry and regularity of solutions to an integral equation in a half-space. Zbl 1239.45005
Lu, Guozhen; Zhu, Jiuyi
28
2011
Geometric Hardy’s inequalities with general distance functions. Zbl 1473.35014
Lam, Nguyen; Lu, Guozhen; Zhang, Lu
28
2020
Sharp singular Trudinger-Moser inequalities in Lorentz-Sobolev spaces. Zbl 1359.46035
Lu, Guozhen; Tang, Hanli
28
2016
Multi-parameter local Hardy spaces. Zbl 1418.42038
Ding, Wei; Lu, Guozhen; Zhu, YuePing
27
2019
Hardy-Littlewood-Sobolev and Stein-Weiss inequalities and integral systems on the Heisenberg group. Zbl 1309.42032
Han, Xiaolong; Lu, Guozhen; Zhu, Jiuyi
27
2012
Discrete Calderón’s identity, atomic decomposition and boundedness criterion of operators on multiparameter Hardy spaces. Zbl 1193.42090
Han, Y.; Lu, G.; Zhao, K.
27
2010
Infinity Laplace equation with non-trivial right-hand side. Zbl 1194.35194
Lu, Guozhen; Wang, Peiyong
27
2010
On a Sobolev inequality with remainder terms. Zbl 0961.35100
Lu, Guozhen; Wei, Juncheng
26
2000
Boundedness criterion of Journé’s class of singular integrals on multiparameter Hardy spaces. Zbl 1268.42024
Han, Yongsheng; Lu, Guozhen; Ruan, Zhuoping
26
2013
Hardy spaces associated with different homogeneities and boundedness of composition operators. Zbl 1291.42018
Han, Yongsheng; Lin, Chincheng; Lu, Guozhen; Ruan, Zhuoping; Sawyer, Eric T.
26
2013
Multi-parameter Triebel-Lizorkin and Besov spaces associated with flag singular integrals. Zbl 1192.42014
Ding, Yong; Lu, Guo Zhen; Ma, Bo Lin
26
2010
A sharp Trudinger-Moser type inequality involving \(L^n\) norm in the entire space \(\mathbb{R}^n\). Zbl 1432.35081
Lu, Guozhen; Zhu, Maochun
26
2019
\(L^p\) estimates for multi-linear and multi-parameter pseudo-differential operators. (Estimations \(L^p\) pour les opérateurs pseudo-différentiels multilinéaires et multiparamètres.) Zbl 1335.47033
Dai, Wei; Lu, Guozhen
25
2015
Duality of multi-parameter Triebel-Lizorkin spaces associated with the composition of two singular integral operators. Zbl 1338.42025
Ding, Wei; Lu, Guozhen
25
2016
Duality of multiparameter Hardy spaces \(H^{p}\) on spaces of homogeneous type. Zbl 1213.42073
Han, Yongsheng; Li, Ji; Lu, Guozhen
25
2010
Concentration-compactness principle for Trudinger-Moser’s inequalities on Riemannian manifolds and Heisenberg groups: a completely symmetrization-free argument. Zbl 1486.46039
Li, Jungang; Lu, Guozhen; Zhu, Maochun
25
2021
A Fefferman-Phong type inequality for degenerate vector fields and applications. Zbl 0878.35050
Lu, Guozhen
24
1996
Sharp Adams and Hardy-Adams inequalities of any fractional order on hyperbolic spaces of all dimensions. Zbl 1451.46036
Li, Jungang; Lu, Guozhen; Yang, Qiaohua
24
2020
\(L^{p}\) boundedness of rough bi-parameter Fourier integral operators. Zbl 1381.42024
Hong, Qing; Lu, Guozhen; Zhang, Lu
24
2018
Singular integrals and commutators on homogeneous groups. Zbl 1026.43007
Lu, Guozhen; Lu, Shanzhen; Yang, Dachun
23
2002
Sharp affine and improved Moser-Trudinger-Adams type inequalities on unbounded domains in the spirit of Lions. Zbl 1372.46027
Lam, Nguyen; Lu, Guozhen; Tang, Hanli
23
2017
Existence of extremal functions for the Stein-Weiss inequalities on the Heisenberg group. Zbl 1429.26034
Chen, Lu; Lu, Guozhen; Tao, Chunxia
23
2019
Duality theory of weighted Hardy spaces with arbitrary number of parameters. Zbl 1298.42025
Lu, Guozhen; Ruan, Zhuoping
23
2014
Convex functions on Carnot groups. Zbl 1124.49024
Juutinen, Petri; Lu, Guozhen; Manfredi, Juan J.; Stroffolini, Bianca
23
2007
Local and global interpolation inequalities on the Folland-Stein Sobolev spaces and polynomials on stratified groups. Zbl 0910.26007
Lu, Guozhen
22
1997
Existence and nonexistence of positive radial solutions for a class of semilinear elliptic systems. Zbl 0934.34011
Chen, Shaohua; Lu, Guozhen
22
1999
Reverse Stein-Weiss inequalities and existence of their extremal functions. Zbl 1418.42041
Chen, Lu; Liu, Zhao; Lu, Guozhen; Tao, Chunxia
22
2018
Some equivalent definitions of high order Sobolev spaces on stratified groups and generalizations to metric spaces. Zbl 1007.46034
Liu, Yongping; Lu, Guozhen; Wheeden, Richard L.
21
2002
High order representation formulas and embedding theorems on stratified groups and generalizations. Zbl 0974.46039
Lu, Guozhen; Wheeden, Richard L.
21
2000
Embedding theorems on Campanato-Morrey spaces for vector fields of Hörmander type. Zbl 0916.46026
Lu, Guozhen
21
1998
Symbolic calculus and boundedness of multi-parameter and multi-linear pseudo-differential operators. Zbl 1321.47111
Hong, Qing; Lu, Guozhen
21
2014
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
21
2020
Discrete Littlewood-Paley-Stein characterization of multi-parameter local Hardy spaces. Zbl 1440.42104
Ding, Wei; Lu, Guozhen; Zhu, Yueping
21
2019
The Moser-Trudinger inequality in unbounded domains of Heisenberg group and sub-elliptic equations. Zbl 1254.35063
Cohn, William S.; Lam, Nguyen; Lu, Guozhen; Yang, Yunyan
21
2012
Some recent works on multiparameter Hardy space theory and discrete Littlewood-Paley analysis. Zbl 1201.42016
Han, Yongsheng; Lu, Guozhen
21
2010
Weighted Poincaré inequalities for Hörmander vector fields and local regularity for a class of degenerate elliptic equations. Zbl 0841.46018
Franchi, B.; Lu, G.; Wheeden, R. L.
19
1995
Embedding theorems on Campanato-Morrey spaces for vector fields and applications. Zbl 0842.46019
Lu, Guozhen
19
1995
Symmetry and regularity of solutions to the weighted Hardy-Sobolev type system. Zbl 1382.35326
Chen, Lu; Liu, Zhao; Lu, Guozhen
19
2016
A sharpened Moser-Pohozaev-Trudinger inequality with mean value zero in \(\mathbb R^2\). Zbl 1179.58010
Lu, Guozhen; Yang, Yunyan
18
2009
On Harnack’s inequality for a class of strongly degenerate Schrödinger operators formed by vector fields. Zbl 0827.35032
Lu, Guozhen
18
1994
An optimal representation formula for Carnot-Carathéodory vector fields. Zbl 0931.31003
Lu, Guozhen; Wheeden, Richard L.
18
1998
Simultaneous representation and approximation formulas and high-order Sobolev embedded theorems on stratified groups. Zbl 1070.46024
Lu, Guozhen; Wheeden, Richard L.
18
2004
Multi-parameter Triebel-Lizorkin spaces associated with the composition of two singular integrals and their atomic decomposition. Zbl 1335.42021
Ding, Wei; Lu, Guozhen; Zhu, Yueping
18
2016
Sub-elliptic global high order Poincaré inequalities in stratified Lie groups and applications. Zbl 1129.22007
Cohn, William S.; Lu, Guozhen; Wang, Peiyong
18
2007
Weighted \(L^{p}\) estimates for rough bi-parameter Fourier integral operators. Zbl 1401.42013
Hong, Qing; Lu, Guozhen
18
2018
Reverse Stein-Weiss inequalities on the upper half space and the existence of their extremals. Zbl 1422.42036
Chen, Lu; Lu, Guozhen; Tao, Chunxia
18
2019
Boundedness of singular integrals in Journé’s class on weighted multiparameter Hardy spaces. Zbl 1302.42024
Han, Yongsheng; Lu, Guozhen; Ruan, Zhuoping
17
2014
Singular integrals and weighted Triebel-Lizorkin and Besov spaces of arbitrary number of parameters. Zbl 1261.42030
Lu, Guo Zhen; Zhu, Yue Ping
17
2013
Caffarelli-Kohn-Nirenberg identities, inequalities and their stabilities. Zbl 1539.81078
Cazacu, Cristian; Flynn, Joshua; Lam, Nguyen; Lu, Guozhen
3
2024
Stability of Hardy-Littlewood-Sobolev inequalities with explicit lower bounds. Zbl 07872190
Chen, Lu; Lu, Guozhen; Tang, Hanli
1
2024
Sharp higher order Adams’ inequality with exact growth condition on weighted Sobolev spaces. Zbl 1541.35182
do Ó, João Marcos; Lu, Guozhen; Ponciano, Raoní
1
2024
Trudinger-Moser and Hardy-Trudinger-Moser inequalities for the Aharonov-Bohm magnetic field. Zbl 07831584
Lu, Guozhen; Yang, Qiaohua
1
2024
Bi-parameter and bilinear Calderón-Vaillancourt theorem with critical order. Zbl 07920530
Chen, Jiao; Huang, Liang; Lu, Guozhen
1
2024
A new approach to weighted Hardy-Rellich inequalities: improvements, symmetrization principle and symmetry breaking. Zbl 07931689
Do, Anh Xuan; Lam, Nguyen; Lu, Guozhen
1
2024
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
7
2023
Hardy’s identities and inequalities on Cartan-Hadamard manifolds. Zbl 1505.26031
Flynn, Joshua; Lam, Nguyen; Lu, Guozhen; Mazumdar, Saikat
7
2023
Sharp stability of log-Sobolev and Moser-Onofri inequalities on the sphere. Zbl 1526.46021
Chen, Lu; Lu, Guozhen; Tang, Hanli
6
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
6
2023
Existence of extremals for Trudinger-Moser inequalities involved with a trapping potential. Zbl 1514.35181
Chen, Lu; Lu, Guozhen; Zhu, Maochun
4
2023
Potential characterizations of geodesic balls on hyperbolic spaces: a moving plane approach. Zbl 1510.35190
Li, Jungang; Lu, Guozhen; Wang, Jianxiong
3
2023
Multi-parameter Hardy spaces theory and endpoint estimates for multi-parameter singular integrals. Zbl 1510.42002
Lu, Guozhen; Shen, Jiawei; Zhang, Lu
3
2023
Improved \(L^p\)-Hardy and \(L^p\)-Rellich inequalities with magnetic fields. Zbl 1531.35022
Lam, Nguyen; Lu, Guozhen
2
2023
Green’s functions of Paneitz and GJMS operators on hyperbolic spaces and sharp Hardy-Sobolev-Maz’ya inequalities on half spaces. Zbl 1493.46057
Lu, Guozhen; Yang, Qiaohua
16
2022
Sharp Hardy-Sobolev-Maz’ya, Adams and Hardy-Adams inequalities on the Siegel domains and complex hyperbolic spaces. Zbl 1496.32053
Lu, Guozhen; Yang, Qiaohua
11
2022
\(p\)-Bessel pairs, Hardy’s identities and inequalities and Hardy-Sobolev inequalities with monomial weights. Zbl 1482.42058
Duy, Nguyen Tuan; Lam, Nguyen; Lu, Guozhen
11
2022
Fefferman type criterion on weighted bi-parameter local Hardy spaces and boundedness of bi-parameter pseudodifferential operators. Zbl 1503.42020
Ding, Wei; Lu, Guozhen
8
2022
Hardy-Poincaré-Sobolev type inequalities on hyperbolic spaces and related Riemannian manifolds. Zbl 1509.46024
Flynn, Joshua; Lam, Nguyen; Lu, Guozhen
5
2022
Higher order Brezis-Nirenberg problem on hyperbolic spaces: existence, nonexistence and symmetry of solutions. Zbl 1496.35211
Li, Jungang; Lu, Guozhen; Yang, Qiaohua
5
2022
Gagliardo-Nirenberg and Sobolev interpolation inequalities on Besov spaces. Zbl 1491.46022
Dao, Nguyen Anh; Lam, Nguyen; Lu, Guozhen
4
2022
Bi-parameter trilinear Fourier multipliers and pseudo-differential operators with flag symbols. Zbl 1491.42012
Lu, Guozhen; Pipher, Jill; Zhang, Lu
3
2022
Extendability and the \(\overline{\partial}\) operator on the Hartogs triangle. Zbl 1510.32089
Burchard, Almut; Flynn, Joshua; Lu, Guozhen; Shaw, Mei-Chi
3
2022
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
3
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
3
2022
Existence and non-existence of extremals for critical Adams inequality in any even dimension. Zbl 1502.46026
Chen, Lu; Lu, Guozhen; Zhu, Maochun
2
2022
Sharp subcritical Sobolev inequalities and uniqueness of nonnegative solutions to high-order Lane-Emden equations on \(\mathbb{S}^n\). Zbl 1508.46025
Chen, Lu; Lu, Guozhen; Shen, Yansheng
1
2022
Gagliardo-Nirenberg type inequalities on Lorentz, Marcinkiewicz and weak-\(L^{\infty}\) spaces. Zbl 1497.46035
Dao, Anh Nguyen; Lam, Nguyen; Lu, Guozhen
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
30
2021
Concentration-compactness principle for Trudinger-Moser’s inequalities on Riemannian manifolds and Heisenberg groups: a completely symmetrization-free argument. Zbl 1486.46039
Li, Jungang; Lu, Guozhen; Zhu, Maochun
25
2021
Critical and subcritical Trudinger-Moser inequalities on complete noncompact Riemannian manifolds. Zbl 1482.46040
Li, Jungang; Lu, Guozhen
17
2021
Sharp Hardy identities and inequalities on Carnot groups. Zbl 1479.43012
Flynn, Joshua; Lam, Nguyen; Lu, Guozhen
14
2021
A critical Trudinger-Moser inequality involving a degenerate potential and nonlinear Schrödinger equations. Zbl 1468.35040
Chen, Lu; Lu, Guozhen; Zhu, Maochun
12
2021
Sharpened Trudinger-Moser inequalities on the Euclidean space and Heisenberg group. Zbl 1487.46034
Chen, Lu; Lu, Guozhen; Zhu, Maochun
6
2021
Hörmander Fourier multiplier theorems with optimal regularity in bi-parameter Besov spaces. Zbl 1480.42017
Chen, Jiao; Huang, Liang; Lu, Guozhen
6
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
4
2021
Hörmander Fourier multiplier theorems with optimal Besov regularity on multi-parameter Hardy spaces. Zbl 1486.42011
Chen, Jiao; Huang, Liang; Lu, Guozhen
3
2021
Geometric Hardy’s inequalities with general distance functions. Zbl 1473.35014
Lam, Nguyen; Lu, Guozhen; Zhang, Lu
28
2020
Sharp Adams and Hardy-Adams inequalities of any fractional order on hyperbolic spaces of all dimensions. Zbl 1451.46036
Li, Jungang; Lu, Guozhen; Yang, Qiaohua
24
2020
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
21
2020
Stein-Weiss inequalities with the fractional Poisson kernel. Zbl 1459.35006
Chen, Lu; Liu, Zhao; Lu, Guozhen; Tao, Chunxia
17
2020
Boundedness of multi-parameter pseudo-differential operators on multi-parameter local Hardy spaces. Zbl 1442.42054
Chen, Jiao; Ding, Wei; Lu, Guozhen
15
2020
Boundedness of inhomogeneous Journé’s type operators on multi-parameter local Hardy spaces. Zbl 1440.42052
Ding, Wei; Lu, Guozhen
14
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
13
2020
Existence of solutions to fractional \(p\)-Laplacian systems with homogeneous nonlinearities of critical Sobolev growth. Zbl 1445.35306
Lu, Guozhen; Shen, Yansheng
12
2020
Sharp Hardy-Trudinger-Moser inequalities in any \(N\)-dimensional hyperbolic spaces. Zbl 1462.46040
Liang, Xining; Lu, Guozhen; Wang, Xumin; Yang, Qiaohua
12
2020
Paneitz operators on hyperbolic spaces and high order Hardy-Sobolev-Maz’ya inequalities on half spaces. Zbl 1431.26013
Lu, Guozhen; Yang, Qiaohua
43
2019
Existence and nonexistence of extremal functions for sharp Trudinger-Moser inequalities. Zbl 1421.35008
Lam, Nguyen; Lu, Guozhen; Zhang, Lu
37
2019
Factorizations and Hardy’s type identities and inequalities on upper half spaces. Zbl 1435.26015
Lam, Nguyen; Lu, Guozhen; Zhang, Lu
31
2019
Sharp singular Trudinger-Moser inequalities under different norms. Zbl 1421.35007
Lam, Nguyen; Lu, Guozhen; Zhang, Lu
28
2019
Multi-parameter local Hardy spaces. Zbl 1418.42038
Ding, Wei; Lu, Guozhen; Zhu, YuePing
27
2019
A sharp Trudinger-Moser type inequality involving \(L^n\) norm in the entire space \(\mathbb{R}^n\). Zbl 1432.35081
Lu, Guozhen; Zhu, Maochun
26
2019
Existence of extremal functions for the Stein-Weiss inequalities on the Heisenberg group. Zbl 1429.26034
Chen, Lu; Lu, Guozhen; Tao, Chunxia
23
2019
Discrete Littlewood-Paley-Stein characterization of multi-parameter local Hardy spaces. Zbl 1440.42104
Ding, Wei; Lu, Guozhen; Zhu, Yueping
21
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
18
2019
Hardy-Littlewood-Sobolev inequalities with the fractional Poisson kernel and their applications in PDEs. Zbl 1418.35008
Chen, Lu; Lu, Guozhen; Tao, Chunxia
14
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
Sharp maximal estimates for multilinear commutators of multilinear strongly singular Calderón-Zygmund operators and applications. Zbl 1409.42011
Lin, Yan; Lu, Guozhen; Lu, Shanzhen
9
2019
Viscosity solutions to inhomogeneous Aronsson’s equations involving Hamiltonians \(\langle A(x)p,p\rangle \). Zbl 1420.35096
Lu, Guozhen; Miao, Qianyun; Zhou, Yuan
1
2019
Concentration-compactness principle for Trudinger-Moser inequalities on Heisenberg groups and existence of ground state solutions. Zbl 1402.46026
Li, Jungang; Lu, Guozhen; Zhu, Maochun
51
2018
Fourier analysis and optimal Hardy-Adams inequalities on hyperbolic spaces of any even dimension. Zbl 1402.46025
Li, Jungang; Lu, Guozhen; Yang, Qiaohua
43
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
35
2018
Sharp weighted Trudinger-Moser and Caffarelli-Kohn-Nirenberg inequalities and their extremal functions. Zbl 1397.46027
Dong, Mengxia; Nguyen Lam; Lu, Guozhen
34
2018
\(L^{p}\) boundedness of rough bi-parameter Fourier integral operators. Zbl 1381.42024
Hong, Qing; Lu, Guozhen; Zhang, Lu
24
2018
Reverse Stein-Weiss inequalities and existence of their extremal functions. Zbl 1418.42041
Chen, Lu; Liu, Zhao; Lu, Guozhen; Tao, Chunxia
22
2018
Weighted \(L^{p}\) estimates for rough bi-parameter Fourier integral operators. Zbl 1401.42013
Hong, Qing; Lu, Guozhen
18
2018
Hörmander type theorem on bi-parameter Hardy spaces for bi-parameter Fourier multipliers with optimal smoothness. Zbl 1422.42023
Chen, Jiao; Lu, Guozhen
14
2018
Weighted Moser-Onofri-Beckner and logarithmic Sobolev inequalities. Zbl 1392.26029
Lam, Nguyen; Lu, Guozhen
5
2018
Equivalence of critical and subcritical sharp Trudinger-Moser-Adams inequalities. Zbl 1387.46034
Lam, Nguyen; Lu, Guozhen; Zhang, Lu
66
2017
Sharp Hardy-Adams inequalities for bi-Laplacian on hyperbolic space of dimension four. Zbl 1384.46026
Lu, Guozhen; Yang, Qiaohua
49
2017
Sharp constants and optimizers for a class of Caffarelli-Kohn-Nirenberg inequalities. Zbl 1367.26035
Lam, Nguyen; Lu, Guozhen
36
2017
Liouville type theorems for PDE and IE systems involving fractional Laplacian on a half space. Zbl 1364.35421
Dai, Wei; Liu, Zhao; Lu, Guozhen
32
2017
Sharp affine and improved Moser-Trudinger-Adams type inequalities on unbounded domains in the spirit of Lions. Zbl 1372.46027
Lam, Nguyen; Lu, Guozhen; Tang, Hanli
23
2017
Hardy-Sobolev type integral systems with Dirichlet boundary conditions in a half space. Zbl 1369.45005
Dai, Wei; Liu, Zhao; Lu, Guozhen
11
2017
\(\mathrm{L}^p\) estimates for a trilinear pseudo-differential operator with flag symbols. Zbl 1371.42012
Lu, Guozhen; Zhang, Lu
7
2017
Dynamic inversion characteristics of composite reinforced tubes. Zbl 1406.74164
Guo, D.; Fang, C. Q.; Wang, X.; Lu, G.
1
2017
Sharp Moser-Trudinger inequalities on hyperbolic spaces with exact growth condition. Zbl 1356.46031
Lu, Guozhen; Tang, Hanli
42
2016
Best constants and existence of maximizers for weighted Trudinger-Moser inequalities. Zbl 1364.46026
Dong, Mengxia; Lu, Guozhen
41
2016
A sharp Trudinger-Moser inequality on any bounded and convex planar domain. Zbl 1369.46029
Lu, Guozhen; Yang, Qiaohua
36
2016
Sharp singular Trudinger-Moser inequalities in Lorentz-Sobolev spaces. Zbl 1359.46035
Lu, Guozhen; Tang, Hanli
28
2016
Duality of multi-parameter Triebel-Lizorkin spaces associated with the composition of two singular integral operators. Zbl 1338.42025
Ding, Wei; Lu, Guozhen
25
2016
Symmetry and regularity of solutions to the weighted Hardy-Sobolev type system. Zbl 1382.35326
Chen, Lu; Liu, Zhao; Lu, Guozhen
19
2016
Multi-parameter Triebel-Lizorkin spaces associated with the composition of two singular integrals and their atomic decomposition. Zbl 1335.42021
Ding, Wei; Lu, Guozhen; Zhu, Yueping
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
16
2016
Polyharmonic equations with critical exponential growth in the whole space \(\mathbb{R}^{n}\). Zbl 1323.35046
Lu, Guozhen; Lam, Nguyen; Bao, Jiguang
11
2016
Bi-parameter and bilinear Calderón-Vaillancourt theorem with subcritical order. Zbl 1351.42028
Lu, Guozhen; Zhang, Lu
9
2016
Hardy space estimates for Littlewood-Paley-Stein square functions and Calderón-Zygmund operators. Zbl 1337.42019
Hart, Jarod; Lu, Guozhen
5
2016
Hardy space estimates for bilinear square functions and Calderón-Zygmund operators. Zbl 1358.42012
Hart, Jarod; Lu, Guozhen
3
2016
Best constants for Adams’ inequalities with the exact growth condition in \({\mathbb R}^n\). Zbl 1352.46034
Lu, Guozhen; Tang, Hanli; Zhu, Maochun
29
2015
\(L^p\) estimates for multi-linear and multi-parameter pseudo-differential operators. (Estimations \(L^p\) pour les opérateurs pseudo-différentiels multilinéaires et multiparamètres.) Zbl 1335.47033
Dai, Wei; Lu, Guozhen
25
2015
The maximum principles and symmetry results for viscosity solutions of fully nonlinear equations. Zbl 1312.35033
Lu, Guozhen; Zhu, Jiuyi
15
2015
Sharp singular Trudinger-Moser-Adams type inequalities with exact growth. Zbl 1338.35016
Lam, Nguyen; Lu, Guozhen
9
2015
Poincaré and Sobolev inequalities for vector fields satisfying Hörmander’s condition in variable exponent Sobolev spaces. Zbl 1339.46033
Li, Xia; Lu, Guo Zhen; Tang, Han Li
8
2015
Characterizations of second order Sobolev spaces. Zbl 1339.46030
Cui, Xiaoyue; Lam, Nguyen; Lu, Guozhen
4
2015
\(L^p\) estimates for bilinear and multiparameter Hilbert transforms. Zbl 1329.42008
Dai, Wei; Lu, Guozhen
2
2015
Elliptic equations and systems with subcritical and critical exponential growth without the Ambrosetti-Rabinowitz condition. Zbl 1305.35069
Lam, Nguyen; Lu, Guozhen
84
2014
Sharp subcritical Moser-Trudinger inequalities on Heisenberg groups and subelliptic PDEs. Zbl 1282.35393
Lam, Nguyen; Lu, Guozhen; Tang, Hanli
53
2014
Multilinear Calderón-Zygmund operators with kernels of Dini’s type and applications. Zbl 1290.42039
Lu, Guozhen; Zhang, Pu
45
2014
Flag Hardy spaces and Marcinkiewicz multipliers on the Heisenberg group. Zbl 1318.42026
Han, Yongsheng; Lu, Guozhen; Sawyer, Eric
42
2014
Hörmander type theorems for multi-linear and multi-parameter Fourier multiplier operators with limited smoothness. Zbl 1286.42010
Chen, Jiao; Lu, Guozhen
38
2014
...and 100 more Documents
all top 5

Cited by 1,492 Authors

135 Lu, Guozhen
48 Lam, Nguyen
44 Yang, Dachun
35 Chen, Lu
33 Duong, Xuan Thinh
33 Li, Ji
30 Yang, Qiaohua
28 The Anh Bui
28 Zhu, Maochun
25 Niu, Pengcheng
24 Do Ó, João M. Bezerra
24 Yan, Lixin
23 Nguyễn Văn Hoàng
21 Franchi, Bruno
20 Ding, Wei
19 Yang, Yunyan
18 Deng, Shengbing
17 Song, Liang
16 Han, Yongsheng
16 Nguyen Tuan Duy
16 Wang, Jialin
16 Yang, Minbo
16 Yang, Sibei
15 Chen, Wenxiong
15 Guliyev, Vagif Sabir
15 Wu, Xinfeng
14 Manfredi, Juan J.
14 Zhu, Yueping
13 Chen, Jiao
13 Dai, Wei
13 Liu, Fang
13 Tang, Hanli
12 Baldi, Annalisa
12 Bonfiglioli, Andrea
12 Ruzhansky, Michael V.
12 Zhao, Jiman
11 Li, Pengtao
11 Liao, Dongni
11 Lin, Yan
11 Liu, Yu
11 Wheeden, Richard Lee
11 Zhang, Caifeng
10 Aouaoui, Sami
10 Cao, Jun
10 Chang, Der-Chen E.
10 Dou, Jingbo
10 Dridi, Brahim
10 Ferrari, Fausto
10 Flynn, Joshua
10 Huang, Jizheng
10 Jaidane, Rached
10 Lanconelli, Ermanno
10 Pucci, Patrizia
10 Sani, Federica
10 Uguzzoni, Francesco
10 Wang, Pengyan
10 Zhang, Lu
10 Zhang, Mengjie
9 Chen, Peng
9 Chua, Seng-Kee
9 Di Fazio, Giuseppe
9 Dziubański, Jacek
9 Garofalo, Nicola
9 Hong, Qing
9 Li, Congming
9 Li, Jungang
9 Pei, Ruichang
9 Pérez, Carlos
9 Rădulescu, Vicenţiu D.
9 Shen, Liejun
9 Tian, Xingliang
9 Wang, Xumin
9 Zhu, Jiuyi
8 Capogna, Luca
8 Fanciullo, Maria Stella
8 He, Shaoyong
8 Hu, Guorong
8 Huang, Liang
8 Liu, Zongguang
8 Miyagaki, Olimpio Hiroshi
8 Morbidelli, Daniele
8 Tan, Chaoqiang
8 Wick, Brett Duane
8 Xue, Qingying
8 Yang, Xiaoping
8 Yang, Zuodong
8 Zhang, Pu
7 Chen, Jiecheng
7 Citti, Giovanna
7 Du, Guangwei
7 Han, Yanchang
7 Han, Yazhou
7 Liu, Suying
7 Liu, Yanjun
7 Mohammed, Ahmed
7 Montanari, Annamaria
7 Phi, Le Long
7 Preisner, Marcin
7 Rossi, Julio Daniel
7 Shen, Yansheng
...and 1,392 more Authors
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Cited in 246 Serials

119 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
81 Journal of Mathematical Analysis and Applications
74 The Journal of Geometric Analysis
61 Journal of Functional Analysis
55 Advanced Nonlinear Studies
49 Calculus of Variations and Partial Differential Equations
47 Journal of Differential Equations
44 Proceedings of the American Mathematical Society
44 Acta Mathematica Sinica. English Series
39 Potential Analysis
39 Communications on Pure and Applied Analysis
35 Transactions of the American Mathematical Society
34 Advances in Mathematics
28 Mathematische Annalen
28 Mathematische Nachrichten
26 Discrete and Continuous Dynamical Systems
26 Journal of Inequalities and Applications
25 Complex Variables and Elliptic Equations
25 Science China. Mathematics
24 Forum Mathematicum
21 Boundary Value Problems
19 Annali di Matematica Pura ed Applicata. Serie Quarta
19 The Journal of Fourier Analysis and Applications
18 Mathematical Methods in the Applied Sciences
18 Communications in Contemporary Mathematics
17 Journal of Pseudo-Differential Operators and Applications
16 Mathematische Zeitschrift
14 Applicable Analysis
14 Manuscripta Mathematica
14 Revista Matemática Iberoamericana
14 Journal of Function Spaces
13 Communications in Partial Differential Equations
12 NoDEA. Nonlinear Differential Equations and Applications
12 Mathematical Inequalities & Applications
11 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
11 Mediterranean Journal of Mathematics
10 Studia Mathematica
10 Siberian Mathematical Journal
10 Revista Matemática Complutense
10 Banach Journal of Mathematical Analysis
10 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
10 Advances in Nonlinear Analysis
9 Pacific Journal of Mathematics
9 Applied Mathematics Letters
9 Abstract and Applied Analysis
9 Journal of Mathematical Inequalities
9 Advances in Calculus of Variations
8 Journal of Mathematical Physics
8 Mathematical Notes
8 Czechoslovak Mathematical Journal
8 International Journal of Mathematics
8 Journal de Mathématiques Pures et Appliquées. Neuvième Série
7 Journal d’Analyse Mathématique
7 ZAMP. Zeitschrift für angewandte Mathematik und Physik
7 Memoirs of the American Mathematical Society
7 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
7 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
7 Analysis and Mathematical Physics
6 Archiv der Mathematik
6 Results in Mathematics
6 Electronic Journal of Differential Equations (EJDE)
6 Bulletin des Sciences Mathématiques
6 Taiwanese Journal of Mathematics
6 Frontiers of Mathematics in China
5 Nonlinearity
5 Rocky Mountain Journal of Mathematics
5 Annales de l’Institut Fourier
5 Journal of the Korean Mathematical Society
5 Monatshefte für Mathematik
5 Acta Applicandae Mathematicae
5 SIAM Journal on Mathematical Analysis
5 Annales Academiae Scientiarum Fennicae. Mathematica
5 Vietnam Journal of Mathematics
5 Journal of the Australian Mathematical Society
5 Acta Mathematica Scientia. Series B. (English Edition)
5 Analysis in Theory and Applications
5 Analysis and Applications (Singapore)
5 Journal of Function Spaces and Applications
5 Journal of Elliptic and Parabolic Equations
4 Indian Journal of Pure & Applied Mathematics
4 Integral Equations and Operator Theory
4 Journal of Approximation Theory
4 Journal of the Mathematical Society of Japan
4 Rendiconti del Circolo Matemàtico di Palermo. Serie II
4 Chinese Annals of Mathematics. Series B
4 Annals of Global Analysis and Geometry
4 Acta Mathematicae Applicatae Sinica. English Series
4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
4 Applied Mathematics. Series B (English Edition)
4 Nonlinear Analysis. Real World Applications
4 Journal of Evolution Equations
4 Acta Mathematica Sinica. Chinese Series
4 Discrete and Continuous Dynamical Systems. Series S
4 Analysis & PDE
4 Annals of Functional Analysis
4 Bulletin of Mathematical Sciences
4 Journal of Applied Analysis and Computation
4 Analysis and Geometry in Metric Spaces
4 Annales Fennici Mathematici
3 Bulletin of the London Mathematical Society
...and 146 more Serials
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Cited in 45 Fields

1,087 Partial differential equations (35-XX)
540 Harmonic analysis on Euclidean spaces (42-XX)
461 Functional analysis (46-XX)
247 Real functions (26-XX)
168 Operator theory (47-XX)
113 Abstract harmonic analysis (43-XX)
111 Global analysis, analysis on manifolds (58-XX)
78 Differential geometry (53-XX)
66 Topological groups, Lie groups (22-XX)
65 Calculus of variations and optimal control; optimization (49-XX)
57 Integral equations (45-XX)
55 Potential theory (31-XX)
53 Functions of a complex variable (30-XX)
26 Several complex variables and analytic spaces (32-XX)
18 Ordinary differential equations (34-XX)
17 Convex and discrete geometry (52-XX)
12 Numerical analysis (65-XX)
10 Measure and integration (28-XX)
10 Special functions (33-XX)
9 Probability theory and stochastic processes (60-XX)
8 Difference and functional equations (39-XX)
7 Fluid mechanics (76-XX)
7 Quantum theory (81-XX)
6 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
6 Information and communication theory, circuits (94-XX)
5 Approximations and expansions (41-XX)
5 Integral transforms, operational calculus (44-XX)
4 Combinatorics (05-XX)
4 Dynamical systems and ergodic theory (37-XX)
4 Biology and other natural sciences (92-XX)
3 Nonassociative rings and algebras (17-XX)
3 Manifolds and cell complexes (57-XX)
3 Mechanics of particles and systems (70-XX)
2 General and overarching topics; collections (00-XX)
2 Group theory and generalizations (20-XX)
2 Computer science (68-XX)
2 Mechanics of deformable solids (74-XX)
2 Statistical mechanics, structure of matter (82-XX)
2 Relativity and gravitational theory (83-XX)
1 Number theory (11-XX)
1 Geometry (51-XX)
1 General topology (54-XX)
1 Algebraic topology (55-XX)
1 Statistics (62-XX)
1 Systems theory; control (93-XX)

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