Edit Profile (opens in new tab) Lu, Guozhen Co-Author Distance Author ID: lu.guozhen Published as: Lu, Guozhen; Lu, Guo Zhen; Lu, G. more...less Homepage: https://www2.math.uconn.edu/~guozhenlu/ External Links: MGP · Wikidata · Google Scholar · GND · IdRef Documents Indexed: 233 Publications since 1991, including 2 Books and 19 Additional arXiv Preprints 8 Contributions as Editor Co-Authors: 104 Co-Authors with 220 Joint Publications 2,727 Co-Co-Authors 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 all top 5 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 all top 5 Fields 126 Partial differential equations (35-XX) 95 Functional analysis (46-XX) 89 Harmonic analysis on Euclidean spaces (42-XX) 40 Real functions (26-XX) 20 Topological groups, Lie groups (22-XX) 14 Abstract harmonic analysis (43-XX) 12 Integral equations (45-XX) 10 Potential theory (31-XX) 10 Operator theory (47-XX) 9 Global analysis, analysis on manifolds (58-XX) 8 Differential geometry (53-XX) 7 General and overarching topics; collections (00-XX) 7 Approximations and expansions (41-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Fluid mechanics (76-XX) 2 Functions of a complex variable (30-XX) 2 Special functions (33-XX) 2 Ordinary differential equations (34-XX) 2 Convex and discrete geometry (52-XX) 2 Numerical analysis (65-XX) 2 Mechanics of deformable solids (74-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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 all top 5 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 all top 5 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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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