Edit Profile (opens in new tab) Lu, Guozhen Compute Distance To: Compute 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: 184 Publications since 1991, including 1 Book 5 Contributions as Editor Co-Authors: 88 Co-Authors with 173 Joint Publications 2,651 Co-Co-Authors all top 5 Co-Authors 16 single-authored 30 Lam, Nguyen 17 Chen, Lu 10 Han, Yongsheng 10 Zhang, Lu 10 Zhu, Maochun 9 Wheeden, Richard Lee 9 Yang, Qiaohua 8 Tang, Hanli 8 Wang, Peiyong 8 Zhu, Jiuyi 7 Chen, Jiao 7 Cohn, William S. 7 Li, Jungang 6 Dai, Wei 6 Ding, Wei 6 Franchi, Bruno 6 Han, Xiaolong 5 Tao, Chunxia 5 Zhu, Yueping 4 Lu, Shanzhen 4 Ruan, Zhuoping 4 Wei, Juncheng 4 Yang, Yunyan 3 Cui, Xiaoyue 3 Hong, Qing 3 Huang, Liang 3 Li, Ji 3 Liu, Yongping 3 Sawyer, Eric T. 3 Zhang, Caifeng 2 Buckley, Stephen M. 2 Chen, Shaohua 2 Ding, Yong 2 Dong, Mengxia 2 Dong, Yuxin 2 Flynn, Joshua 2 Hart, Jarod V. 2 Koskela, Pekka 2 Manfredi, Juan J. 2 Pérez, Carlos 2 Stroffolini, Bianca 2 Xiao, Yayuan 1 Ambrosetti, Antonio 1 Baldi, Annalisa 1 Bao, Jiguang 1 Burchard, Almut 1 Chanillo, Sagun 1 Chen, Xinfu 1 D’Ambrosio, Lorenzo 1 Dao, Anh Nguyen 1 Dao, Nguyen Anh 1 Ferrari, Fausto 1 Fu, Jixiang 1 Garofalo, Nicola 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, Zongguang 1 Luo, Xiang 1 Ma, Bolin 1 Miao, Qianyun 1 Mitrea, Dorina 1 Mitrea, Marius 1 Nguyen Tuan Duy 1 Ou, Biao 1 Pipher, Jill Catherine 1 Rabinowitz, Paul Henry 1 Shaw, Mei-Chi 1 Shen, Yansheng 1 Sheng, Weimin 1 Sun, Lijing 1 Wang, Xumin 1 Wolff, Thomas H. 1 Wu, Xinfeng 1 Xu, Xingwang 1 Yan, Lixin 1 Yang, Dachun 1 Zhang, Pu 1 Zhao, Kai 1 Zhou, Yuan 1 Zhu, Xiaohua all top 5 Serials 17 Advanced Nonlinear Studies 15 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 11 Forum Mathematicum 11 The Journal of Geometric Analysis 10 Advances in Mathematics 10 Acta Mathematica Sinica. English Series 9 Calculus of Variations and Partial Differential Equations 8 Revista Matemática Iberoamericana 7 Journal of Differential Equations 7 Journal of Functional 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 Communications on Pure and Applied Analysis 3 Mathematische Zeitschrift 3 Communications in Partial Differential Equations 3 Mathematical Research Letters 3 Discrete and Continuous Dynamical Systems 3 Mathematical Sciences Research Hot-Line 2 American Journal of Mathematics 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 Canadian Mathematical Bulletin 1 Journal of Approximation Theory 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 1 Pacific Journal of Mathematics 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 Comptes Rendus de l’Académie des Sciences. Série I 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 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 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 103 Partial differential equations (35-XX) 78 Functional analysis (46-XX) 77 Harmonic analysis on Euclidean spaces (42-XX) 28 Real functions (26-XX) 19 Topological groups, Lie groups (22-XX) 13 Abstract harmonic analysis (43-XX) 12 Integral equations (45-XX) 9 Potential theory (31-XX) 8 Operator theory (47-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Approximations and expansions (41-XX) 6 Differential geometry (53-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 General and overarching topics; collections (00-XX) 3 Several complex variables and analytic spaces (32-XX) 2 Functions of a complex variable (30-XX) 2 Fluid mechanics (76-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Convex and discrete geometry (52-XX) 1 Numerical analysis (65-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 168 Publications have been cited 2,960 times in 1,285 Documents Cited by ▼ Year ▼ Hardy spaces associated to non-negative self-adjoint operators satisfying Davies-Gaffney estimates. Zbl 1232.42018Hofmann, Steve; Lu, Guozhen; Mitrea, Dorina; Mitrea, Marius; Yan, Lixin 151 2011 Weighted Poincaré and Sobolev inequalities for vector fields satisfying Hörmander’s condition and applications. Zbl 0804.35015Lu, Guozhen 88 1992 Existence and multiplicity of solutions to equations of \(N\)-Laplacian type with critical exponential growth in \(\mathbb R^N\). Zbl 1236.35050Lam, Nguyen; Lu, Guozhen 84 2012 A new approach to sharp Moser-Trudinger and Adams type inequalities: a rearrangement-free argument. Zbl 1294.46034Lam, Nguyen; Lu, Guozhen 83 2013 Best constants for Moser-Trudinger inequalities on the Heisenberg group. Zbl 1019.43009Cohn, William S.; Lu, Guozhen 82 2001 Sharp Moser-Trudinger inequality on the Heisenberg group at the critical case and applications. Zbl 1278.42033Lam, Nguyen; Lu, Guozhen 68 2012 The sharp Poincaré inequality for free vector fields: An endpoint result. Zbl 0860.35006Lu, Guozhen 54 1994 Symmetry and regularity of extremals of an integral equation related to the Hardy-Sobolev inequality. Zbl 1231.35290Lu, Guozhen; Zhu, Jiuyi 54 2011 Representation formulas and weighted Poincaré inequalities for Hörmander vector fields. Zbl 0820.46026Franchi, Bruno; Lu, Guozhen; Wheeden, Richard L. 54 1995 Inhomogeneous infinity Laplace equation. Zbl 1152.35042Lu, Guozhen; Wang, Peiyong 53 2008 Elliptic equations and systems with subcritical and critical exponential growth without the Ambrosetti-Rabinowitz condition. Zbl 1305.35069Lam, Nguyen; Lu, Guozhen 51 2014 Sharp constant and extremal function for the improved Moser-Trudinger inequality involving \(L^p\) norm in two dimension. Zbl 1182.35093Lu, Guozhen; Yang, Yunyan 49 2009 Equivalence of critical and subcritical sharp Trudinger-Moser-Adams inequalities. Zbl 1387.46034Lam, Nguyen; Lu, Guozhen; Zhang, Lu 47 2017 Convex functions on the Heisenberg group. Zbl 1072.49019Lu, Guozhen; Manfredi, Juan J.; Stroffolini, Bianca 47 2004 A relationship between Poincaré-type inequalities and representation formulas in spaces of homogeneous type. Zbl 0856.43006Franchi, Bruno; Lu, Guozhen; Wheeden, Richard L. 46 1996 A PDE perspective of the normalized infinity Laplacian. Zbl 1157.35388Lu, Guozhen; Wang, Peiyong 39 2008 Sharp subcritical Moser-Trudinger inequalities on Heisenberg groups and subelliptic PDEs. Zbl 1282.35393Lam, Nguyen; Lu, Guozhen; Tang, Hanli 36 2014 Adams’ inequalities for bi-Laplacian and extremal functions in dimension four. Zbl 1172.46021Lu, Guozhen; Yang, Yunyan 36 2009 Sharp constants for Moser-Trudinger inequalities on spheres in complex space \(\mathbb C^n\). Zbl 1063.35060Cohn, William S.; Lu, Guozhen 35 2004 Sharp Hardy-Adams inequalities for bi-Laplacian on hyperbolic space of dimension four. Zbl 1384.46026Lu, Guozhen; Yang, Qiaohua 34 2017 Embedding theorems into Lipschitz and BMO spaces and applications to quasilinear subelliptic differential equations. Zbl 0873.35006Lu, Guozhen 33 1996 An overdetermined problem in Riesz-potential and fractional Laplacian. Zbl 1236.31004Lu, Guozhen; Zhu, Jiuyi 33 2012 Sharp Moser-Trudinger inequalities on hyperbolic spaces with exact growth condition. Zbl 1356.46031Lu, Guozhen; Tang, Hanli 32 2016 \(N\)-Laplacian equations in \(\mathbb R^N\) with subcritical and critical growth without the Ambrosetti-Rabinowitz condition. Zbl 1283.35049Lam, Nguyen; Lu, Guozhen 32 2013 Best constants for Moser-Trudinger inequalities on high dimensional hyperbolic spaces. Zbl 1294.46035Lu, Guozhen; Tang, Hanli 31 2013 Hörmander type theorems for multi-linear and multi-parameter Fourier multiplier operators with limited smoothness. Zbl 1286.42010Chen, Jiao; Lu, Guozhen 30 2014 Flag Hardy spaces and Marcinkiewicz multipliers on the Heisenberg group. Zbl 1318.42026Han, Yongsheng; Lu, Guozhen; Sawyer, Eric 29 2014 Best constants and existence of maximizers for weighted Trudinger-Moser inequalities. Zbl 1364.46026Dong, Mengxia; Lu, Guozhen 28 2016 Fourier analysis and optimal Hardy-Adams inequalities on hyperbolic spaces of any even dimension. Zbl 1402.46025Li, Jungang; Lu, Guozhen; Yang, Qiaohua 28 2018 Sharp constants and optimizers for a class of Caffarelli-Kohn-Nirenberg inequalities. Zbl 1367.26035Lam, Nguyen; Lu, Guozhen 27 2017 Best constants for Moser-Trudinger inequalities, fundamental solutions and one-parameter representation formulas on groups of Heisenberg type. Zbl 1011.22004Cohn, William S.; Lu, Guo Zhen 27 2002 Sharp weighted Trudinger-Moser and Caffarelli-Kohn-Nirenberg inequalities and their extremal functions. Zbl 1397.46027Dong, Mengxia; Nguyen Lam; Lu, Guozhen 27 2018 Concentration-compactness principle for Trudinger-Moser inequalities on Heisenberg groups and existence of ground state solutions. Zbl 1402.46026Li, Jungang; Lu, Guozhen; Zhu, Maochun 26 2018 Paneitz operators on hyperbolic spaces and high order Hardy-Sobolev-Maz’ya inequalities on half spaces. Zbl 1431.26013Lu, Guozhen; Yang, Qiaohua 26 2019 Sharp Adams type inequalities in Sobolev spaces \(W^{m,\frac{n}{m}}(\mathbb R^n)\) for arbitrary integer \(m\). Zbl 1259.46029Lam, Nguyen; Lu, Guozhen 25 2012 Characterization of balls in terms of Bessel-potential integral equation. Zbl 1229.31005Han, Xiaolong; Lu, Guozhen; Zhu, Jiuyi 25 2012 Multilinear Calderón-Zygmund operators with kernels of Dini’s type and applications. Zbl 1290.42039Lu, Guozhen; Zhang, Pu 24 2014 A sharp Trudinger-Moser inequality on any bounded and convex planar domain. Zbl 1369.46029Lu, Guozhen; Yang, Qiaohua 24 2016 Polynomials, higher order Sobolev extension theorems and interpolation inequalities on weighted Folland-Stein spaces on stratified groups. Zbl 0973.46020Lu, Guozhen 24 2000 Sharp singular Adams inequalities in high order Sobolev spaces. Zbl 1319.46027Nguyen Lam; Lu, Guozhen 24 2012 Multiparameter Hardy space theory on Carnot-Carathéodory spaces and product spaces of homogeneous type. Zbl 1275.42035Han, Yongsheng; Li, Ji; Lu, Guozhen 22 2013 On nonuniformly subelliptic equations of \(Q\)-sub-Laplacian type with critical growth in the Heisenberg group. Zbl 1282.35139Lam, Nguyen; Lu, Guozhen; Tang, Hanli 22 2012 Some equivalent definitions of high order Sobolev spaces on stratified groups and generalizations to metric spaces. Zbl 1007.46034Liu, Yongping; Lu, Guozhen; Wheeden, Richard L. 21 2002 Boundedness of singular integrals on multiparameter weighted Hardy spaces \(H^p_w(\mathbb R^n \times \mathbb R^m)\). Zbl 1271.42017Ding, Yong; Han, Yongsheng; Lu, Guozhen; Wu, Xinfeng 21 2012 Convex functions on Carnot groups. Zbl 1124.49024Juutinen, Petri; Lu, Guozhen; Manfredi, Juan J.; Stroffolini, Bianca 21 2007 Best constants for Adams’ inequalities with the exact growth condition in \({\mathbb R}^n\). Zbl 1352.46034Lu, Guozhen; Tang, Hanli; Zhu, Maochun 20 2015 Existence and nonexistence of positive radial solutions for a class of semilinear elliptic systems. Zbl 0934.34011Chen, Shaohua; Lu, Guozhen 20 1999 Discrete Calderón’s identity, atomic decomposition and boundedness criterion of operators on multiparameter Hardy spaces. Zbl 1193.42090Han, Y.; Lu, G.; Zhao, K. 20 2010 Multi-parameter Triebel-Lizorkin and Besov spaces associated with flag singular integrals. Zbl 1192.42014Ding, Yong; Lu, Guo Zhen; Ma, Bo Lin 20 2010 Sharpened Adams inequality and ground state solutions to the bi-Laplacian equation in \(\mathbb{R}^4\). Zbl 1397.35097Chen, Lu; Li, Jungang; Lu, Guozhen; Zhang, Caifeng 20 2018 A Fefferman-Phong type inequality for degenerate vector fields and applications. Zbl 0878.35050Lu, Guozhen 19 1996 Duality of multiparameter Hardy spaces \(H^{p}\) on spaces of homogeneous type. Zbl 1213.42073Han, Yongsheng; Li, Ji; Lu, Guozhen 19 2010 \(L^p\) estimates for multi-linear and multi-parameter pseudo-differential operators. (Estimations \(L^p\) pour les opérateurs pseudo-différentiels multilinéaires et multiparamètres.) Zbl 1335.47033Dai, Wei; Lu, Guozhen 19 2015 Embedding theorems on Campanato-Morrey spaces for vector fields of Hörmander type. Zbl 0916.46026Lu, Guozhen 19 1998 Infinity Laplace equation with non-trivial right-hand side. Zbl 1194.35194Lu, Guozhen; Wang, Peiyong 19 2010 Axial symmetry and regularity of solutions to an integral equation in a half-space. Zbl 1239.45005Lu, Guozhen; Zhu, Jiuyi 19 2011 Singular integrals and commutators on homogeneous groups. Zbl 1026.43007Lu, Guozhen; Lu, Shanzhen; Yang, Dachun 19 2002 Existence of nontrivial solutions to polyharmonic equations with subcritical and critical exponential growth. Zbl 1245.35064Lam, Nguyen; Lu, Guozhen 19 2012 Sharp singular Trudinger-Moser inequalities in Lorentz-Sobolev spaces. Zbl 1359.46035Lu, Guozhen; Tang, Hanli 18 2016 Sharp affine and improved Moser-Trudinger-Adams type inequalities on unbounded domains in the spirit of Lions. Zbl 1372.46027Lam, Nguyen; Lu, Guozhen; Tang, Hanli 18 2017 Local and global interpolation inequalities on the Folland-Stein Sobolev spaces and polynomials on stratified groups. Zbl 0910.26007Lu, Guozhen 18 1997 Factorizations and Hardy’s type identities and inequalities on upper half spaces. Zbl 1435.26015Lam, Nguyen; Lu, Guozhen; Zhang, Lu 18 2019 Boman equals John. Zbl 0861.43007Buckley, S.; Koskela, P.; Lu, Guozhen 17 1996 Liouville type theorems for PDE and IE systems involving fractional Laplacian on a half space. Zbl 1364.35421Dai, Wei; Liu, Zhao; Lu, Guozhen 17 2017 Boundedness criterion of Journé’s class of singular integrals on multiparameter Hardy spaces. Zbl 1268.42024Han, Yongsheng; Lu, Guozhen; Ruan, Zhuoping 17 2013 Weighted Poincaré inequalities for Hörmander vector fields and local regularity for a class of degenerate elliptic equations. Zbl 0841.46018Franchi, B.; Lu, G.; Wheeden, R. L. 16 1995 Some recent works on multiparameter Hardy space theory and discrete Littlewood-Paley analysis. Zbl 1201.42016Han, Yongsheng; Lu, Guozhen 16 2010 High order representation formulas and embedding theorems on stratified groups and generalizations. Zbl 0974.46039Lu, Guozhen; Wheeden, Richard L. 16 2000 Existence and nonexistence of extremal functions for sharp Trudinger-Moser inequalities. Zbl 1421.35008Lam, Nguyen; Lu, Guozhen; Zhang, Lu 16 2019 Duality theory of weighted Hardy spaces with arbitrary number of parameters. Zbl 1298.42025Lu, Guozhen; Ruan, Zhuoping 16 2014 Hardy-Littlewood-Sobolev and Stein-Weiss inequalities and integral systems on the Heisenberg group. Zbl 1309.42032Han, Xiaolong; Lu, Guozhen; Zhu, Jiuyi 16 2012 \(L^{p}\) boundedness of rough bi-parameter Fourier integral operators. Zbl 1381.42024Hong, Qing; Lu, Guozhen; Zhang, Lu 15 2018 Embedding theorems on Campanato-Morrey spaces for vector fields and applications. Zbl 0842.46019Lu, Guozhen 15 1995 A sharpened Moser-Pohozaev-Trudinger inequality with mean value zero in \(\mathbb R^2\). Zbl 1179.58010Lu, Guozhen; Yang, Yunyan 15 2009 Hardy spaces associated with different homogeneities and boundedness of composition operators. Zbl 1291.42018Han, Yongsheng; Lin, Chincheng; Lu, Guozhen; Ruan, Zhuoping; Sawyer, Eric T. 15 2013 An optimal representation formula for Carnot-Carathéodory vector fields. Zbl 0931.31003Lu, Guozhen; Wheeden, Richard L. 15 1998 Geometric Hardy’s inequalities with general distance functions. Zbl 1473.35014Lam, Nguyen; Lu, Guozhen; Zhang, Lu 15 2020 On Harnack’s inequality for a class of strongly degenerate Schrödinger operators formed by vector fields. Zbl 0827.35032Lu, Guozhen 14 1994 Symbolic calculus and boundedness of multi-parameter and multi-linear pseudo-differential operators. Zbl 1321.47111Hong, Qing; Lu, Guozhen 14 2014 Simultaneous representation and approximation formulas and high-order Sobolev embedded theorems on stratified groups. Zbl 1070.46024Lu, Guozhen; Wheeden, Richard L. 14 2004 The Moser-Trudinger inequality in unbounded domains of Heisenberg group and sub-elliptic equations. Zbl 1254.35063Cohn, William S.; Lam, Nguyen; Lu, Guozhen; Yang, Yunyan 14 2012 Sub-elliptic global high order Poincaré inequalities in stratified Lie groups and applications. Zbl 1129.22007Cohn, William S.; Lu, Guozhen; Wang, Peiyong 14 2007 A sharp Trudinger-Moser type inequality involving \(L^n\) norm in the entire space \(\mathbb{R}^n\). Zbl 1432.35081Lu, Guozhen; Zhu, Maochun 14 2019 Existence and size estimates for the Green’s functions of differential operators constructed from degenerate vector fields. Zbl 0798.35002Lu, Guozhen 13 1992 Symmetry and regularity of solutions to the weighted Hardy-Sobolev type system. Zbl 1382.35326Chen, Lu; Liu, Zhao; Lu, Guozhen 13 2016 Duality of multi-parameter Triebel-Lizorkin spaces associated with the composition of two singular integral operators. Zbl 1338.42025Ding, Wei; Lu, Guozhen 13 2016 The Moser-Trudinger and Adams inequalities and elliptic and subelliptic equations with nonlinearity of exponential growth. Zbl 1317.35018Lam, Nguyen; Lu, Guozhen 13 2012 On positive entire solutions to the Yamabe-type problem on the Heisenberg and stratified groups. Zbl 0887.35052Lu, Guozhen; Wei, Juncheng 13 1997 Multi-parameter local Hardy spaces. Zbl 1418.42038Ding, Wei; Lu, Guozhen; Zhu, YuePing 13 2019 Regularity of solutions to an integral equation associated with Bessel potential. Zbl 1237.45002Han, Xiaolong; Lu, Guozhen 11 2011 Bounds of singular integrals on weighted Hardy spaces and discrete Littlewood-Paley analysis. Zbl 1408.42009Lu, Guozhen; Zhu, Yueping 11 2012 Singular integrals and weighted Triebel-Lizorkin and Besov spaces of arbitrary number of parameters. Zbl 1261.42030Lu, Guo Zhen; Zhu, Yue Ping 11 2013 Sharp Adams and Hardy-Adams inequalities of any fractional order on hyperbolic spaces of all dimensions. Zbl 1451.46036Li, Jungang; Lu, Guozhen; Yang, Qiaohua 11 2020 Boundedness of multi-parameter Fourier multiplier operators on Triebel-Lizorkin and Besov-Lipschitz spaces. Zbl 1333.42013Chen, Lu; Lu, Guozhen; Luo, Xiang 10 2016 On nonlinear Schrödinger equations with totally degenerate potentials. Zbl 0911.35047Lu, Guozhen; Wei, Juncheng 10 1998 On a Sobolev inequality with remainder terms. Zbl 0961.35100Lu, Guozhen; Wei, Juncheng 10 2000 Sharp singular Trudinger-Moser inequalities under different norms. Zbl 1421.35007Lam, Nguyen; Lu, Guozhen; Zhang, Lu 10 2019 Global Poincaré inequalities on the Heisenberg group and applications. Zbl 1131.46024Dong, Yu Xin; Lu, Guo Zhen; Sun, Li Jing 10 2007 Poincaré inequalities, isoperimetric estimates, and representation formulas on product spaces. Zbl 0931.26007Lu, Guozhen; Wheeden, Richard L. 9 1998 A uniqueness theorem for degenerate elliptic equations. Zbl 1187.35109Lu, Guozhen; Wang, Peiyong 9 2008 Green’s functions of Paneitz and GJMS operators on hyperbolic spaces and sharp Hardy-Sobolev-Maz’ya inequalities on half spaces. Zbl 07483893Lu, Guozhen; Yang, Qiaohua 1 2022 Critical and subcritical Trudinger-Moser inequalities on complete noncompact Riemannian manifolds. Zbl 1482.46040Li, Jungang; Lu, Guozhen 5 2021 A critical Trudinger-Moser inequality involving a degenerate potential and nonlinear Schrödinger equations. Zbl 1468.35040Chen, Lu; Lu, Guozhen; Zhu, Maochun 3 2021 Sharp Hardy identities and inequalities on Carnot groups. Zbl 1479.43012Flynn, Joshua; Lam, Nguyen; Lu, Guozhen 3 2021 Sharp Trudinger-Moser inequality and ground state solutions to quasi-linear Schrödinger equations with degenerate potentials in \(\mathbb{R}^n\). Zbl 1479.35264Chen, Lu; Lu, Guozhen; Zhu, Maochun 2 2021 Concentration-compactness principle for Trudinger-Moser’s inequalities on Riemannian manifolds and Heisenberg groups: a completely symmetrization-free argument. Zbl 07420206Li, Jungang; Lu, Guozhen; Zhu, Maochun 2 2021 Hörmander Fourier multiplier theorems with optimal regularity in bi-parameter Besov spaces. Zbl 1480.42017Chen, Jiao; Huang, Liang; Lu, Guozhen 1 2021 Maximizers for fractional Caffarelli-Kohn-Nirenberg and Trudinger-Moser inequalities on the fractional Sobolev spaces. Zbl 1465.35206Chen, Lu; Lu, Guozhen; Zhang, Caifeng 1 2021 Geometric Hardy’s inequalities with general distance functions. Zbl 1473.35014Lam, Nguyen; Lu, Guozhen; Zhang, Lu 15 2020 Sharp Adams and Hardy-Adams inequalities of any fractional order on hyperbolic spaces of all dimensions. Zbl 1451.46036Li, Jungang; Lu, Guozhen; Yang, Qiaohua 11 2020 Existence and nonexistence of extremals for critical Adams inequalities in \(\mathbb{R}^4\) and Trudinger-Moser inequalities in \(\mathbb{R}^2\). Zbl 1441.35121Chen, Lu; Lu, Guozhen; Zhu, Maochun 6 2020 Boundedness of multi-parameter pseudo-differential operators on multi-parameter local Hardy spaces. Zbl 1442.42054Chen, Jiao; Ding, Wei; Lu, Guozhen 5 2020 Boundedness of inhomogeneous Journé’s type operators on multi-parameter local Hardy spaces. Zbl 1440.42052Ding, Wei; Lu, Guozhen 4 2020 Stein-Weiss inequalities with the fractional Poisson kernel. Zbl 1459.35006Chen, Lu; Liu, Zhao; Lu, Guozhen; Tao, Chunxia 3 2020 Existence of solutions to fractional \(p\)-Laplacian systems with homogeneous nonlinearities of critical Sobolev growth. Zbl 1445.35306Lu, Guozhen; Shen, Yansheng 2 2020 Sharp Hardy-Trudinger-Moser inequalities in any \(N\)-dimensional hyperbolic spaces. Zbl 1462.46040Liang, Xining; Lu, Guozhen; Wang, Xumin; Yang, Qiaohua 2 2020 Ground states of bi-harmonic equations with critical exponential growth involving constant and trapping potentials. Zbl 1467.46033Chen, Lu; Lu, Guozhen; Zhu, Maochun 2 2020 Paneitz operators on hyperbolic spaces and high order Hardy-Sobolev-Maz’ya inequalities on half spaces. Zbl 1431.26013Lu, Guozhen; Yang, Qiaohua 26 2019 Factorizations and Hardy’s type identities and inequalities on upper half spaces. Zbl 1435.26015Lam, Nguyen; Lu, Guozhen; Zhang, Lu 18 2019 Existence and nonexistence of extremal functions for sharp Trudinger-Moser inequalities. Zbl 1421.35008Lam, Nguyen; Lu, Guozhen; Zhang, Lu 16 2019 A sharp Trudinger-Moser type inequality involving \(L^n\) norm in the entire space \(\mathbb{R}^n\). Zbl 1432.35081Lu, Guozhen; Zhu, Maochun 14 2019 Multi-parameter local Hardy spaces. Zbl 1418.42038Ding, Wei; Lu, Guozhen; Zhu, YuePing 13 2019 Sharp singular Trudinger-Moser inequalities under different norms. Zbl 1421.35007Lam, Nguyen; Lu, Guozhen; Zhang, Lu 10 2019 Discrete Littlewood-Paley-Stein characterization of multi-parameter local Hardy spaces. Zbl 1440.42104Ding, Wei; Lu, Guozhen; Zhu, Yueping 8 2019 Sharp weighted Trudinger-Moser-Adams inequalities on the whole space and the existence of their extremals. Zbl 1421.35099Chen, Lu; Lu, Guozhen; Zhang, Caifeng 6 2019 Existence of extremal functions for the Stein-Weiss inequalities on the Heisenberg group. Zbl 1429.26034Chen, Lu; Lu, Guozhen; Tao, Chunxia 6 2019 Hardy-Littlewood-Sobolev inequalities with the fractional Poisson kernel and their applications in PDEs. Zbl 1418.35008Chen, Lu; Lu, Guozhen; Tao, Chunxia 3 2019 Reverse Stein-Weiss inequalities on the upper half space and the existence of their extremals. Zbl 1422.42036Chen, Lu; Lu, Guozhen; Tao, Chunxia 3 2019 Sharp maximal estimates for multilinear commutators of multilinear strongly singular Calderón-Zygmund operators and applications. Zbl 1409.42011Lin, Yan; Lu, Guozhen; Lu, Shanzhen 3 2019 Fourier analysis and optimal Hardy-Adams inequalities on hyperbolic spaces of any even dimension. Zbl 1402.46025Li, Jungang; Lu, Guozhen; Yang, Qiaohua 28 2018 Sharp weighted Trudinger-Moser and Caffarelli-Kohn-Nirenberg inequalities and their extremal functions. Zbl 1397.46027Dong, Mengxia; Nguyen Lam; Lu, Guozhen 27 2018 Concentration-compactness principle for Trudinger-Moser inequalities on Heisenberg groups and existence of ground state solutions. Zbl 1402.46026Li, Jungang; Lu, Guozhen; Zhu, Maochun 26 2018 Sharpened Adams inequality and ground state solutions to the bi-Laplacian equation in \(\mathbb{R}^4\). Zbl 1397.35097Chen, Lu; Li, Jungang; Lu, Guozhen; Zhang, Caifeng 20 2018 \(L^{p}\) boundedness of rough bi-parameter Fourier integral operators. Zbl 1381.42024Hong, Qing; Lu, Guozhen; Zhang, Lu 15 2018 Weighted \(L^{p}\) estimates for rough bi-parameter Fourier integral operators. Zbl 1401.42013Hong, Qing; Lu, Guozhen 9 2018 Hörmander type theorem on bi-parameter Hardy spaces for bi-parameter Fourier multipliers with optimal smoothness. Zbl 1422.42023Chen, Jiao; Lu, Guozhen 8 2018 Reverse Stein-Weiss inequalities and existence of their extremal functions. Zbl 1418.42041Chen, Lu; Liu, Zhao; Lu, Guozhen; Tao, Chunxia 8 2018 Weighted Moser-Onofri-Beckner and logarithmic Sobolev inequalities. Zbl 1392.26029Lam, Nguyen; Lu, Guozhen 4 2018 Equivalence of critical and subcritical sharp Trudinger-Moser-Adams inequalities. Zbl 1387.46034Lam, Nguyen; Lu, Guozhen; Zhang, Lu 47 2017 Sharp Hardy-Adams inequalities for bi-Laplacian on hyperbolic space of dimension four. Zbl 1384.46026Lu, Guozhen; Yang, Qiaohua 34 2017 Sharp constants and optimizers for a class of Caffarelli-Kohn-Nirenberg inequalities. Zbl 1367.26035Lam, Nguyen; Lu, Guozhen 27 2017 Sharp affine and improved Moser-Trudinger-Adams type inequalities on unbounded domains in the spirit of Lions. Zbl 1372.46027Lam, Nguyen; Lu, Guozhen; Tang, Hanli 18 2017 Liouville type theorems for PDE and IE systems involving fractional Laplacian on a half space. Zbl 1364.35421Dai, Wei; Liu, Zhao; Lu, Guozhen 17 2017 \(\mathrm{L}^p\) estimates for a trilinear pseudo-differential operator with flag symbols. Zbl 1371.42012Lu, Guozhen; Zhang, Lu 7 2017 Hardy-Sobolev type integral systems with Dirichlet boundary conditions in a half space. Zbl 1369.45005Dai, Wei; Liu, Zhao; Lu, Guozhen 6 2017 Sharp Moser-Trudinger inequalities on hyperbolic spaces with exact growth condition. Zbl 1356.46031Lu, Guozhen; Tang, Hanli 32 2016 Best constants and existence of maximizers for weighted Trudinger-Moser inequalities. Zbl 1364.46026Dong, Mengxia; Lu, Guozhen 28 2016 A sharp Trudinger-Moser inequality on any bounded and convex planar domain. Zbl 1369.46029Lu, Guozhen; Yang, Qiaohua 24 2016 Sharp singular Trudinger-Moser inequalities in Lorentz-Sobolev spaces. Zbl 1359.46035Lu, Guozhen; Tang, Hanli 18 2016 Symmetry and regularity of solutions to the weighted Hardy-Sobolev type system. Zbl 1382.35326Chen, Lu; Liu, Zhao; Lu, Guozhen 13 2016 Duality of multi-parameter Triebel-Lizorkin spaces associated with the composition of two singular integral operators. Zbl 1338.42025Ding, Wei; Lu, Guozhen 13 2016 Boundedness of multi-parameter Fourier multiplier operators on Triebel-Lizorkin and Besov-Lipschitz spaces. Zbl 1333.42013Chen, Lu; Lu, Guozhen; Luo, Xiang 10 2016 Multi-parameter Triebel-Lizorkin spaces associated with the composition of two singular integrals and their atomic decomposition. Zbl 1335.42021Ding, Wei; Lu, Guozhen; Zhu, Yueping 7 2016 Bi-parameter and bilinear Calderón-Vaillancourt theorem with subcritical order. Zbl 1351.42028Lu, Guozhen; Zhang, Lu 6 2016 Polyharmonic equations with critical exponential growth in the whole space \(\mathbb{R}^{n}\). Zbl 1323.35046Lu, Guozhen; Lam, Nguyen; Bao, Jiguang 6 2016 Hardy space estimates for Littlewood-Paley-Stein square functions and Calderón-Zygmund operators. Zbl 1337.42019Hart, Jarod; Lu, Guozhen 4 2016 Hardy space estimates for bilinear square functions and Calderón-Zygmund operators. Zbl 1358.42012Hart, Jarod; Lu, Guozhen 1 2016 Best constants for Adams’ inequalities with the exact growth condition in \({\mathbb R}^n\). Zbl 1352.46034Lu, Guozhen; Tang, Hanli; Zhu, Maochun 20 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 1335.47033Dai, Wei; Lu, Guozhen 19 2015 The maximum principles and symmetry results for viscosity solutions of fully nonlinear equations. Zbl 1312.35033Lu, Guozhen; Zhu, Jiuyi 8 2015 Sharp singular Trudinger-Moser-Adams type inequalities with exact growth. Zbl 1338.35016Lam, Nguyen; Lu, Guozhen 6 2015 Poincaré and Sobolev inequalities for vector fields satisfying Hörmander’s condition in variable exponent Sobolev spaces. Zbl 1339.46033Li, Xia; Lu, Guo Zhen; Tang, Han Li 5 2015 Characterizations of second order Sobolev spaces. Zbl 1339.46030Cui, Xiaoyue; Lam, Nguyen; Lu, Guozhen 2 2015 \(L^p\) estimates for bilinear and multiparameter Hilbert transforms. Zbl 1329.42008Dai, Wei; Lu, Guozhen 1 2015 Elliptic equations and systems with subcritical and critical exponential growth without the Ambrosetti-Rabinowitz condition. Zbl 1305.35069Lam, Nguyen; Lu, Guozhen 51 2014 Sharp subcritical Moser-Trudinger inequalities on Heisenberg groups and subelliptic PDEs. Zbl 1282.35393Lam, Nguyen; Lu, Guozhen; Tang, Hanli 36 2014 Hörmander type theorems for multi-linear and multi-parameter Fourier multiplier operators with limited smoothness. Zbl 1286.42010Chen, Jiao; Lu, Guozhen 30 2014 Flag Hardy spaces and Marcinkiewicz multipliers on the Heisenberg group. Zbl 1318.42026Han, Yongsheng; Lu, Guozhen; Sawyer, Eric 29 2014 Multilinear Calderón-Zygmund operators with kernels of Dini’s type and applications. Zbl 1290.42039Lu, Guozhen; Zhang, Pu 24 2014 Duality theory of weighted Hardy spaces with arbitrary number of parameters. Zbl 1298.42025Lu, Guozhen; Ruan, Zhuoping 16 2014 Symbolic calculus and boundedness of multi-parameter and multi-linear pseudo-differential operators. Zbl 1321.47111Hong, Qing; Lu, Guozhen 14 2014 Boundedness of singular integrals in Journé’s class on weighted multiparameter Hardy spaces. Zbl 1302.42024Han, Yongsheng; Lu, Guozhen; Ruan, Zhuoping 9 2014 New characterizations of Sobolev spaces on the Heisenberg group. Zbl 1316.46033Cui, Xiaoyue; Lam, Nguyen; Lu, Guozhen 3 2014 A new approach to sharp Moser-Trudinger and Adams type inequalities: a rearrangement-free argument. Zbl 1294.46034Lam, Nguyen; Lu, Guozhen 83 2013 \(N\)-Laplacian equations in \(\mathbb R^N\) with subcritical and critical growth without the Ambrosetti-Rabinowitz condition. Zbl 1283.35049Lam, Nguyen; Lu, Guozhen 32 2013 Best constants for Moser-Trudinger inequalities on high dimensional hyperbolic spaces. Zbl 1294.46035Lu, Guozhen; Tang, Hanli 31 2013 Multiparameter Hardy space theory on Carnot-Carathéodory spaces and product spaces of homogeneous type. Zbl 1275.42035Han, Yongsheng; Li, Ji; Lu, Guozhen 22 2013 Boundedness criterion of Journé’s class of singular integrals on multiparameter Hardy spaces. Zbl 1268.42024Han, Yongsheng; Lu, Guozhen; Ruan, Zhuoping 17 2013 Hardy spaces associated with different homogeneities and boundedness of composition operators. Zbl 1291.42018Han, Yongsheng; Lin, Chincheng; Lu, Guozhen; Ruan, Zhuoping; Sawyer, Eric T. 15 2013 Singular integrals and weighted Triebel-Lizorkin and Besov spaces of arbitrary number of parameters. Zbl 1261.42030Lu, Guo Zhen; Zhu, Yue Ping 11 2013 Characterizations of Sobolev spaces in Euclidean spaces and Heisenberg groups. Zbl 1299.46032Cui, Xiaoyue; Lam, Nguyen; Lu, Guozhen 6 2013 Liouville-type theorems for fully nonlinear elliptic equations and systems in half spaces. Zbl 1298.35021Lu, Guozhen; Zhu, Jiuyi 3 2013 Existence and multiplicity of solutions to equations of \(N\)-Laplacian type with critical exponential growth in \(\mathbb R^N\). Zbl 1236.35050Lam, Nguyen; Lu, Guozhen 84 2012 Sharp Moser-Trudinger inequality on the Heisenberg group at the critical case and applications. Zbl 1278.42033Lam, Nguyen; Lu, Guozhen 68 2012 An overdetermined problem in Riesz-potential and fractional Laplacian. Zbl 1236.31004Lu, Guozhen; Zhu, Jiuyi 33 2012 Sharp Adams type inequalities in Sobolev spaces \(W^{m,\frac{n}{m}}(\mathbb R^n)\) for arbitrary integer \(m\). Zbl 1259.46029Lam, Nguyen; Lu, Guozhen 25 2012 Characterization of balls in terms of Bessel-potential integral equation. Zbl 1229.31005Han, Xiaolong; Lu, Guozhen; Zhu, Jiuyi 25 2012 Sharp singular Adams inequalities in high order Sobolev spaces. Zbl 1319.46027Nguyen Lam; Lu, Guozhen 24 2012 On nonuniformly subelliptic equations of \(Q\)-sub-Laplacian type with critical growth in the Heisenberg group. Zbl 1282.35139Lam, Nguyen; Lu, Guozhen; Tang, Hanli 22 2012 Boundedness of singular integrals on multiparameter weighted Hardy spaces \(H^p_w(\mathbb R^n \times \mathbb R^m)\). Zbl 1271.42017Ding, Yong; Han, Yongsheng; Lu, Guozhen; Wu, Xinfeng 21 2012 Existence of nontrivial solutions to polyharmonic equations with subcritical and critical exponential growth. Zbl 1245.35064Lam, Nguyen; Lu, Guozhen 19 2012 Hardy-Littlewood-Sobolev and Stein-Weiss inequalities and integral systems on the Heisenberg group. Zbl 1309.42032Han, Xiaolong; Lu, Guozhen; Zhu, Jiuyi 16 2012 The Moser-Trudinger inequality in unbounded domains of Heisenberg group and sub-elliptic equations. Zbl 1254.35063Cohn, William S.; Lam, Nguyen; Lu, Guozhen; Yang, Yunyan 14 2012 The Moser-Trudinger and Adams inequalities and elliptic and subelliptic equations with nonlinearity of exponential growth. Zbl 1317.35018Lam, Nguyen; Lu, Guozhen 13 2012 Bounds of singular integrals on weighted Hardy spaces and discrete Littlewood-Paley analysis. Zbl 1408.42009Lu, Guozhen; Zhu, Yueping 11 2012 Liouville-type theorems and decay estimates for solutions to higher order elliptic equations. Zbl 1255.35064Lu, Guozhen; Wang, Peiyong; Zhu, Jiuyi 9 2012 Atomic decomposition and boundedness criterion of operators on multi-parameter Hardy spaces of homogeneous type. Zbl 1258.42021Lu, Guo Zhen; Xiao, Ya Yuan 4 2012 Dual spaces of weighted multi-parameter Hardy spaces associated with the Zygmund dilation. Zbl 1275.42031Han, Xiaolong; Lu, Guozhen; Xiao, Yayuan 4 2012 On regularity of solutions to an integral system associated with Bessel potentials. Zbl 1245.45002Han, Xiaolong; Lu, Guozhen 2 2012 Hardy spaces associated to non-negative self-adjoint operators satisfying Davies-Gaffney estimates. Zbl 1232.42018Hofmann, Steve; Lu, Guozhen; Mitrea, Dorina; Mitrea, Marius; Yan, Lixin 151 2011 ...and 68 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,132 Authors 107 Lu, Guozhen 41 Yang, Dachun 36 Lam, Nguyen 29 Li, Ji 28 Duong, Xuan Thinh 25 Niu, Pengcheng 24 Yang, Qiaohua 21 Chen, Lu 21 Nguyễn Văn Hoàng 21 Yan, Lixin 20 The Anh Bui 19 Franchi, Bruno 18 Yang, Yunyan 17 Zhu, Maochun 16 Do Ó, João M. Bezerra 16 Song, Liang 15 Wang, Jialin 15 Wu, Xinfeng 14 Han, Yongsheng 14 Yang, Sibei 13 Chen, Wenxiong 13 Nguyen Tuan Duy 12 Manfredi, Juan J. 11 Bonfiglioli, Andrea 11 de Souza, Manassés 11 Ding, Wei 11 Guliyev, Vagif Sabir 10 Chen, Jiao 10 Dai, Wei 10 Lanconelli, Ermanno 10 Liao, Dongni 10 Tang, Hanli 10 Wheeden, Richard Lee 10 Yang, Minbo 9 Cao, Jun 9 Chang, Der-Chen E. 9 Li, Congming 9 Li, Pengtao 9 Liu, Yu 9 Uguzzoni, Francesco 8 Aouaoui, Sami 8 Chua, Seng-Kee 8 Dou, Jingbo 8 Garofalo, Nicola 8 Sani, Federica 8 Yang, Zuodong 8 Zhang, Lu 8 Zhu, Jiuyi 8 Zhu, Yueping 7 Baldi, Annalisa 7 Capogna, Luca 7 Chen, Peng 7 Dziubański, Jacek 7 Ferrari, Fausto 7 Han, Yanchang 7 Huang, Jizheng 7 Huang, Liang 7 Li, Jungang 7 Lin, Yan 7 Mohammed, Ahmed 7 Morbidelli, Daniele 7 Rossi, Julio Daniel 7 Ruzhansky, Michael V. 7 Tan, Chaoqiang 7 Wang, Xumin 7 Wu, Leyun 7 Yang, Dongyong 7 Yang, Xiaoping 7 Zhang, Caifeng 7 Zhang, Mengjie 7 Zhao, Jiman 7 Zhu, Xiaobao 6 Crasta, Graziano 6 Di Fazio, Giuseppe 6 Du, Guangwei 6 Fragalà, Ilaria 6 Fu, Zunwei 6 Gong, Ruming 6 Han, Yazhou 6 He, Shaoyong 6 Liu, Suying 6 Liu, Zongguang 6 Lu, Shanzhen 6 Montanari, Annamaria 6 Pérez, Carlos 6 Phi, Le Long 6 Sreenadh, Konijeti 6 Tao, Chunxia 6 Vodop’yanov, Sergeĭ Konstantinovich 6 Wang, Peiyong 6 Wick, Brett D. 6 Xue, Qingying 6 Yuan, Wen 6 Zamboni, Pietro 5 Balogh, Zoltán M. 5 Bieske, Thomas J. 5 Chen, Jiecheng 5 Citti, Giovanna 5 Dragoni, Federica 5 Fanciullo, Maria Stella ...and 1,032 more Authors all top 5 Cited in 196 Serials 112 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 70 Journal of Mathematical Analysis and Applications 50 Journal of Functional Analysis 45 The Journal of Geometric Analysis 40 Acta Mathematica Sinica. English Series 39 Calculus of Variations and Partial Differential Equations 37 Journal of Differential Equations 37 Proceedings of the American Mathematical Society 32 Transactions of the American Mathematical Society 31 Advanced Nonlinear Studies 30 Communications on Pure and Applied Analysis 29 Potential Analysis 27 Advances in Mathematics 23 Journal of Inequalities and Applications 19 Mathematische Annalen 19 Forum Mathematicum 19 Science China. Mathematics 18 Discrete and Continuous Dynamical Systems 15 Annali di Matematica Pura ed Applicata. Serie Quarta 15 Communications in Contemporary Mathematics 14 The Journal of Fourier Analysis and Applications 14 Boundary Value Problems 14 Complex Variables and Elliptic Equations 13 Mathematische Zeitschrift 13 Communications in Partial Differential Equations 13 Journal of Function Spaces 11 Manuscripta Mathematica 11 Revista Matemática Iberoamericana 11 NoDEA. Nonlinear Differential Equations and Applications 9 Applicable Analysis 9 Mathematische Nachrichten 9 Applied Mathematics Letters 9 Abstract and Applied Analysis 9 Revista Matemática Complutense 9 Banach Journal of Mathematical Analysis 8 Siberian Mathematical Journal 8 International Journal of Mathematics 8 Mathematical Inequalities & Applications 8 Advances in Nonlinear Analysis 7 Pacific Journal of Mathematics 7 Journal de Mathématiques Pures et Appliquées. Neuvième Série 7 Advances in Calculus of Variations 7 Journal of Pseudo-Differential Operators and Applications 7 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 6 Journal d’Analyse Mathématique 6 Mathematical Notes 6 Archiv der Mathematik 6 Czechoslovak Mathematical Journal 6 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 6 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 6 Mediterranean Journal of Mathematics 6 Frontiers of Mathematics in China 6 Journal of Mathematical Inequalities 5 Journal of Mathematical Physics 5 Mathematical Methods in the Applied Sciences 5 Studia Mathematica 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Annales de l’Institut Fourier 5 Memoirs of the American Mathematical Society 5 Electronic Journal of Differential Equations (EJDE) 5 Annales Academiae Scientiarum Fennicae. Mathematica 5 Taiwanese Journal of Mathematics 5 Journal of Function Spaces and Applications 5 Analysis and Mathematical Physics 4 Rocky Mountain Journal of Mathematics 4 Journal of Approximation Theory 4 Journal of the Korean Mathematical Society 4 Journal of the Mathematical Society of Japan 4 Annals of Global Analysis and Geometry 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 4 Applied Mathematics. Series B (English Edition) 4 Journal of Evolution Equations 4 Journal of the Australian Mathematical Society 3 Indian Journal of Pure & Applied Mathematics 3 Duke Mathematical Journal 3 Integral Equations and Operator Theory 3 Monatshefte für Mathematik 3 Zeitschrift für Analysis und ihre Anwendungen 3 Acta Applicandae Mathematicae 3 Acta Mathematicae Applicatae Sinica. English Series 3 SIAM Journal on Mathematical Analysis 3 St. Petersburg Mathematical Journal 3 Bulletin des Sciences Mathématiques 3 Communications in Nonlinear Science and Numerical Simulation 3 Nonlinear Analysis. Real World Applications 3 Analysis in Theory and Applications 3 Bulletin of Mathematical Sciences 3 Analysis and Geometry in Metric Spaces 2 Analysis Mathematica 2 Computers & Mathematics with Applications 2 Communications on Pure and Applied Mathematics 2 Nonlinearity 2 Mathematics of Computation 2 Canadian Journal of Mathematics 2 Indiana University Mathematics Journal 2 Journal of Computational and Applied Mathematics 2 Mathematica Slovaca 2 Nagoya Mathematical Journal 2 Rendiconti del Seminario Matematico della Università di Padova ...and 96 more Serials all top 5 Cited in 42 Fields 747 Partial differential equations (35-XX) 399 Harmonic analysis on Euclidean spaces (42-XX) 339 Functional analysis (46-XX) 168 Real functions (26-XX) 123 Operator theory (47-XX) 90 Abstract harmonic analysis (43-XX) 73 Global analysis, analysis on manifolds (58-XX) 62 Differential geometry (53-XX) 56 Calculus of variations and optimal control; optimization (49-XX) 53 Topological groups, Lie groups (22-XX) 46 Integral equations (45-XX) 45 Potential theory (31-XX) 36 Functions of a complex variable (30-XX) 18 Several complex variables and analytic spaces (32-XX) 14 Convex and discrete geometry (52-XX) 10 Measure and integration (28-XX) 10 Ordinary differential equations (34-XX) 10 Numerical analysis (65-XX) 9 Probability theory and stochastic processes (60-XX) 6 Special functions (33-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Approximations and expansions (41-XX) 5 Fluid mechanics (76-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Quantum theory (81-XX) 4 Information and communication theory, circuits (94-XX) 3 Combinatorics (05-XX) 3 Difference and functional equations (39-XX) 3 Manifolds and cell complexes (57-XX) 3 Biology and other natural sciences (92-XX) 2 Nonassociative rings and algebras (17-XX) 2 Group theory and generalizations (20-XX) 2 Integral transforms, operational calculus (44-XX) 2 Computer science (68-XX) 2 Mechanics of particles and systems (70-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Mechanics of deformable solids (74-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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