Edit Profile Lu, Guozhen Compute Distance To: Compute Author ID: lu.guozhen Published as: Lu, G.; Lu, Guo Zhen; Lu, Guozhen Homepage: https://www2.math.uconn.edu/~guozhenlu/ External Links: MGP · Wikidata · GND Documents Indexed: 172 Publications since 1991, including 4 Books all top 5 Co-Authors 16 single-authored 26 Lam, Nguyen 13 Chen, Lu 10 Han, Yongsheng 9 Wheeden, Richard Lee 9 Zhang, Lu 8 Tang, Hanli 8 Wang, Peiyong 8 Zhu, Jiuyi 7 Cohn, William S. 6 Dai, Wei 6 Ding, Wei 6 Franchi, Bruno 6 Han, Xiaolong 6 Yang, Qiaohua 5 Tao, Chunxia 5 Zhu, Maochun 5 Zhu, Yueping 4 Chen, Jiao 4 Li, Jun-Gang 4 Lu, Shanzhen 4 Ruan, Zhuoping 4 Wei, Juncheng 4 Yang, Yunyan 3 Cui, Xiaoyue 3 Hong, Qing 3 Li, Ji 3 Liu, Yongping 3 Liu, Zhao 3 Liu, Zhao 3 Sawyer, Eric T. 3 Zhang, Caifeng 2 Buckley, Stephen M. 2 Chen, Shaohua 2 Ding, Yong 2 Dong, Mengxia 2 Dong, Yuxin 2 Hart, Jarod V. 2 Koskela, Pekka 2 Manfredi, Juan J. 2 Pérez, Carlos E. 2 Stroffolini, Bianca 2 Xiao, Yayuan 1 Ambrosetti, Antonio 1 Baldi, Annalisa 1 Bao, Jiguang 1 Chanillo, Sagun 1 Chen, Xinfu 1 D’Ambrosio, Lorenzo 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 Li, Xiaochun 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 Ou, Biao 1 Rabinowitz, Paul Henry 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 15 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 14 Advanced Nonlinear Studies 10 Acta Mathematica Sinica. English Series 9 Forum Mathematicum 9 Calculus of Variations and Partial Differential Equations 8 Revista Matemática Iberoamericana 8 The Journal of Geometric Analysis 7 Advances in Mathematics 7 Journal of Differential Equations 7 Journal of Functional Analysis 4 Indiana University Mathematics Journal 4 Transactions of the American Mathematical Society 4 Publicacions Matemàtiques 4 Potential Analysis 4 Communications on Pure and Applied Analysis 3 Communications in Partial Differential Equations 3 Discrete and Continuous Dynamical Systems 3 Mathematical Sciences Research Hot-Line 2 American Journal of Mathematics 2 Proceedings of the American Mathematical Society 2 Differential and Integral Equations 2 Mathematical Research Letters 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 Mathematische Zeitschrift 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 Nonlinear Analysis. Theory, Methods & Applications 1 Applied and Numerical Harmonic Analysis all top 5 Fields 94 Partial differential equations (35-XX) 69 Functional analysis (46-XX) 66 Harmonic analysis on Euclidean spaces (42-XX) 25 Real functions (26-XX) 18 Topological groups, Lie groups (22-XX) 12 Integral equations (45-XX) 9 Abstract harmonic analysis (43-XX) 8 Potential theory (31-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Approximations and expansions (41-XX) 7 Operator theory (47-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 General and overarching topics; collections (00-XX) 4 Differential geometry (53-XX) 2 Functions of a complex variable (30-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Fluid mechanics (76-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 156 Publications have been cited 2,457 times in 1,091 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 131 2011 Weighted Poincaré and Sobolev inequalities for vector fields satisfying Hörmander’s condition and applications. Zbl 0804.35015Lu, Guozhen 82 1992 A new approach to sharp Moser-Trudinger and Adams type inequalities: a rearrangement-free argument. Zbl 1294.46034Lam, Nguyen; Lu, Guozhen 68 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 68 2012 Best constants for Moser-Trudinger inequalities on the Heisenberg group. Zbl 1019.43009Cohn, William S.; Lu, Guozhen 68 2001 Sharp Moser-Trudinger inequality on the Heisenberg group at the critical case and applications. Zbl 1278.42033Lam, Nguyen; Lu, Guozhen 54 2012 Representation formulas and weighted Poincaré inequalities for Hörmander vector fields. Zbl 0820.46026Franchi, Bruno; Lu, Guozhen; Wheeden, Richard L. 53 1995 The sharp Poincaré inequality for free vector fields: An endpoint result. Zbl 0860.35006Lu, Guozhen 53 1994 Symmetry and regularity of extremals of an integral equation related to the Hardy-Sobolev inequality. Zbl 1231.35290Lu, Guozhen; Zhu, Jiuyi 47 2011 Inhomogeneous infinity Laplace equation. Zbl 1152.35042Lu, Guozhen; Wang, Peiyong 47 2008 Elliptic equations and systems with subcritical and critical exponential growth without the Ambrosetti-Rabinowitz condition. Zbl 1305.35069Lam, Nguyen; Lu, Guozhen 46 2014 Convex functions on the Heisenberg group. Zbl 1072.49019Lu, Guozhen; Manfredi, Juan J.; Stroffolini, Bianca 45 2004 A relationship between Poincaré-type inequalities and representation formulas in spaces of homogeneous type. Zbl 0856.43006Franchi, Bruno; Lu, Guozhen; Wheeden, Richard L. 43 1996 Sharp constant and extremal function for the improved Moser-Trudinger inequality involving \(L^p\) norm in two dimension. Zbl 1182.35093Lu, Guozhen; Yang, Yunyan 39 2009 Equivalence of critical and subcritical sharp Trudinger-Moser-Adams inequalities. Zbl 1387.46034Lam, Nguyen; Lu, Guozhen; Zhang, Lu 37 2017 A PDE perspective of the normalized infinity Laplacian. Zbl 1157.35388Lu, Guozhen; Wang, Peiyong 36 2008 Adams’ inequalities for bi-Laplacian and extremal functions in dimension four. Zbl 1172.46021Lu, Guozhen; Yang, Yunyan 33 2009 Embedding theorems into Lipschitz and BMO spaces and applications to quasilinear subelliptic differential equations. Zbl 0873.35006Lu, Guozhen 31 1996 Sharp constants for Moser-Trudinger inequalities on spheres in complex space \(\mathbb C^n\). Zbl 1063.35060Cohn, William S.; Lu, Guozhen 29 2004 Sharp subcritical Moser-Trudinger inequalities on Heisenberg groups and subelliptic PDEs. Zbl 1282.35393Lam, Nguyen; Lu, Guozhen; Tang, Hanli 28 2014 An overdetermined problem in Riesz-potential and fractional Laplacian. Zbl 1236.31004Lu, Guozhen; Zhu, Jiuyi 28 2012 Sharp Moser-Trudinger inequalities on hyperbolic spaces with exact growth condition. Zbl 1356.46031Lu, Guozhen; Tang, Hanli 26 2016 \(N\)-Laplacian equations in \(\mathbb R^N\) with subcritical and critical growth without the Ambrosetti-Rabinowitz condition. Zbl 1283.35049Lam, Nguyen; Lu, Guozhen 26 2013 Sharp Hardy-Adams inequalities for bi-Laplacian on hyperbolic space of dimension four. Zbl 1384.46026Lu, Guozhen; Yang, Qiaohua 25 2017 Hörmander type theorems for multi-linear and multi-parameter Fourier multiplier operators with limited smoothness. Zbl 1286.42010Chen, Jiao; Lu, Guozhen 25 2014 Best constants for Moser-Trudinger inequalities on high dimensional hyperbolic spaces. Zbl 1294.46035Lu, Guozhen; Tang, Hanli 25 2013 Best constants and existence of maximizers for weighted Trudinger-Moser inequalities. Zbl 1364.46026Dong, Mengxia; Lu, Guozhen 23 2016 Flag Hardy spaces and Marcinkiewicz multipliers on the Heisenberg group. Zbl 1318.42026Han, Yongsheng; Lu, Guozhen; Sawyer, Eric 23 2014 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 23 2002 Sharp weighted Trudinger-Moser and Caffarelli-Kohn-Nirenberg inequalities and their extremal functions. Zbl 1397.46027Dong, Mengxia; Nguyen Lam; Lu, Guozhen 22 2018 Sharp constants and optimizers for a class of Caffarelli-Kohn-Nirenberg inequalities. Zbl 1367.26035Lam, Nguyen; Lu, Guozhen 22 2017 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 22 2012 Sharp singular Adams inequalities in high order Sobolev spaces. Zbl 1319.46027Nguyen Lam; Lu, Guozhen 21 2012 Polynomials, higher order Sobolev extension theorems and interpolation inequalities on weighted Folland-Stein spaces on stratified groups. Zbl 0973.46020Lu, Guozhen 21 2000 Fourier analysis and optimal Hardy-Adams inequalities on hyperbolic spaces of any even dimension. Zbl 1402.46025Li, Jungang; Lu, Guozhen; Yang, Qiaohua 20 2018 Characterization of balls in terms of Bessel-potential integral equation. Zbl 1229.31005Han, Xiaolong; Lu, Guozhen; Zhu, Jiuyi 20 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. 20 2002 Existence and nonexistence of positive radial solutions for a class of semilinear elliptic systems. Zbl 0934.34011Chen, Shaohua; Lu, Guozhen 20 1999 Existence of nontrivial solutions to polyharmonic equations with subcritical and critical exponential growth. Zbl 1245.35064Lam, Nguyen; Lu, Guozhen 19 2012 Discrete Calderón’s identity, atomic decomposition and boundedness criterion of operators on multiparameter Hardy spaces. Zbl 1193.42090Han, Y.; Lu, G.; Zhao, K. 19 2010 Convex functions on Carnot groups. Zbl 1124.49024Juutinen, Petri; Lu, Guozhen; Manfredi, Juan J.; Stroffolini, Bianca 19 2007 Concentration-compactness principle for Trudinger-Moser inequalities on Heisenberg groups and existence of ground state solutions. Zbl 1402.46026Li, Jungang; Lu, Guozhen; Zhu, Maochun 18 2018 A sharp Trudinger-Moser inequality on any bounded and convex planar domain. Zbl 1369.46029Lu, Guozhen; Yang, Qiaohua 18 2016 Multiparameter Hardy space theory on Carnot-Carathéodory spaces and product spaces of homogeneous type. Zbl 1275.42035Han, Yongsheng; Li, Ji; Lu, Guozhen 18 2013 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 18 2012 Axial symmetry and regularity of solutions to an integral equation in a half-space. Zbl 1239.45005Lu, Guozhen; Zhu, Jiuyi 18 2011 Duality of multiparameter Hardy spaces \(H^{p}\) on spaces of homogeneous type. Zbl 1213.42073Han, Yongsheng; Li, Ji; Lu, Guozhen 18 2010 Infinity Laplace equation with non-trivial right-hand side. Zbl 1194.35194Lu, Guozhen; Wang, Peiyong 18 2010 On nonuniformly subelliptic equations of \(Q\)-sub-Laplacian type with critical growth in the Heisenberg group. Zbl 1282.35139Lam, Nguyen; Lu, Guozhen; Tang, Hanli 17 2012 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 16 2017 Sharp singular Trudinger-Moser inequalities in Lorentz-Sobolev spaces. Zbl 1359.46035Lu, Guozhen; Tang, Hanli 16 2016 Best constants for Adams’ inequalities with the exact growth condition in \({\mathbb R}^n\). Zbl 1352.46034Lu, Guozhen; Tang, Hanli; Zhu, Maochun 16 2015 \(L^p\) estimates for multi-linear and multi-parameter pseudo-differential operators. Zbl 1335.47033Dai, Wei; Lu, Guozhen 16 2015 Multilinear Calderón-Zygmund operators with kernels of Dini’s type and applications. Zbl 1290.42039Lu, Guozhen; Zhang, Pu 16 2014 Multi-parameter Triebel-Lizorkin and Besov spaces associated with flag singular integrals. Zbl 1192.42014Ding, Yong; Lu, Guo Zhen; Ma, Bo Lin 16 2010 Boman equals John. Zbl 0861.43007Buckley, S.; Koskela, P.; Lu, Guozhen 16 1996 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 Hardy-Littlewood-Sobolev and Stein-Weiss inequalities and integral systems on the Heisenberg group. Zbl 1309.42032Han, Xiaolong; Lu, Guozhen; Zhu, Jiuyi 15 2012 Some recent works on multiparameter Hardy space theory and discrete Littlewood-Paley analysis. Zbl 1201.42016Han, Yongsheng; Lu, Guozhen 15 2010 Singular integrals and commutators on homogeneous groups. Zbl 1026.43007Lu, Guozhen; Lu, Shanzhen; Yang, Dachun 15 2002 Embedding theorems on Campanato-Morrey spaces for vector fields of Hörmander type. Zbl 0916.46026Lu, Guozhen 15 1998 Local and global interpolation inequalities on the Folland-Stein Sobolev spaces and polynomials on stratified groups. Zbl 0910.26007Lu, Guozhen 15 1997 A Fefferman-Phong type inequality for degenerate vector fields and applications. Zbl 0878.35050Lu, Guozhen 15 1996 Paneitz operators on hyperbolic spaces and high order Hardy-Sobolev-Maz’ya inequalities on half spaces. Zbl 1431.26013Lu, Guozhen; Yang, Qiaohua 14 2019 High order representation formulas and embedding theorems on stratified groups and generalizations. Zbl 0974.46039Lu, Guozhen; Wheeden, Richard L. 14 2000 On Harnack’s inequality for a class of strongly degenerate Schrödinger operators formed by vector fields. Zbl 0827.35032Lu, Guozhen 14 1994 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 13 2018 Symbolic calculus and boundedness of multi-parameter and multi-linear pseudo-differential operators. Zbl 1321.47111Hong, Qing; Lu, Guozhen 13 2014 Duality theory of weighted Hardy spaces with arbitrary number of parameters. Zbl 1298.42025Lu, Guozhen; Ruan, Zhuoping 13 2014 Hardy spaces associated with different homogeneities and boundedness of composition operators. Zbl 1291.42018Han, Yongsheng; Lin, Chincheng; Lu, Guozhen; Ruan, Zhuoping; Sawyer, Eric T. 13 2013 Boundedness criterion of Journé’s class of singular integrals on multiparameter Hardy spaces. Zbl 1268.42024Han, Yongsheng; Lu, Guozhen; Ruan, Zhuoping 13 2013 An optimal representation formula for Carnot-Carathéodory vector fields. Zbl 0931.31003Lu, Guozhen; Wheeden, Richard L. 13 1998 Embedding theorems on Campanato-Morrey spaces for vector fields and applications. Zbl 0842.46019Lu, Guozhen 13 1995 Existence and size estimates for the Green’s functions of differential operators constructed from degenerate vector fields. Zbl 0798.35002Lu, Guozhen 13 1992 Existence and nonexistence of extremal functions for sharp Trudinger-Moser inequalities. Zbl 1421.35008Lam, Nguyen; Lu, Guozhen; Zhang, Lu 12 2019 \(L^{p}\) boundedness of rough bi-parameter Fourier integral operators. Zbl 1381.42024Hong, Qing; Lu, Guozhen; Zhang, Lu 12 2018 Liouville type theorems for PDE and IE systems involving fractional Laplacian on a half space. Zbl 1364.35421Dai, Wei; Liu, Zhao; Lu, Guozhen 12 2017 The Moser-Trudinger and Adams inequalities and elliptic and subelliptic equations with nonlinearity of exponential growth. Zbl 1317.35018Lam, Nguyen; Lu, Guozhen 12 2012 Sub-elliptic global high order Poincaré inequalities in stratified Lie groups and applications. Zbl 1129.22007Cohn, William S.; Lu, Guozhen; Wang, Peiyong 12 2007 Simultaneous representation and approximation formulas and high-order Sobolev embedded theorems on stratified groups. Zbl 1070.46024Lu, Guozhen; Wheeden, Richard L. 12 2004 On positive entire solutions to the Yamabe-type problem on the Heisenberg and stratified groups. Zbl 0887.35052Lu, Guozhen; Wei, Juncheng 12 1997 Duality of multi-parameter Triebel-Lizorkin spaces associated with the composition of two singular integral operators. Zbl 1338.42025Ding, Wei; Lu, Guozhen 11 2016 Bounds of singular integrals on weighted Hardy spaces and discrete Littlewood-Paley analysis. Zbl 1408.42009Lu, Guozhen; Zhu, Yueping 11 2012 Regularity of solutions to an integral equation associated with Bessel potential. Zbl 1237.45002Han, Xiaolong; Lu, Guozhen 11 2011 A sharpened Moser-Pohozaev-Trudinger inequality with mean value zero in \(\mathbb R^2\). Zbl 1179.58010Lu, Guozhen; Yang, Yunyan 11 2009 A sharp Trudinger-Moser type inequality involving \(L^n\) norm in the entire space \(\mathbb{R}^n\). Zbl 1432.35081Lu, Guozhen; Zhu, Maochun 10 2019 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 10 2012 On a Sobolev inequality with remainder terms. Zbl 0961.35100Lu, Guozhen; Wei, Juncheng 10 2000 Multi-parameter local Hardy spaces. Zbl 1418.42038Ding, Wei; Lu, Guozhen; Zhu, YuePing 9 2019 Singular integrals and weighted Triebel-Lizorkin and Besov spaces of arbitrary number of parameters. Zbl 1261.42030Lu, Guo Zhen; Zhu, Yue Ping 9 2013 Factorizations and Hardy’s type identities and inequalities on upper half spaces. Zbl 1435.26015Lam, Nguyen; Lu, Guozhen; Zhang, Lu 8 2019 Symmetry and regularity of solutions to the weighted Hardy-Sobolev type system. Zbl 1382.35326Chen, Lu; Liu, Zhao; Lu, Guozhen 8 2016 Boundedness of multi-parameter Fourier multiplier operators on Triebel-Lizorkin and Besov-Lipschitz spaces. Zbl 1333.42013Chen, Lu; Lu, Guozhen; Luo, Xiang 8 2016 Boundedness of singular integrals in Journé’s class on weighted multiparameter Hardy spaces. Zbl 1302.42024Han, Yongsheng; Lu, Guozhen; Ruan, Zhuoping 8 2014 Liouville-type theorems and decay estimates for solutions to higher order elliptic equations. Zbl 1255.35064Lu, Guozhen; Wang, Peiyong; Zhu, Jiuyi 8 2012 \(H^p\to H^p\) boundedness implies \(H^p\to L^p\) boundedness. Zbl 1225.42014Han, Yongsheng; Li, Ji; Lu, Guozhen; Wang, Peiyong 8 2011 A uniqueness theorem for degenerate elliptic equations. Zbl 1187.35109Lu, Guozhen; Wang, Peiyong 8 2008 On nonlinear Schrödinger equations with totally degenerate potentials. Zbl 0911.35047Lu, Guozhen; Wei, Juncheng 8 1998 Weighted \(L^{p}\) estimates for rough bi-parameter Fourier integral operators. Zbl 1401.42013Hong, Qing; Lu, Guozhen 7 2018 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 Geometric Hardy’s inequalities with general distance functions. Zbl 07235744Lam, Nguyen; Lu, Guozhen; Zhang, Lu 5 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 5 2020 Boundedness of multi-parameter pseudo-differential operators on multi-parameter local Hardy spaces. Zbl 1442.42054Chen, Jiao; Ding, Wei; Lu, Guozhen 1 2020 Boundedness of inhomogeneous Journé’s type operators on multi-parameter local Hardy spaces. Zbl 1440.42052Ding, Wei; Lu, Guozhen 1 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 1 2020 Paneitz operators on hyperbolic spaces and high order Hardy-Sobolev-Maz’ya inequalities on half spaces. Zbl 1431.26013Lu, Guozhen; Yang, Qiaohua 14 2019 Existence and nonexistence of extremal functions for sharp Trudinger-Moser inequalities. Zbl 1421.35008Lam, Nguyen; Lu, Guozhen; Zhang, Lu 12 2019 A sharp Trudinger-Moser type inequality involving \(L^n\) norm in the entire space \(\mathbb{R}^n\). Zbl 1432.35081Lu, Guozhen; Zhu, Maochun 10 2019 Multi-parameter local Hardy spaces. Zbl 1418.42038Ding, Wei; Lu, Guozhen; Zhu, YuePing 9 2019 Factorizations and Hardy’s type identities and inequalities on upper half spaces. Zbl 1435.26015Lam, Nguyen; Lu, Guozhen; Zhang, Lu 8 2019 Sharp singular Trudinger-Moser inequalities under different norms. Zbl 1421.35007Lam, Nguyen; Lu, Guozhen; Zhang, Lu 6 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 5 2019 Discrete Littlewood-Paley-Stein characterization of multi-parameter local Hardy spaces. Zbl 1440.42104Ding, Wei; Lu, Guozhen; Zhu, Yueping 4 2019 Existence of extremal functions for the Stein-Weiss inequalities on the Heisenberg group. Zbl 1429.26034Chen, Lu; Lu, Guozhen; Tao, Chunxia 4 2019 Hardy-Littlewood-Sobolev inequalities with the fractional Poisson kernel and their applications in PDEs. Zbl 1418.35008Chen, Lu; Lu, Guozhen; Tao, Chunxia 2 2019 Reverse Stein-Weiss inequalities on the upper half space and the existence of their extremals. Zbl 1422.42036Chen, Lu; Lu, Guozhen; Tao, Chunxia 1 2019 Sharp maximal estimates for multilinear commutators of multilinear strongly singular Calderón-Zygmund operators and applications. Zbl 1409.42011Lin, Yan; Lu, Guozhen; Lu, Shanzhen 1 2019 Sharp weighted Trudinger-Moser and Caffarelli-Kohn-Nirenberg inequalities and their extremal functions. Zbl 1397.46027Dong, Mengxia; Nguyen Lam; Lu, Guozhen 22 2018 Fourier analysis and optimal Hardy-Adams inequalities on hyperbolic spaces of any even dimension. Zbl 1402.46025Li, Jungang; Lu, Guozhen; Yang, Qiaohua 20 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 18 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 13 2018 \(L^{p}\) boundedness of rough bi-parameter Fourier integral operators. Zbl 1381.42024Hong, Qing; Lu, Guozhen; Zhang, Lu 12 2018 Weighted \(L^{p}\) estimates for rough bi-parameter Fourier integral operators. Zbl 1401.42013Hong, Qing; Lu, Guozhen 7 2018 Hörmander type theorem on bi-parameter Hardy spaces for bi-parameter Fourier multipliers with optimal smoothness. Zbl 1422.42023Chen, Jiao; Lu, Guozhen 6 2018 Reverse Stein-Weiss inequalities and existence of their extremal functions. Zbl 1418.42041Chen, Lu; Liu, Zhao; Lu, Guozhen; Tao, Chunxia 5 2018 Weighted Moser-Onofri-Beckner and logarithmic Sobolev inequalities. Zbl 1392.26029Lam, Nguyen; Lu, Guozhen 3 2018 Equivalence of critical and subcritical sharp Trudinger-Moser-Adams inequalities. Zbl 1387.46034Lam, Nguyen; Lu, Guozhen; Zhang, Lu 37 2017 Sharp Hardy-Adams inequalities for bi-Laplacian on hyperbolic space of dimension four. Zbl 1384.46026Lu, Guozhen; Yang, Qiaohua 25 2017 Sharp constants and optimizers for a class of Caffarelli-Kohn-Nirenberg inequalities. Zbl 1367.26035Lam, Nguyen; Lu, Guozhen 22 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 16 2017 Liouville type theorems for PDE and IE systems involving fractional Laplacian on a half space. Zbl 1364.35421Dai, Wei; Liu, Zhao; Lu, Guozhen 12 2017 Hardy-Sobolev type integral systems with Dirichlet boundary conditions in a half space. Zbl 1369.45005Dai, Wei; Liu, Zhao; Lu, Guozhen 5 2017 \(\mathrm{L}^p\) estimates for a trilinear pseudo-differential operator with flag symbols. Zbl 1371.42012Lu, Guozhen; Zhang, Lu 4 2017 Sharp Moser-Trudinger inequalities on hyperbolic spaces with exact growth condition. Zbl 1356.46031Lu, Guozhen; Tang, Hanli 26 2016 Best constants and existence of maximizers for weighted Trudinger-Moser inequalities. Zbl 1364.46026Dong, Mengxia; Lu, Guozhen 23 2016 A sharp Trudinger-Moser inequality on any bounded and convex planar domain. Zbl 1369.46029Lu, Guozhen; Yang, Qiaohua 18 2016 Sharp singular Trudinger-Moser inequalities in Lorentz-Sobolev spaces. Zbl 1359.46035Lu, Guozhen; Tang, Hanli 16 2016 Duality of multi-parameter Triebel-Lizorkin spaces associated with the composition of two singular integral operators. Zbl 1338.42025Ding, Wei; Lu, Guozhen 11 2016 Symmetry and regularity of solutions to the weighted Hardy-Sobolev type system. Zbl 1382.35326Chen, Lu; Liu, Zhao; Lu, Guozhen 8 2016 Boundedness of multi-parameter Fourier multiplier operators on Triebel-Lizorkin and Besov-Lipschitz spaces. Zbl 1333.42013Chen, Lu; Lu, Guozhen; Luo, Xiang 8 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 16 2015 \(L^p\) estimates for multi-linear and multi-parameter pseudo-differential operators. Zbl 1335.47033Dai, Wei; Lu, Guozhen 16 2015 The maximum principles and symmetry results for viscosity solutions of fully nonlinear equations. Zbl 1312.35033Lu, Guozhen; Zhu, Jiuyi 7 2015 Sharp singular Trudinger-Moser-Adams type inequalities with exact growth. Zbl 1338.35016Lam, Nguyen; Lu, Guozhen 4 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 4 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 46 2014 Sharp subcritical Moser-Trudinger inequalities on Heisenberg groups and subelliptic PDEs. Zbl 1282.35393Lam, Nguyen; Lu, Guozhen; Tang, Hanli 28 2014 Hörmander type theorems for multi-linear and multi-parameter Fourier multiplier operators with limited smoothness. Zbl 1286.42010Chen, Jiao; Lu, Guozhen 25 2014 Flag Hardy spaces and Marcinkiewicz multipliers on the Heisenberg group. Zbl 1318.42026Han, Yongsheng; Lu, Guozhen; Sawyer, Eric 23 2014 Multilinear Calderón-Zygmund operators with kernels of Dini’s type and applications. Zbl 1290.42039Lu, Guozhen; Zhang, Pu 16 2014 Symbolic calculus and boundedness of multi-parameter and multi-linear pseudo-differential operators. Zbl 1321.47111Hong, Qing; Lu, Guozhen 13 2014 Duality theory of weighted Hardy spaces with arbitrary number of parameters. Zbl 1298.42025Lu, Guozhen; Ruan, Zhuoping 13 2014 Boundedness of singular integrals in Journé’s class on weighted multiparameter Hardy spaces. Zbl 1302.42024Han, Yongsheng; Lu, Guozhen; Ruan, Zhuoping 8 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 68 2013 \(N\)-Laplacian equations in \(\mathbb R^N\) with subcritical and critical growth without the Ambrosetti-Rabinowitz condition. Zbl 1283.35049Lam, Nguyen; Lu, Guozhen 26 2013 Best constants for Moser-Trudinger inequalities on high dimensional hyperbolic spaces. Zbl 1294.46035Lu, Guozhen; Tang, Hanli 25 2013 Multiparameter Hardy space theory on Carnot-Carathéodory spaces and product spaces of homogeneous type. Zbl 1275.42035Han, Yongsheng; Li, Ji; Lu, Guozhen 18 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. 13 2013 Boundedness criterion of Journé’s class of singular integrals on multiparameter Hardy spaces. Zbl 1268.42024Han, Yongsheng; Lu, Guozhen; Ruan, Zhuoping 13 2013 Singular integrals and weighted Triebel-Lizorkin and Besov spaces of arbitrary number of parameters. Zbl 1261.42030Lu, Guo Zhen; Zhu, Yue Ping 9 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 68 2012 Sharp Moser-Trudinger inequality on the Heisenberg group at the critical case and applications. Zbl 1278.42033Lam, Nguyen; Lu, Guozhen 54 2012 An overdetermined problem in Riesz-potential and fractional Laplacian. Zbl 1236.31004Lu, Guozhen; Zhu, Jiuyi 28 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 22 2012 Sharp singular Adams inequalities in high order Sobolev spaces. Zbl 1319.46027Nguyen Lam; Lu, Guozhen 21 2012 Characterization of balls in terms of Bessel-potential integral equation. Zbl 1229.31005Han, Xiaolong; Lu, Guozhen; Zhu, Jiuyi 20 2012 Existence of nontrivial solutions to polyharmonic equations with subcritical and critical exponential growth. Zbl 1245.35064Lam, Nguyen; Lu, Guozhen 19 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 18 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 17 2012 Hardy-Littlewood-Sobolev and Stein-Weiss inequalities and integral systems on the Heisenberg group. Zbl 1309.42032Han, Xiaolong; Lu, Guozhen; Zhu, Jiuyi 15 2012 The Moser-Trudinger and Adams inequalities and elliptic and subelliptic equations with nonlinearity of exponential growth. Zbl 1317.35018Lam, Nguyen; Lu, Guozhen 12 2012 Bounds of singular integrals on weighted Hardy spaces and discrete Littlewood-Paley analysis. Zbl 1408.42009Lu, Guozhen; Zhu, Yueping 11 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 10 2012 Liouville-type theorems and decay estimates for solutions to higher order elliptic equations. Zbl 1255.35064Lu, Guozhen; Wang, Peiyong; Zhu, Jiuyi 8 2012 Dual spaces of weighted multi-parameter Hardy spaces associated with the Zygmund dilation. Zbl 1275.42031Han, Xiaolong; Lu, Guozhen; Xiao, Yayuan 4 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 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 131 2011 Symmetry and regularity of extremals of an integral equation related to the Hardy-Sobolev inequality. Zbl 1231.35290Lu, Guozhen; Zhu, Jiuyi 47 2011 Axial symmetry and regularity of solutions to an integral equation in a half-space. Zbl 1239.45005Lu, Guozhen; Zhu, Jiuyi 18 2011 Regularity of solutions to an integral equation associated with Bessel potential. Zbl 1237.45002Han, Xiaolong; Lu, Guozhen 11 2011 \(H^p\to H^p\) boundedness implies \(H^p\to L^p\) boundedness. Zbl 1225.42014Han, Yongsheng; Li, Ji; Lu, Guozhen; Wang, Peiyong 8 2011 A geometric covering lemma and nodal sets of eigenfunctions. Zbl 1244.58013Han, Xiaolong; Lu, Guozhen 1 2011 Discrete Calderón’s identity, atomic decomposition and boundedness criterion of operators on multiparameter Hardy spaces. Zbl 1193.42090Han, Y.; Lu, G.; Zhao, K. 19 2010 Duality of multiparameter Hardy spaces \(H^{p}\) on spaces of homogeneous type. Zbl 1213.42073Han, Yongsheng; Li, Ji; Lu, Guozhen 18 2010 Infinity Laplace equation with non-trivial right-hand side. Zbl 1194.35194Lu, Guozhen; Wang, Peiyong 18 2010 Multi-parameter Triebel-Lizorkin and Besov spaces associated with flag singular integrals. Zbl 1192.42014Ding, Yong; Lu, Guo Zhen; Ma, Bo Lin 16 2010 Some recent works on multiparameter Hardy space theory and discrete Littlewood-Paley analysis. Zbl 1201.42016Han, Yongsheng; Lu, Guozhen 15 2010 On the uniqueness of a solution of a two-phase free boundary problem. Zbl 1185.35340Lu, Guozhen; Wang, Peiyong 5 2010 Sharp constant and extremal function for the improved Moser-Trudinger inequality involving \(L^p\) norm in two dimension. Zbl 1182.35093Lu, Guozhen; Yang, Yunyan 39 2009 ...and 56 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,024 Authors 92 Lu, Guozhen 41 Yang, Dachun 27 Lam, Nguyen 27 Li, Ji 25 Duong, Xuan Thinh 23 Niu, Pengcheng 20 Yan, Lixin 19 Nguyễn Văn Hoàng 19 Yang, Qiaohua 18 Franchi, Bruno 17 Chen, Lu 16 Do Ó, João M. Bezerra 16 Yang, Yunyan 15 Song, Liang 14 Wang, Jialin 14 Yang, Sibei 13 Bui, The Anh 12 Han, Yongsheng 12 Zhu, Maochun 11 Bonfiglioli, Andrea 11 Chen, Wenxiong 11 de Souza, Manassés 11 Manfredi, Juan J. 11 Wu, Xinfeng 10 Ding, Wei 10 Lanconelli, Ermanno 10 Liao, Dongni 10 Wheeden, Richard Lee 9 Cao, Jun 9 Guliyev, Vagif Sabir 9 Liu, Yu 9 Tang, Hanli 9 Uguzzoni, Francesco 8 Chen, Jiao 8 Chua, Seng-Kee 8 Dai, Wei 8 Li, Congming 8 Sani, Federica 8 Yang, Xiaoping 8 Zhu, Jiuyi 8 Zhu, Yueping 7 Aouaoui, Sami 7 Capogna, Luca 7 Chang, Der-Chen E. 7 Dou, Jingbo 7 Dziubański, Jacek 7 Garofalo, Nicola 7 Liu, Fang 7 Liu, Zhao 7 Morbidelli, Daniele 7 Tan, Chaoqiang 7 Yang, Zuodong 7 Zhang, Caifeng 7 Zhang, Lu 7 Zhu, Xiaobao 6 Baldi, Annalisa 6 Chen, Peng 6 Crasta, Graziano 6 Di Fazio, Giuseppe 6 Ferrari, Fausto 6 Fragalà, Ilaria 6 Fu, Zunwei 6 Gong, Ruming 6 Han, Yanchang 6 Han, Yazhou 6 Huang, Jizheng 6 Li, Pengtao 6 Liu, Suying 6 Liu, Zhao 6 Mohammed, Ahmed 6 Montanari, Annamaria 6 Rossi, Julio Daniel 6 Sreenadh, Konijeti 6 Vodop’yanov, Sergeĭ Konstantinovich 6 Wang, Peiyong 6 Wick, Brett D. 6 Yang, Dongyong 6 Yuan, Wen 6 Zamboni, Pietro 5 Balogh, Zoltán M. 5 Bieske, Thomas J. 5 Citti, Giovanna 5 Dragoni, Federica 5 Fanciullo, Maria Stella 5 Giacomoni, Jacques 5 Gutiérrez, Cristian E. 5 Huang, Liang 5 Liang, YiYu 5 Lin, Yan 5 Lu, Shanzhen 5 Maldonado, Diego 5 Mishra, Pawan Kumar 5 Monti, Roberto 5 Nguyen Tuan Duy 5 Ruzhansky, Michael V. 5 Shi, Shaoguang 5 Sun, Mingbao 5 Tao, Chunxia 5 Tyson, Jeremy T. 5 Wang, Xumin ...and 924 more Authors all top 5 Cited in 174 Serials 108 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 67 Journal of Mathematical Analysis and Applications 47 Journal of Functional Analysis 39 Acta Mathematica Sinica. English Series 34 Journal of Differential Equations 34 Proceedings of the American Mathematical Society 32 Calculus of Variations and Partial Differential Equations 30 The Journal of Geometric Analysis 29 Transactions of the American Mathematical Society 28 Potential Analysis 26 Communications on Pure and Applied Analysis 22 Advances in Mathematics 22 Advanced Nonlinear Studies 18 Science China. Mathematics 17 Mathematische Annalen 16 Discrete and Continuous Dynamical Systems 15 Forum Mathematicum 13 Annali di Matematica Pura ed Applicata. Serie Quarta 13 Communications in Partial Differential Equations 12 Manuscripta Mathematica 12 The Journal of Fourier Analysis and Applications 12 Communications in Contemporary Mathematics 11 Mathematische Zeitschrift 11 Journal of Inequalities and Applications 10 Revista Matemática Iberoamericana 10 NoDEA. Nonlinear Differential Equations and Applications 10 Complex Variables and Elliptic Equations 10 Journal of Function Spaces 9 Mathematische Nachrichten 9 Abstract and Applied Analysis 9 Boundary Value Problems 8 Siberian Mathematical Journal 7 Pacific Journal of Mathematics 7 International Journal of Mathematics 7 Journal de Mathématiques Pures et Appliquées. Neuvième Série 7 Banach Journal of Mathematical Analysis 7 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 7 Advances in Nonlinear Analysis 6 Journal d’Analyse Mathématique 6 Archiv der Mathematik 6 Czechoslovak Mathematical Journal 6 Applied Mathematics Letters 6 Revista Matemática Complutense 5 Applicable Analysis 5 Journal of Mathematical Physics 5 Mathematical Methods in the Applied Sciences 5 Mathematical Notes 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Annales de l’Institut Fourier 5 Electronic Journal of Differential Equations (EJDE) 5 Annales Academiae Scientiarum Fennicae. Mathematica 5 Taiwanese Journal of Mathematics 5 Mathematical Inequalities & Applications 5 Journal of Function Spaces and Applications 5 Mediterranean Journal of Mathematics 5 Journal of Pseudo-Differential Operators and Applications 4 Journal of Approximation Theory 4 Memoirs of the American Mathematical Society 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 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 4 Frontiers of Mathematics in China 4 Journal of Mathematical Inequalities 3 Rocky Mountain Journal of Mathematics 3 Studia Mathematica 3 Integral Equations and Operator Theory 3 Monatshefte für Mathematik 3 Acta Applicandae Mathematicae 3 Annals of Global Analysis and Geometry 3 Acta Mathematicae Applicatae Sinica. English Series 3 SIAM Journal on Mathematical Analysis 3 Bulletin des Sciences Mathématiques 3 Communications in Nonlinear Science and Numerical Simulation 3 Nonlinear Analysis. Real World Applications 3 Journal of the Australian Mathematical Society 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Advances in Calculus of Variations 3 Analysis and Mathematical Physics 3 Analysis and Geometry in Metric Spaces 2 Computers & Mathematics with Applications 2 Communications on Pure and Applied Mathematics 2 Indian Journal of Pure & Applied Mathematics 2 Nonlinearity 2 Mathematics of Computation 2 Canadian Journal of Mathematics 2 Duke Mathematical Journal 2 Indiana University Mathematics Journal 2 Journal of Computational and Applied Mathematics 2 Journal of the Mathematical Society of Japan 2 Nagoya Mathematical Journal 2 Rendiconti del Seminario Matematico della Università di Padova 2 Ricerche di Matematica 2 Zeitschrift für Analysis und ihre Anwendungen 2 Chinese Annals of Mathematics. Series B 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 St. Petersburg Mathematical Journal 2 Turkish Journal of Mathematics 2 Journal of Convex Analysis ...and 74 more Serials all top 5 Cited in 41 Fields 626 Partial differential equations (35-XX) 331 Harmonic analysis on Euclidean spaces (42-XX) 278 Functional analysis (46-XX) 144 Real functions (26-XX) 100 Operator theory (47-XX) 73 Abstract harmonic analysis (43-XX) 63 Global analysis, analysis on manifolds (58-XX) 51 Calculus of variations and optimal control; optimization (49-XX) 50 Topological groups, Lie groups (22-XX) 49 Differential geometry (53-XX) 43 Integral equations (45-XX) 42 Potential theory (31-XX) 35 Functions of a complex variable (30-XX) 18 Several complex variables and analytic spaces (32-XX) 13 Convex and discrete geometry (52-XX) 10 Probability theory and stochastic processes (60-XX) 10 Numerical analysis (65-XX) 9 Measure and integration (28-XX) 9 Ordinary differential equations (34-XX) 7 Fluid mechanics (76-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Approximations and expansions (41-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Information and communication theory, circuits (94-XX) 3 Combinatorics (05-XX) 3 Special functions (33-XX) 3 Difference and functional equations (39-XX) 3 Quantum theory (81-XX) 3 Biology and other natural sciences (92-XX) 2 Nonassociative rings and algebras (17-XX) 2 Group theory and generalizations (20-XX) 2 Manifolds and cell complexes (57-XX) 2 Computer science (68-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Integral transforms, operational calculus (44-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Mechanics of particles and systems (70-XX) 1 Statistical mechanics, structure of matter (82-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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