Edit Profile (opens in new tab) Niu, Pengcheng Compute Distance To: Compute Author ID: niu.pengcheng Published as: Niu, Pengcheng; Niu, Peng Cheng; Niu, Peng-cheng more...less Documents Indexed: 164 Publications since 1994 Co-Authors: 66 Co-Authors with 161 Joint Publications 1,258 Co-Co-Authors all top 5 Co-Authors 2 single-authored 17 Han, Junqiang 14 Guo, Qianqiao 12 Zhang, Huiqing 9 Cui, Xuewei 9 Dou, Jingbo 9 Feng, Xiaojing 9 Luo, Xuebo 8 Han, Yazhou 8 Yuan, Zixia 7 Wang, Jialin 6 Liu, Haifeng 6 Tang, Sufang 6 Zhu, Maochun 5 Wang, Huiju 5 Wang, Pengyan 5 Wu, Leyun 4 Han, Yanwu 4 Li, Yuanyuan 4 Wang, Xinjing 4 Wang, Yongzhong 4 Zhang, Jihui 3 Du, Guangwei 3 Ji, Xiaoxue 3 Li, Dongyan 3 Li, Zhouyu 3 Wei, Na 3 Zhang, Junli 3 Zhang, Wenji 3 Zhuo, Ran 2 Chen, Yanxia 2 Dong, Yan 2 Hou, Yuexia 2 Liu, Suying 2 Ruf, Bernhard 2 Wei, Guangsheng 2 Wu, Xuewen 2 Yu, Yuan-hong 2 Zhang, Kelei 1 Bramanti, Marco 1 Cui, Xuewe 1 Feng, Tingfu 1 Gao, Dan 1 Han, Jungqiang 1 Han, Junqian 1 Hou, Lingling 1 Li, Wenbai 1 Liu, Daoxian 1 Liu, Pan 1 Ou, Yafei 1 Qiao, Jing 1 Qin, Wenji 1 Qu, Changzheng 1 Qu, Jianbing 1 Ren, Jian 1 Shang, Yadong 1 Wang, Shengjun 1 Wang, Xiuxiu 1 Wang, Yongda 1 Wen, Chenglin 1 Wu, Duan 1 Xu, Yaluo 1 Yu, Mei 1 Zhang, Qixiong 1 Zhang, Shutao 1 Zhang, Xiaoying 1 Zheng, Zhujun all top 5 Serials 11 Journal of Partial Differential Equations 10 Journal of Mathematical Analysis and Applications 10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Pure and Applied Mathematics 5 Journal of Ningxia University. Natural Science Edition 4 Journal of Systems Science and Mathematical Sciences 4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 3 Journal of Mathematics. Wuhan University 3 Bulletin of the Korean Mathematical Society 3 Journal of Northwest University. Natural Sciences Edition 3 Mathematica Applicata 3 Acta Mathematica Scientia. Series B. (English Edition) 3 Communications on Pure and Applied Analysis 2 Computers & Mathematics with Applications 2 Acta Mathematica Sinica 2 Canadian Mathematical Bulletin 2 Journal of Differential Equations 2 Manuscripta Mathematica 2 Mathematica Scandinavica 2 Rendiconti del Seminario Matematico della Università di Padova 2 Journal of Mathematical Research & Exposition 2 Chinese Annals of Mathematics. Series A 2 Applied Mathematics Letters 2 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 2 Kyushu Journal of Mathematics 2 Georgian Mathematical Journal 2 Bulletin des Sciences Mathématiques 2 Discrete and Continuous Dynamical Systems 2 Journal of Inequalities and Applications 2 Chinese Quarterly Journal of Mathematics 2 Acta Mathematica Sinica. English Series 2 Acta Mathematica Scientia. Series A. (Chinese Edition) 2 International Journal of Pure and Applied Mathematics 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Boundary Value Problems 2 Complex Variables and Elliptic Equations 2 Acta Mathematica Sinica. Chinese Series 2 Chinese Journal of Engineering Mathematics 2 Scientia Sinica. Mathematica 2 Journal of Function Spaces 1 Analysis Mathematica 1 Houston Journal of Mathematics 1 International Journal of Non-Linear Mechanics 1 Mathematical Methods in the Applied Sciences 1 Journal of Geometry and Physics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Applied Mathematics and Computation 1 Archiv der Mathematik 1 Funkcialaj Ekvacioj. Serio Internacia 1 Glasgow Mathematical Journal 1 Journal of Functional Analysis 1 Mathematische Nachrichten 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Journal of Lanzhou University. Natural Sciences 1 Acta Applicandae Mathematicae 1 Advances in Mathematics 1 Acta Mathematicae Applicatae Sinica. English Series 1 Annals of Differential Equations 1 Applied Mathematics. Series B (English Edition) 1 Journal of Lie Theory 1 Journal of Baoji College of Arts and Science. Natural Science 1 Vietnam Journal of Mathematics 1 Abstract and Applied Analysis 1 Mathematical Inequalities & Applications 1 Fractional Calculus & Applied Analysis 1 Journal of Mathematical Study 1 Communications in Contemporary Mathematics 1 JIPAM. Journal of Inequalities in Pure & Applied Mathematics 1 Nonlinear Analysis. Real World Applications 1 Discrete and Continuous Dynamical Systems. Series B 1 Basic Sciences Journal of Textile Universities 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Mathematical Reports 1 Journal of Jilin University. Science Edition 1 Milan Journal of Mathematics 1 Miskolc Mathematical Notes 1 International Journal of Evolution Equations 1 Inverse Problems in Science and Engineering 1 Applicable Analysis and Discrete Mathematics 1 International Journal of Computational and Applied Mathematics 1 Nonlinear Analysis. Theory, Methods & Applications all top 5 Fields 137 Partial differential equations (35-XX) 18 Topological groups, Lie groups (22-XX) 11 Real functions (26-XX) 10 Abstract harmonic analysis (43-XX) 9 Functional analysis (46-XX) 9 Operator theory (47-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 8 Global analysis, analysis on manifolds (58-XX) 6 Ordinary differential equations (34-XX) 4 Integral equations (45-XX) 4 Biology and other natural sciences (92-XX) 3 Functions of a complex variable (30-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Differential geometry (53-XX) 2 Fluid mechanics (76-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Numerical analysis (65-XX) 1 Mechanics of deformable solids (74-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 90 Publications have been cited 390 times in 281 Documents Cited by ▼ Year ▼ Hardy type and Rellich type inequalities on the Heisenberg group. Zbl 0979.35035Niu, Pengcheng; Zhang, Huiqing; Wang, Yong 56 2001 Large time behavior in a chemotaxis model with logistic growth and indirect signal production. Zbl 1435.35068Zhang, Wenji; Niu, Pengcheng; Liu, Suying 18 2019 Optimal partial regularity for weak solutions of nonlinear sub-elliptic systems in Carnot groups. Zbl 1191.35086Wang, Jialin; Niu, Pengcheng 16 2010 Partial regularity for degenerate subelliptic systems associated with Hörmander’s vector fields. Zbl 1208.35021Gao, Dan; Niu, Pengcheng; Wang, Jialin 14 2010 Hardy-Sobolev type inequalities on the H-type group. Zbl 1078.22004Han, Yazhou; Niu, Pengcheng 11 2005 Symmetry and nonexistence of positive solutions to fractional \(p\)-Laplacian equations. Zbl 1415.35286Wu, Leyun; Niu, Pengcheng 11 2019 Periodic solution and almost periodic solution of impulsive Lasota-Wazewska model with multiple time-varying delays. Zbl 1268.34129Wang, Li; Yu, Mei; Niu, Pengcheng 10 2012 A direct method of moving planes for a fully nonlinear nonlocal system. Zbl 1364.35095Wang, Pengyan; Niu, Pengcheng 10 2017 Symmetry and nonexistence of positive solutions of integral systems with Hardy terms. Zbl 1307.35017Li, Dongyan; Niu, Pengcheng; Zhuo, Ran 9 2015 Hardy-type inequalities and Pohozaev-type identities for a class of \(p\)-degenerate subelliptic operators and applications. Zbl 1033.47033Zhang, Huiqing; Niu, Pengcheng 8 2003 Some Hardy-type inequalities for the generalized Baouendi-Grushin operators. Zbl 1074.35029Niu, Pengcheng; Chen, Yanxia; Han, Yazhou 8 2004 Weighted Sobolev-Morrey estimates for hypoelliptic operators with drift on homogeneous groups. Zbl 1316.42029Hou, Yuexia; Niu, Pengcheng 7 2015 Global compactness results for quasilinear elliptic problems with combined critical Sobolev-Hardy terms. Zbl 1205.35109Li, Yuanyuan; Guo, Qianqiao; Niu, Pengcheng 7 2011 Positive solutions to nonlinear systems involving fully nonlinear fractional operators. Zbl 1439.35543Niu, Pengcheng; Wu, Leyun; Ji, Xiaoxue 7 2018 Nonexistence of positive solutions for an integral equation related to the Hardy-Sobolev inequality. Zbl 1315.45003Li, Dongyan; Niu, Pengcheng; Zhuo, Ran 6 2014 Nodal and positive solutions for singular semilinear elliptic equations with critical exponents in symmetric domains. Zbl 1159.35031Guo, Qianqiao; Niu, Pengcheng 6 2008 Sharp weighted Hardy type inequalities and Hardy-Sobolev type inequalities on polarizable Carnot groups. Zbl 1160.35015Wang, Jialin; Niu, Pengcheng 6 2008 Regularity for weak solutions to nondiagonal quasilinear degenerate elliptic systems. Zbl 1334.35046Dong, Yan; Niu, Pengcheng 6 2016 Payne-Polya-Weinberger type inequalities for eigenvalues of nonelliptic operators. Zbl 1060.35092Niu, Pengcheng; Zhang, Huiqing 6 2003 A Hardy inequality with remainder terms in the Heisenberg group and the weighted eigenvalue problem. Zbl 1133.26019Dou, Jingbo; Niu, Pengcheng; Yuan, Zixia 6 2007 Symmetry and non-existence of positive solutions for PDE system with Navier boundary conditions on a half space. Zbl 1295.35220Li, Dongyan; Niu, Pengcheng; Zhuo, Ran 5 2014 Explicit exact solutions for the RLW equation and the SRLW equation in two space dimensions. Zbl 0935.35161Shang, Yadong; Niu, Pengcheng 5 1998 Estimates in Morrey spaces and Hölder continuity for weak solutions to degenerate elliptic systems. Zbl 1253.35052Dong, Yan; Niu, Pengcheng 5 2012 Quasilinear elliptic problems with combined critical Sobolev-Hardy terms. Zbl 1292.35104Li, Yuanyuan; Ruf, Bernhard; Guo, Qianqiao; Niu, Pengcheng 5 2013 Hardy inequalities with remainder terms for the generalized Baouendi-Grushin vector fields. Zbl 1190.26008Dou, Jingbo; Guo, Qianqiao; Niu, Pengcheng 5 2010 Nonexistence for semilinear equations and systems in the Heisenberg group. Zbl 0941.35013Niu, Pengcheng 5 1999 Symmetric properties of positive solutions for fully nonlinear nonlocal system. Zbl 1420.35462Wang, Pengyan; Niu, Pengcheng 5 2019 Hardy-Sobolev type inequalities for generalized Baouendi-Grushin operators. Zbl 1135.35321Niu, Pengcheng; Dou, Jingbo 4 2007 A Hardy type inequality and indefinite eigenvalue problems on the homogeneous group. Zbl 1020.35022Han, Yazhou; Niu, Pengcheng; Luo, Xuebo 4 2002 Morrey estimates for parabolic nondivergence operators of Hörmander type. Zbl 1230.35142Tang, Sufang; Niu, Pengcheng 4 2010 A Hopf type lemma and a CR type inversion for the generalized Greiner operator. Zbl 1058.35068Niu, Pengcheng; Han, Yanwu; Han, Junqiang 4 2004 Several Hardy type inequalities with weights related to generalized Greiner operator. Zbl 1183.35007Niu, Pengcheng; Ou, Yafei; Han, Junqiang 4 2010 Interior \(HW^{1,p}\) estimates for divergence degenerate elliptic systems in Carnot groups. Zbl 1261.35145Zhu, Maochun; Bramanti, Marco; Niu, Pengcheng 4 2013 On first order interpolation inequalities with weights on the Heisenberg group. Zbl 1266.26031Han, Ya Zhou; Niu, Peng Cheng; Zhang, Shu Tao 4 2011 Hardy inequalities in half spaces of the Heisenberg group. Zbl 1158.35339Han, Junqiang; Niu, Pengcheng; Qin, Wenji 4 2008 Interior regularity for degenerate elliptic equations with drift on homogeneous groups. Zbl 1279.22029Feng, Xiaojing; Niu, Pengcheng 4 2013 \(L^{p}\) estimates for weak solutions to nonlinear sub-elliptic systems related to Hörmander’s vector fields. Zbl 1182.35059Wang, Jialin; Niu, Pengcheng; Cui, Xuewei 3 2009 Asymptotic behavior in a quasilinear chemotaxis-growth system with indirect signal production. Zbl 1439.35079Zhang, Wenji; Liu, Suying; Niu, Pengcheng 3 2020 Interior \(W^{1,p}\) regularity and Hölder continuity of weak solutions to a class of divergence Kolmogorov equations with discontinuous coefficients. Zbl 1364.35153Zhu, Maochun; Niu, Pengcheng 3 2013 Existence results for the positive solutions of semilinear equations on the Heisenberg group. Zbl 0907.35043Zhang, Ji Hui; Niu, Pengcheng 3 1998 Hardy’s theorem and rotations of several complex variables. Zbl 1212.32004Tang, Sufang; Niu, Pengcheng 3 2009 Harnack estimates for a quasi-linear parabolic equation with a singular weight. Zbl 1228.35075Wang, Yongzhong; Niu, Pengcheng; Cui, Xuewei 3 2011 Existence and multiplicity of solutions for critical elliptic equations with multi-polar potentials in symmetric domains. Zbl 1250.35083Guo, Qianqiao; Han, Junqiang; Niu, Pengcheng 3 2012 Estimates in generalized Morrey spaces for nondivergence degenerate elliptic operators with discontinuous coefficients. Zbl 1266.42038Wei, Na; Niu, Pengcheng; Tang, Sufang; Zhu, Maochun 3 2012 Maximum principles of nonhomogeneous subelliptic \(p\)-Laplace equations and applications. Zbl 1123.35007Liu, Haifeng; Niu, Pengcheng 3 2006 Multiple solutions of some boundary value problems with parameters. Zbl 1219.34022Feng, Xiaojing; Niu, Pengcheng; Guo, Qianqiao 2 2011 Some Hardy type inequalities on groups of Heisenberg type. Zbl 1103.35309Han, Junqiang; Niu, Pengcheng; Han, Yazhou 2 2005 Positive solutions for singular elliptic equations with mixed Dirichlet-Neumann boundary conditions. Zbl 1286.35069Li, Yuanyuan; Ruf, Bernhard; Guo, Qianqiao; Niu, Pengcheng 2 2014 Hardy’s inequalities and Pokhozhaev’s identities on the Heisenberg group. Zbl 1136.35336Niu, Peng Cheng; Zhang, Hui Qing; Luo, Xue Bo 2 2003 Polar coordinates on \(H\)-type groups and applications. Zbl 1119.35125Han, Junqian; Niu, Pengcheng 2 2006 Dirichlet eigenvalue ratios for the \(p\)-sub-Laplacian in the Carnot group. Zbl 1212.35492Wei, Na; Niu, Pengcheng; Liu, Haifeng 2 2009 The existence of solutions for quasilinear elliptic problems with combined critical Sobolev-Hardy terms. Zbl 1237.35082Li, Yuanyuan; Guo, Qianqiao; Niu, Pengcheng 2 2012 Some Hardy type inequalities in the Heisenberg group. Zbl 1050.35020Han, Yazhou; Niu, Pengcheng 2 2003 Eigenvalue estimates of Laplacian and some generalizations. Zbl 1061.35062Niu, Pengcheng; Qu, Jianbing; Han, Junqiang 2 2003 Multiplicity of solutions for singular semilinear elliptic equations with critical Hardy-Sobolev exponents. Zbl 1274.35082Guo, Qianqiao; Niu, Pengcheng; Dou, Jingbo 2 2008 Some theorems on existence and uniqueness of fixed points for decreasing operators. Zbl 1186.54034Guo, Qianqiao; Niu, Pengcheng 2 2009 Polar coordinates for the generalized Baouendi-Grushin operator and applications. Zbl 1164.35077Dou, Jingbo; Niu, Pengcheng; Han, Junqiang 2 2007 A Hopf type principle and a strong maximum principle for the \(p\)-sub-Laplacian on the group of Heisenberg type. Zbl 1140.35396Yuan, Zixia; Niu, Pengcheng 2 2007 An inverse eigenvalue problem for a nonlocal Sturm-Liouville operator. Zbl 1479.34054Wu, Xuewen; Niu, Pengcheng; Wei, Guangsheng 2 2021 A Liouville theorem for the semilinear fractional CR covariant equation on the Heisenberg group. Zbl 1415.35071Wang, Xinjing; Cui, Xuewei; Niu, Pengcheng 2 2019 Liouville’s theorem for a fractional elliptic system. Zbl 1407.35040Wang, Pengyan; Niu, Pengcheng 2 2019 A Liouville type theorem to an extension problem relating to the Heisenberg group. Zbl 1395.35056Wang, Xinjing; Niu, Pengcheng; Cui, Xuewei 2 2018 Interior regularity for degenerate equations with drift on homogeneous groups. Zbl 1418.35350Du, Guangwei; Han, Junqiang; Niu, Pengcheng 2 2019 Green functions for weighted subelliptic \(p\)-Laplace operator constructed by Hörmander’s vector fields. Zbl 1347.35092Wu, Leyun; Niu, Pengcheng 2 2016 Symmetric properties for Choquard equations involving fully nonlinear nonlocal operators. Zbl 1479.35930Wang, Pengyan; Chen, Li; Niu, Pengcheng 1 2021 Regularity in Orlicz spaces for nondivergence degenerate elliptic equations in Carnot groups. Zbl 1297.35258Niu, Pengcheng; Zhu, Maochun 1 2014 Local Sobolev-Morrey estimates for nondivergence operators with drift on homogeneous groups. Zbl 1302.35086Feng, Xiaojing; Niu, Pengcheng 1 2014 Nonexistences of weak solutions for \(p\)-sub-Laplacian inequalities on the Heisenberg group. Zbl 1104.35330Dou, Jingbo; Niu, Pengcheng 1 2006 Nontrivial solutions for a class of non-divergence equations on polarizable Carnot group. Zbl 1237.35032Liu, Haifeng; Niu, Pengcheng 1 2006 Nonexistence of weak solutions for the \(p\)-degenerate subelliptic inequalities constructed by generalized Baouendi-Grushin vector fields. Zbl 1099.35184Niu, Pengcheng; Dou, Jingbo; Zhang, Huiqing 1 2005 Mean value theorem and Pohozaev type identities of generalized Greiner operator and their applications. Zbl 0987.35007Zhang, Huiqing; Niu, Pengcheng; Luo, Xuebo 1 2001 Existence of solutions for 2\(m\)th-order periodic boundary value problems. Zbl 1235.34062Feng, Xiaojing; Niu, Pengcheng; Guo, Qianqiao 1 2011 Some Liouville type theorems for the \(p\)-sub-Laplacian on the group of Heisenberg type. Zbl 1174.35048Yuan, Zixia; Niu, Pengcheng 1 2008 Global compactness results for singular quasilinear elliptic problems with critical Sobolev exponents and applications. Zbl 1167.35337Guo, Qianqiao; Niu, Pengcheng; Wang, Yongzhong 1 2009 Existence of sign-changing solutions for semilinear singular elliptic equations with critical Sobolev exponents. Zbl 1181.35091Guo, Qianqiao; Niu, Pengcheng; Cui, Xuewei 1 2010 Global Orlicz regularity for sub-Laplace equations on homogeneous groups. Zbl 1253.35194Feng, Xiaojing; Niu, Pengcheng 1 2012 Semilinear degenerate evolution inequalities with singular potential constructed from the generalized Greiner vector fields. Zbl 1109.35029Yuan, Zixia; Niu, Pengcheng 1 2007 Liouville type theorems of semilinear equations with square sum of vector fields. Zbl 1080.35003Han, Yazhou; Luo, Xuebo; Niu, Pengcheng 1 2005 Semilinear equations with critical exponents on the Heisenberg group. Zbl 0923.22004Niu, Pengcheng; Zhang, Jihui; Wen, Chenglin 1 1998 Asymptotics in a two-species chemotaxis system with logistic source. Zbl 1466.35051Zhang, Wenji; Niu, Pengcheng 1 2021 A Carleman estimate and unique continuation for the sub-Laplacian in the Heisenberg group. Zbl 1045.22011Zhang, Huiqing; Niu, Pengcheng; Wang, Shengjun 1 2003 High order Fefferman-Phong type inequalities in Carnot groups and regularity for degenerate elliptic operators plus a potential. Zbl 1470.35377Niu, Pengcheng; Zhang, Kelei 1 2014 Gehring’s lemma for Orlicz functions in metric measure spaces and higher integrability for convex integral functionals. Zbl 1412.30150Niu, Pengcheng; Wang, Huiju 1 2018 Several logarithmic Caffarelli-Kohn-Nirenberg inequalities and applications. Zbl 1373.35014Feng, Tingfu; Niu, Pengcheng; Qiao, Jing 1 2018 Higher integrability for very weak solutions of obstacle problems to nonlinear subelliptic equations. Zbl 1389.35137Du, Guangwei; Niu, Pengcheng 1 2017 Harnack inequalities for weighted subelliptic \(p\)-Laplace equations constructed by Hörmander vector fields. Zbl 1399.35146Wu, Leyun; Niu, Pengcheng 1 2017 Hölder regularity of quasiminimizers to generalized Orlicz functional on the Heisenberg group. Zbl 1462.35118Zhang, Junli; Niu, Pengcheng 1 2020 Remarks on Liouville type theorems for the 3D stationary MHD equations. Zbl 1456.35164Li, Zhouyu; Liu, Pan; Niu, Pengcheng 1 2020 Notes on Liouville type theorems for the stationary compressible Navier-Stokes equations. Zbl 1458.35089Li, Zhouyu; Niu, Pengcheng 1 2021 Global Sobolev-Morrey estimates for hypoelliptic operators with drift on homogeneous groups. Zbl 07449104Niu, Pengcheng; Feng, Xiaojing 1 2012 An inverse eigenvalue problem for a nonlocal Sturm-Liouville operator. Zbl 1479.34054Wu, Xuewen; Niu, Pengcheng; Wei, Guangsheng 2 2021 Symmetric properties for Choquard equations involving fully nonlinear nonlocal operators. Zbl 1479.35930Wang, Pengyan; Chen, Li; Niu, Pengcheng 1 2021 Asymptotics in a two-species chemotaxis system with logistic source. Zbl 1466.35051Zhang, Wenji; Niu, Pengcheng 1 2021 Notes on Liouville type theorems for the stationary compressible Navier-Stokes equations. Zbl 1458.35089Li, Zhouyu; Niu, Pengcheng 1 2021 Asymptotic behavior in a quasilinear chemotaxis-growth system with indirect signal production. Zbl 1439.35079Zhang, Wenji; Liu, Suying; Niu, Pengcheng 3 2020 Hölder regularity of quasiminimizers to generalized Orlicz functional on the Heisenberg group. Zbl 1462.35118Zhang, Junli; Niu, Pengcheng 1 2020 Remarks on Liouville type theorems for the 3D stationary MHD equations. Zbl 1456.35164Li, Zhouyu; Liu, Pan; Niu, Pengcheng 1 2020 Large time behavior in a chemotaxis model with logistic growth and indirect signal production. Zbl 1435.35068Zhang, Wenji; Niu, Pengcheng; Liu, Suying 18 2019 Symmetry and nonexistence of positive solutions to fractional \(p\)-Laplacian equations. Zbl 1415.35286Wu, Leyun; Niu, Pengcheng 11 2019 Symmetric properties of positive solutions for fully nonlinear nonlocal system. Zbl 1420.35462Wang, Pengyan; Niu, Pengcheng 5 2019 A Liouville theorem for the semilinear fractional CR covariant equation on the Heisenberg group. Zbl 1415.35071Wang, Xinjing; Cui, Xuewei; Niu, Pengcheng 2 2019 Liouville’s theorem for a fractional elliptic system. Zbl 1407.35040Wang, Pengyan; Niu, Pengcheng 2 2019 Interior regularity for degenerate equations with drift on homogeneous groups. Zbl 1418.35350Du, Guangwei; Han, Junqiang; Niu, Pengcheng 2 2019 Positive solutions to nonlinear systems involving fully nonlinear fractional operators. Zbl 1439.35543Niu, Pengcheng; Wu, Leyun; Ji, Xiaoxue 7 2018 A Liouville type theorem to an extension problem relating to the Heisenberg group. Zbl 1395.35056Wang, Xinjing; Niu, Pengcheng; Cui, Xuewei 2 2018 Gehring’s lemma for Orlicz functions in metric measure spaces and higher integrability for convex integral functionals. Zbl 1412.30150Niu, Pengcheng; Wang, Huiju 1 2018 Several logarithmic Caffarelli-Kohn-Nirenberg inequalities and applications. Zbl 1373.35014Feng, Tingfu; Niu, Pengcheng; Qiao, Jing 1 2018 A direct method of moving planes for a fully nonlinear nonlocal system. Zbl 1364.35095Wang, Pengyan; Niu, Pengcheng 10 2017 Higher integrability for very weak solutions of obstacle problems to nonlinear subelliptic equations. Zbl 1389.35137Du, Guangwei; Niu, Pengcheng 1 2017 Harnack inequalities for weighted subelliptic \(p\)-Laplace equations constructed by Hörmander vector fields. Zbl 1399.35146Wu, Leyun; Niu, Pengcheng 1 2017 Regularity for weak solutions to nondiagonal quasilinear degenerate elliptic systems. Zbl 1334.35046Dong, Yan; Niu, Pengcheng 6 2016 Green functions for weighted subelliptic \(p\)-Laplace operator constructed by Hörmander’s vector fields. Zbl 1347.35092Wu, Leyun; Niu, Pengcheng 2 2016 Symmetry and nonexistence of positive solutions of integral systems with Hardy terms. Zbl 1307.35017Li, Dongyan; Niu, Pengcheng; Zhuo, Ran 9 2015 Weighted Sobolev-Morrey estimates for hypoelliptic operators with drift on homogeneous groups. Zbl 1316.42029Hou, Yuexia; Niu, Pengcheng 7 2015 Nonexistence of positive solutions for an integral equation related to the Hardy-Sobolev inequality. Zbl 1315.45003Li, Dongyan; Niu, Pengcheng; Zhuo, Ran 6 2014 Symmetry and non-existence of positive solutions for PDE system with Navier boundary conditions on a half space. Zbl 1295.35220Li, Dongyan; Niu, Pengcheng; Zhuo, Ran 5 2014 Positive solutions for singular elliptic equations with mixed Dirichlet-Neumann boundary conditions. Zbl 1286.35069Li, Yuanyuan; Ruf, Bernhard; Guo, Qianqiao; Niu, Pengcheng 2 2014 Regularity in Orlicz spaces for nondivergence degenerate elliptic equations in Carnot groups. Zbl 1297.35258Niu, Pengcheng; Zhu, Maochun 1 2014 Local Sobolev-Morrey estimates for nondivergence operators with drift on homogeneous groups. Zbl 1302.35086Feng, Xiaojing; Niu, Pengcheng 1 2014 High order Fefferman-Phong type inequalities in Carnot groups and regularity for degenerate elliptic operators plus a potential. Zbl 1470.35377Niu, Pengcheng; Zhang, Kelei 1 2014 Quasilinear elliptic problems with combined critical Sobolev-Hardy terms. Zbl 1292.35104Li, Yuanyuan; Ruf, Bernhard; Guo, Qianqiao; Niu, Pengcheng 5 2013 Interior \(HW^{1,p}\) estimates for divergence degenerate elliptic systems in Carnot groups. Zbl 1261.35145Zhu, Maochun; Bramanti, Marco; Niu, Pengcheng 4 2013 Interior regularity for degenerate elliptic equations with drift on homogeneous groups. Zbl 1279.22029Feng, Xiaojing; Niu, Pengcheng 4 2013 Interior \(W^{1,p}\) regularity and Hölder continuity of weak solutions to a class of divergence Kolmogorov equations with discontinuous coefficients. Zbl 1364.35153Zhu, Maochun; Niu, Pengcheng 3 2013 Periodic solution and almost periodic solution of impulsive Lasota-Wazewska model with multiple time-varying delays. Zbl 1268.34129Wang, Li; Yu, Mei; Niu, Pengcheng 10 2012 Estimates in Morrey spaces and Hölder continuity for weak solutions to degenerate elliptic systems. Zbl 1253.35052Dong, Yan; Niu, Pengcheng 5 2012 Existence and multiplicity of solutions for critical elliptic equations with multi-polar potentials in symmetric domains. Zbl 1250.35083Guo, Qianqiao; Han, Junqiang; Niu, Pengcheng 3 2012 Estimates in generalized Morrey spaces for nondivergence degenerate elliptic operators with discontinuous coefficients. Zbl 1266.42038Wei, Na; Niu, Pengcheng; Tang, Sufang; Zhu, Maochun 3 2012 The existence of solutions for quasilinear elliptic problems with combined critical Sobolev-Hardy terms. Zbl 1237.35082Li, Yuanyuan; Guo, Qianqiao; Niu, Pengcheng 2 2012 Global Orlicz regularity for sub-Laplace equations on homogeneous groups. Zbl 1253.35194Feng, Xiaojing; Niu, Pengcheng 1 2012 Global Sobolev-Morrey estimates for hypoelliptic operators with drift on homogeneous groups. Zbl 07449104Niu, Pengcheng; Feng, Xiaojing 1 2012 Global compactness results for quasilinear elliptic problems with combined critical Sobolev-Hardy terms. Zbl 1205.35109Li, Yuanyuan; Guo, Qianqiao; Niu, Pengcheng 7 2011 On first order interpolation inequalities with weights on the Heisenberg group. Zbl 1266.26031Han, Ya Zhou; Niu, Peng Cheng; Zhang, Shu Tao 4 2011 Harnack estimates for a quasi-linear parabolic equation with a singular weight. Zbl 1228.35075Wang, Yongzhong; Niu, Pengcheng; Cui, Xuewei 3 2011 Multiple solutions of some boundary value problems with parameters. Zbl 1219.34022Feng, Xiaojing; Niu, Pengcheng; Guo, Qianqiao 2 2011 Existence of solutions for 2\(m\)th-order periodic boundary value problems. Zbl 1235.34062Feng, Xiaojing; Niu, Pengcheng; Guo, Qianqiao 1 2011 Optimal partial regularity for weak solutions of nonlinear sub-elliptic systems in Carnot groups. Zbl 1191.35086Wang, Jialin; Niu, Pengcheng 16 2010 Partial regularity for degenerate subelliptic systems associated with Hörmander’s vector fields. Zbl 1208.35021Gao, Dan; Niu, Pengcheng; Wang, Jialin 14 2010 Hardy inequalities with remainder terms for the generalized Baouendi-Grushin vector fields. Zbl 1190.26008Dou, Jingbo; Guo, Qianqiao; Niu, Pengcheng 5 2010 Morrey estimates for parabolic nondivergence operators of Hörmander type. Zbl 1230.35142Tang, Sufang; Niu, Pengcheng 4 2010 Several Hardy type inequalities with weights related to generalized Greiner operator. Zbl 1183.35007Niu, Pengcheng; Ou, Yafei; Han, Junqiang 4 2010 Existence of sign-changing solutions for semilinear singular elliptic equations with critical Sobolev exponents. Zbl 1181.35091Guo, Qianqiao; Niu, Pengcheng; Cui, Xuewei 1 2010 \(L^{p}\) estimates for weak solutions to nonlinear sub-elliptic systems related to Hörmander’s vector fields. Zbl 1182.35059Wang, Jialin; Niu, Pengcheng; Cui, Xuewei 3 2009 Hardy’s theorem and rotations of several complex variables. Zbl 1212.32004Tang, Sufang; Niu, Pengcheng 3 2009 Dirichlet eigenvalue ratios for the \(p\)-sub-Laplacian in the Carnot group. Zbl 1212.35492Wei, Na; Niu, Pengcheng; Liu, Haifeng 2 2009 Some theorems on existence and uniqueness of fixed points for decreasing operators. Zbl 1186.54034Guo, Qianqiao; Niu, Pengcheng 2 2009 Global compactness results for singular quasilinear elliptic problems with critical Sobolev exponents and applications. Zbl 1167.35337Guo, Qianqiao; Niu, Pengcheng; Wang, Yongzhong 1 2009 Nodal and positive solutions for singular semilinear elliptic equations with critical exponents in symmetric domains. Zbl 1159.35031Guo, Qianqiao; Niu, Pengcheng 6 2008 Sharp weighted Hardy type inequalities and Hardy-Sobolev type inequalities on polarizable Carnot groups. Zbl 1160.35015Wang, Jialin; Niu, Pengcheng 6 2008 Hardy inequalities in half spaces of the Heisenberg group. Zbl 1158.35339Han, Junqiang; Niu, Pengcheng; Qin, Wenji 4 2008 Multiplicity of solutions for singular semilinear elliptic equations with critical Hardy-Sobolev exponents. Zbl 1274.35082Guo, Qianqiao; Niu, Pengcheng; Dou, Jingbo 2 2008 Some Liouville type theorems for the \(p\)-sub-Laplacian on the group of Heisenberg type. Zbl 1174.35048Yuan, Zixia; Niu, Pengcheng 1 2008 A Hardy inequality with remainder terms in the Heisenberg group and the weighted eigenvalue problem. Zbl 1133.26019Dou, Jingbo; Niu, Pengcheng; Yuan, Zixia 6 2007 Hardy-Sobolev type inequalities for generalized Baouendi-Grushin operators. Zbl 1135.35321Niu, Pengcheng; Dou, Jingbo 4 2007 Polar coordinates for the generalized Baouendi-Grushin operator and applications. Zbl 1164.35077Dou, Jingbo; Niu, Pengcheng; Han, Junqiang 2 2007 A Hopf type principle and a strong maximum principle for the \(p\)-sub-Laplacian on the group of Heisenberg type. Zbl 1140.35396Yuan, Zixia; Niu, Pengcheng 2 2007 Semilinear degenerate evolution inequalities with singular potential constructed from the generalized Greiner vector fields. Zbl 1109.35029Yuan, Zixia; Niu, Pengcheng 1 2007 Maximum principles of nonhomogeneous subelliptic \(p\)-Laplace equations and applications. Zbl 1123.35007Liu, Haifeng; Niu, Pengcheng 3 2006 Polar coordinates on \(H\)-type groups and applications. Zbl 1119.35125Han, Junqian; Niu, Pengcheng 2 2006 Nonexistences of weak solutions for \(p\)-sub-Laplacian inequalities on the Heisenberg group. Zbl 1104.35330Dou, Jingbo; Niu, Pengcheng 1 2006 Nontrivial solutions for a class of non-divergence equations on polarizable Carnot group. Zbl 1237.35032Liu, Haifeng; Niu, Pengcheng 1 2006 Hardy-Sobolev type inequalities on the H-type group. Zbl 1078.22004Han, Yazhou; Niu, Pengcheng 11 2005 Some Hardy type inequalities on groups of Heisenberg type. Zbl 1103.35309Han, Junqiang; Niu, Pengcheng; Han, Yazhou 2 2005 Nonexistence of weak solutions for the \(p\)-degenerate subelliptic inequalities constructed by generalized Baouendi-Grushin vector fields. Zbl 1099.35184Niu, Pengcheng; Dou, Jingbo; Zhang, Huiqing 1 2005 Liouville type theorems of semilinear equations with square sum of vector fields. Zbl 1080.35003Han, Yazhou; Luo, Xuebo; Niu, Pengcheng 1 2005 Some Hardy-type inequalities for the generalized Baouendi-Grushin operators. Zbl 1074.35029Niu, Pengcheng; Chen, Yanxia; Han, Yazhou 8 2004 A Hopf type lemma and a CR type inversion for the generalized Greiner operator. Zbl 1058.35068Niu, Pengcheng; Han, Yanwu; Han, Junqiang 4 2004 Hardy-type inequalities and Pohozaev-type identities for a class of \(p\)-degenerate subelliptic operators and applications. Zbl 1033.47033Zhang, Huiqing; Niu, Pengcheng 8 2003 Payne-Polya-Weinberger type inequalities for eigenvalues of nonelliptic operators. Zbl 1060.35092Niu, Pengcheng; Zhang, Huiqing 6 2003 Hardy’s inequalities and Pokhozhaev’s identities on the Heisenberg group. Zbl 1136.35336Niu, Peng Cheng; Zhang, Hui Qing; Luo, Xue Bo 2 2003 Some Hardy type inequalities in the Heisenberg group. Zbl 1050.35020Han, Yazhou; Niu, Pengcheng 2 2003 Eigenvalue estimates of Laplacian and some generalizations. Zbl 1061.35062Niu, Pengcheng; Qu, Jianbing; Han, Junqiang 2 2003 A Carleman estimate and unique continuation for the sub-Laplacian in the Heisenberg group. Zbl 1045.22011Zhang, Huiqing; Niu, Pengcheng; Wang, Shengjun 1 2003 A Hardy type inequality and indefinite eigenvalue problems on the homogeneous group. Zbl 1020.35022Han, Yazhou; Niu, Pengcheng; Luo, Xuebo 4 2002 Hardy type and Rellich type inequalities on the Heisenberg group. Zbl 0979.35035Niu, Pengcheng; Zhang, Huiqing; Wang, Yong 56 2001 Mean value theorem and Pohozaev type identities of generalized Greiner operator and their applications. Zbl 0987.35007Zhang, Huiqing; Niu, Pengcheng; Luo, Xuebo 1 2001 Nonexistence for semilinear equations and systems in the Heisenberg group. Zbl 0941.35013Niu, Pengcheng 5 1999 Explicit exact solutions for the RLW equation and the SRLW equation in two space dimensions. Zbl 0935.35161Shang, Yadong; Niu, Pengcheng 5 1998 Existence results for the positive solutions of semilinear equations on the Heisenberg group. Zbl 0907.35043Zhang, Ji Hui; Niu, Pengcheng 3 1998 Semilinear equations with critical exponents on the Heisenberg group. Zbl 0923.22004Niu, Pengcheng; Zhang, Jihui; Wen, Chenglin 1 1998 all cited Publications top 5 cited Publications all top 5 Cited by 307 Authors 40 Niu, Pengcheng 17 Wang, Jialin 14 Suragan, Durvudkhan 11 Liao, Dongni 11 Ruzhansky, Michael V. 10 Guo, Qianqiao 9 Dou, Jingbo 9 Han, Yazhou 8 Kombe, Ismail 7 Yener, Abdullah 6 Du, Guangwei 6 Han, Junqiang 5 Jin, Yongyang 5 Tan, Zhong 5 Wang, Pengyan 5 Wu, Leyun 5 Zheng, Pan 5 Zhu, Maochun 4 Chen, Shuhong 4 Dong, Yan 4 Li, Yuanyuan 4 Pucci, Patrizia 4 Sabitbek, Bolys 4 Tyagi, Jagmohan 4 Xing, Jie 4 Yessirkegenov, Nurgissa A. 4 Yu, Zefeng 3 Ahmetolan, Semra 3 Bartsch, Thomas J. 3 El Soufi, Ahmad 3 Feng, Tingfu 3 Flynn, Joshua 3 Kassymov, Aidyn Adilovich 3 Lam, Nguyen 3 Loiudice, Annunziata 3 Wang, Yanzhen 3 Xiang, Yuting 3 Yang, Qiang 3 Yang, Qiaohua 3 Yuan, Zixia 3 Zhang, Huixing 3 Zhang, Kelei 3 Zhang, Shutao 3 Zhong, Shou-Ming 2 Aribi, Amine 2 Bordoni, Sara 2 Cao, Linfen 2 Chen, Wenxiong 2 Cui, Xuewei 2 Dai, Feng 2 Dai, Zhaohui 2 D’Ambrosio, Lorenzo 2 Dehghan Takht Fooladi, Mehdi 2 Dong, Ying 2 Dwivedi, Gaurav 2 Feng, Xiaojing 2 Gao, Shujin 2 Garofalo, Nicola 2 Goldstein, Jerome Arthur 2 Guliyev, Vagif Sabir 2 Haroske, Dorothee D. 2 Hong, Pingzhou 2 Ilias, Saïd 2 Jaber, Hassan 2 Ji, Xiaoxue 2 Jing, Bin 2 Laptev, Ari 2 Li, Dan 2 Li, Fengquan 2 Li, Fushan 2 Li, Xia 2 Li, Xiaodi 2 Li, Yingqi 2 Li, Zhongping 2 Liao, Qiang 2 Liu, Suying 2 Lu, Guozhen 2 Ma, Feiyao 2 Ma, Lingwei 2 Ma, Pei 2 Molica Bisci, Giovanni 2 Pan, Jie 2 Peng, Yingping 2 Repovš, Dušan D. 2 Sarathi Patra, Partha 2 Sawano, Yoshihiro 2 Shen, Shoufeng 2 Skrzypczak, Leszek 2 Wang, Huiju 2 Wang, Xiaoshan 2 Wang, Xinjing 2 Wei, Na 2 Wo, Weifeng 2 Wu, Shimin 2 Xiao, Yingxiong 2 Zegarlinski, Boguslaw 2 Zeng, Fanqi 2 Zhang, Jihui 2 Zhang, Junli 2 Zhang, Yajie ...and 207 more Authors all top 5 Cited in 108 Serials 22 Journal of Mathematical Analysis and Applications 20 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 14 Boundary Value Problems 11 Journal of Inequalities and Applications 10 Communications on Pure and Applied Analysis 7 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 6 Journal of Differential Equations 6 Proceedings of the American Mathematical Society 6 NoDEA. Nonlinear Differential Equations and Applications 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Advances in Mathematics 5 Abstract and Applied Analysis 5 Complex Variables and Elliptic Equations 4 Applicable Analysis 4 Rocky Mountain Journal of Mathematics 4 Manuscripta Mathematica 4 Acta Applicandae Mathematicae 4 Mathematical Inequalities & Applications 4 Acta Mathematica Sinica. English Series 4 Advances in Mathematical Physics 4 Advances in Nonlinear Analysis 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Mathematica Scandinavica 3 Rendiconti del Seminario Matematico della Università di Padova 3 Applied Mathematics Letters 3 The Journal of Geometric Analysis 3 Applied Mathematics. Series B (English Edition) 3 Bulletin des Sciences Mathématiques 3 Discrete and Continuous Dynamical Systems 3 Discrete Dynamics in Nature and Society 3 Advanced Nonlinear Studies 3 Bulletin of the Brazilian Mathematical Society. New Series 3 Mediterranean Journal of Mathematics 3 Journal of Pseudo-Differential Operators and Applications 2 Indian Journal of Pure & Applied Mathematics 2 Applied Mathematics and Computation 2 Mathematische Nachrichten 2 Quaestiones Mathematicae 2 Potential Analysis 2 Calculus of Variations and Partial Differential Equations 2 Journal of Mathematical Sciences (New York) 2 Nonlinear Analysis. Real World Applications 2 Advances in Difference Equations 2 Discrete and Continuous Dynamical Systems. Series S 2 Eurasian Mathematical Journal 2 Analysis and Mathematical Physics 1 Analysis Mathematica 1 Computers & Mathematics with Applications 1 Computer Physics Communications 1 Wave Motion 1 Journal of Geometry and Physics 1 Archiv der Mathematik 1 Automatica 1 Journal of Computational and Applied Mathematics 1 Journal of Functional Analysis 1 Journal of the Korean Mathematical Society 1 Journal of the Mathematical Society of Japan 1 Monatshefte für Mathematik 1 Numerical Functional Analysis and Optimization 1 Pacific Journal of Mathematics 1 Semigroup Forum 1 Transactions of the American Mathematical Society 1 Zeitschrift für Analysis und ihre Anwendungen 1 Applied Mathematics and Mechanics. (English Edition) 1 Chinese Annals of Mathematics. Series B 1 Annals of Global Analysis and Geometry 1 International Journal of Mathematics 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of Nonlinear Science 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 St. Petersburg Mathematical Journal 1 Turkish Journal of Mathematics 1 Georgian Mathematical Journal 1 Opuscula Mathematica 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Taiwanese Journal of Mathematics 1 Fractional Calculus & Applied Analysis 1 Revista Matemática Complutense 1 Communications in Contemporary Mathematics 1 Qualitative Theory of Dynamical Systems 1 Nonlinear Analysis. Modelling and Control 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Intelligent and Fuzzy Systems 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Journal of the Indonesian Mathematical Society 1 Fixed Point Theory and Applications 1 Mathematical Biosciences and Engineering 1 Frontiers of Mathematics in China 1 Journal of Mathematical Inequalities 1 Banach Journal of Mathematical Analysis 1 International Journal of Biomathematics 1 Differential Equations and Applications 1 Science China. Mathematics 1 Journal of Spectral Theory 1 Communications in Mathematics 1 Journal of Applied Analysis and Computation ...and 8 more Serials all top 5 Cited in 26 Fields 217 Partial differential equations (35-XX) 36 Real functions (26-XX) 31 Topological groups, Lie groups (22-XX) 27 Biology and other natural sciences (92-XX) 24 Abstract harmonic analysis (43-XX) 23 Functional analysis (46-XX) 17 Global analysis, analysis on manifolds (58-XX) 16 Operator theory (47-XX) 15 Harmonic analysis on Euclidean spaces (42-XX) 14 Ordinary differential equations (34-XX) 8 Differential geometry (53-XX) 7 Integral equations (45-XX) 5 Several complex variables and analytic spaces (32-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Numerical analysis (65-XX) 4 Fluid mechanics (76-XX) 3 Functions of a complex variable (30-XX) 3 Potential theory (31-XX) 3 Quantum theory (81-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mechanics of deformable solids (74-XX) 2 Systems theory; control (93-XX) 1 Group theory and generalizations (20-XX) 1 Difference and functional equations (39-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year