## Niu, Pengcheng

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 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
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### 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
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### 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
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### 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)

### 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 0979.35035
Niu, Pengcheng; Zhang, Huiqing; Wang, Yong
2001
Large time behavior in a chemotaxis model with logistic growth and indirect signal production. Zbl 1435.35068
Zhang, Wenji; Niu, Pengcheng; Liu, Suying
2019
Optimal partial regularity for weak solutions of nonlinear sub-elliptic systems in Carnot groups. Zbl 1191.35086
Wang, Jialin; Niu, Pengcheng
2010
Partial regularity for degenerate subelliptic systems associated with Hörmander’s vector fields. Zbl 1208.35021
Gao, Dan; Niu, Pengcheng; Wang, Jialin
2010
Hardy-Sobolev type inequalities on the H-type group. Zbl 1078.22004
Han, Yazhou; Niu, Pengcheng
2005
Symmetry and nonexistence of positive solutions to fractional $$p$$-Laplacian equations. Zbl 1415.35286
Wu, Leyun; Niu, Pengcheng
2019
Periodic solution and almost periodic solution of impulsive Lasota-Wazewska model with multiple time-varying delays. Zbl 1268.34129
Wang, Li; Yu, Mei; Niu, Pengcheng
2012
A direct method of moving planes for a fully nonlinear nonlocal system. Zbl 1364.35095
Wang, Pengyan; Niu, Pengcheng
2017
Symmetry and nonexistence of positive solutions of integral systems with Hardy terms. Zbl 1307.35017
Li, Dongyan; Niu, Pengcheng; Zhuo, Ran
2015
Hardy-type inequalities and Pohozaev-type identities for a class of $$p$$-degenerate subelliptic operators and applications. Zbl 1033.47033
Zhang, Huiqing; Niu, Pengcheng
2003
Some Hardy-type inequalities for the generalized Baouendi-Grushin operators. Zbl 1074.35029
Niu, Pengcheng; Chen, Yanxia; Han, Yazhou
2004
Weighted Sobolev-Morrey estimates for hypoelliptic operators with drift on homogeneous groups. Zbl 1316.42029
Hou, Yuexia; Niu, Pengcheng
2015
Global compactness results for quasilinear elliptic problems with combined critical Sobolev-Hardy terms. Zbl 1205.35109
Li, Yuanyuan; Guo, Qianqiao; Niu, Pengcheng
2011
Positive solutions to nonlinear systems involving fully nonlinear fractional operators. Zbl 1439.35543
Niu, Pengcheng; Wu, Leyun; Ji, Xiaoxue
2018
Nonexistence of positive solutions for an integral equation related to the Hardy-Sobolev inequality. Zbl 1315.45003
Li, Dongyan; Niu, Pengcheng; Zhuo, Ran
2014
Nodal and positive solutions for singular semilinear elliptic equations with critical exponents in symmetric domains. Zbl 1159.35031
Guo, Qianqiao; Niu, Pengcheng
2008
Sharp weighted Hardy type inequalities and Hardy-Sobolev type inequalities on polarizable Carnot groups. Zbl 1160.35015
Wang, Jialin; Niu, Pengcheng
2008
Regularity for weak solutions to nondiagonal quasilinear degenerate elliptic systems. Zbl 1334.35046
Dong, Yan; Niu, Pengcheng
2016
Payne-Polya-Weinberger type inequalities for eigenvalues of nonelliptic operators. Zbl 1060.35092
Niu, Pengcheng; Zhang, Huiqing
2003
A Hardy inequality with remainder terms in the Heisenberg group and the weighted eigenvalue problem. Zbl 1133.26019
Dou, Jingbo; Niu, Pengcheng; Yuan, Zixia
2007
Symmetry and non-existence of positive solutions for PDE system with Navier boundary conditions on a half space. Zbl 1295.35220
Li, Dongyan; Niu, Pengcheng; Zhuo, Ran
2014
Explicit exact solutions for the RLW equation and the SRLW equation in two space dimensions. Zbl 0935.35161
1998
Estimates in Morrey spaces and Hölder continuity for weak solutions to degenerate elliptic systems. Zbl 1253.35052
Dong, Yan; Niu, Pengcheng
2012
Quasilinear elliptic problems with combined critical Sobolev-Hardy terms. Zbl 1292.35104
Li, Yuanyuan; Ruf, Bernhard; Guo, Qianqiao; Niu, Pengcheng
2013
Hardy inequalities with remainder terms for the generalized Baouendi-Grushin vector fields. Zbl 1190.26008
Dou, Jingbo; Guo, Qianqiao; Niu, Pengcheng
2010
Nonexistence for semilinear equations and systems in the Heisenberg group. Zbl 0941.35013
Niu, Pengcheng
1999
Symmetric properties of positive solutions for fully nonlinear nonlocal system. Zbl 1420.35462
Wang, Pengyan; Niu, Pengcheng
2019
Hardy-Sobolev type inequalities for generalized Baouendi-Grushin operators. Zbl 1135.35321
Niu, Pengcheng; Dou, Jingbo
2007
A Hardy type inequality and indefinite eigenvalue problems on the homogeneous group. Zbl 1020.35022
Han, Yazhou; Niu, Pengcheng; Luo, Xuebo
2002
Morrey estimates for parabolic nondivergence operators of Hörmander type. Zbl 1230.35142
Tang, Sufang; Niu, Pengcheng
2010
A Hopf type lemma and a CR type inversion for the generalized Greiner operator. Zbl 1058.35068
Niu, Pengcheng; Han, Yanwu; Han, Junqiang
2004
Several Hardy type inequalities with weights related to generalized Greiner operator. Zbl 1183.35007
Niu, Pengcheng; Ou, Yafei; Han, Junqiang
2010
Interior $$HW^{1,p}$$ estimates for divergence degenerate elliptic systems in Carnot groups. Zbl 1261.35145
Zhu, Maochun; Bramanti, Marco; Niu, Pengcheng
2013
On first order interpolation inequalities with weights on the Heisenberg group. Zbl 1266.26031
Han, Ya Zhou; Niu, Peng Cheng; Zhang, Shu Tao
2011
Hardy inequalities in half spaces of the Heisenberg group. Zbl 1158.35339
Han, Junqiang; Niu, Pengcheng; Qin, Wenji
2008
Interior regularity for degenerate elliptic equations with drift on homogeneous groups. Zbl 1279.22029
Feng, Xiaojing; Niu, Pengcheng
2013
$$L^{p}$$ estimates for weak solutions to nonlinear sub-elliptic systems related to Hörmander’s vector fields. Zbl 1182.35059
Wang, Jialin; Niu, Pengcheng; Cui, Xuewei
2009
Asymptotic behavior in a quasilinear chemotaxis-growth system with indirect signal production. Zbl 1439.35079
Zhang, Wenji; Liu, Suying; Niu, Pengcheng
2020
Interior $$W^{1,p}$$ regularity and Hölder continuity of weak solutions to a class of divergence Kolmogorov equations with discontinuous coefficients. Zbl 1364.35153
Zhu, Maochun; Niu, Pengcheng
2013
Existence results for the positive solutions of semilinear equations on the Heisenberg group. Zbl 0907.35043
Zhang, Ji Hui; Niu, Pengcheng
1998
Hardy’s theorem and rotations of several complex variables. Zbl 1212.32004
Tang, Sufang; Niu, Pengcheng
2009
Harnack estimates for a quasi-linear parabolic equation with a singular weight. Zbl 1228.35075
Wang, Yongzhong; Niu, Pengcheng; Cui, Xuewei
2011
Existence and multiplicity of solutions for critical elliptic equations with multi-polar potentials in symmetric domains. Zbl 1250.35083
Guo, Qianqiao; Han, Junqiang; Niu, Pengcheng
2012
Estimates in generalized Morrey spaces for nondivergence degenerate elliptic operators with discontinuous coefficients. Zbl 1266.42038
Wei, Na; Niu, Pengcheng; Tang, Sufang; Zhu, Maochun
2012
Maximum principles of nonhomogeneous subelliptic $$p$$-Laplace equations and applications. Zbl 1123.35007
Liu, Haifeng; Niu, Pengcheng
2006
Multiple solutions of some boundary value problems with parameters. Zbl 1219.34022
Feng, Xiaojing; Niu, Pengcheng; Guo, Qianqiao
2011
Some Hardy type inequalities on groups of Heisenberg type. Zbl 1103.35309
Han, Junqiang; Niu, Pengcheng; Han, Yazhou
2005
Positive solutions for singular elliptic equations with mixed Dirichlet-Neumann boundary conditions. Zbl 1286.35069
Li, Yuanyuan; Ruf, Bernhard; Guo, Qianqiao; Niu, Pengcheng
2014
Hardy’s inequalities and Pokhozhaev’s identities on the Heisenberg group. Zbl 1136.35336
Niu, Peng Cheng; Zhang, Hui Qing; Luo, Xue Bo
2003
Polar coordinates on $$H$$-type groups and applications. Zbl 1119.35125
Han, Junqian; Niu, Pengcheng
2006
Dirichlet eigenvalue ratios for the $$p$$-sub-Laplacian in the Carnot group. Zbl 1212.35492
Wei, Na; Niu, Pengcheng; Liu, Haifeng
2009
The existence of solutions for quasilinear elliptic problems with combined critical Sobolev-Hardy terms. Zbl 1237.35082
Li, Yuanyuan; Guo, Qianqiao; Niu, Pengcheng
2012
Some Hardy type inequalities in the Heisenberg group. Zbl 1050.35020
Han, Yazhou; Niu, Pengcheng
2003
Eigenvalue estimates of Laplacian and some generalizations. Zbl 1061.35062
Niu, Pengcheng; Qu, Jianbing; Han, Junqiang
2003
Multiplicity of solutions for singular semilinear elliptic equations with critical Hardy-Sobolev exponents. Zbl 1274.35082
Guo, Qianqiao; Niu, Pengcheng; Dou, Jingbo
2008
Some theorems on existence and uniqueness of fixed points for decreasing operators. Zbl 1186.54034
Guo, Qianqiao; Niu, Pengcheng
2009
Polar coordinates for the generalized Baouendi-Grushin operator and applications. Zbl 1164.35077
Dou, Jingbo; Niu, Pengcheng; Han, Junqiang
2007
A Hopf type principle and a strong maximum principle for the $$p$$-sub-Laplacian on the group of Heisenberg type. Zbl 1140.35396
Yuan, Zixia; Niu, Pengcheng
2007
An inverse eigenvalue problem for a nonlocal Sturm-Liouville operator. Zbl 1479.34054
Wu, Xuewen; Niu, Pengcheng; Wei, Guangsheng
2021
A Liouville theorem for the semilinear fractional CR covariant equation on the Heisenberg group. Zbl 1415.35071
Wang, Xinjing; Cui, Xuewei; Niu, Pengcheng
2019
Liouville’s theorem for a fractional elliptic system. Zbl 1407.35040
Wang, Pengyan; Niu, Pengcheng
2019
A Liouville type theorem to an extension problem relating to the Heisenberg group. Zbl 1395.35056
Wang, Xinjing; Niu, Pengcheng; Cui, Xuewei
2018
Interior regularity for degenerate equations with drift on homogeneous groups. Zbl 1418.35350
Du, Guangwei; Han, Junqiang; Niu, Pengcheng
2019
Green functions for weighted subelliptic $$p$$-Laplace operator constructed by Hörmander’s vector fields. Zbl 1347.35092
Wu, Leyun; Niu, Pengcheng
2016
Symmetric properties for Choquard equations involving fully nonlinear nonlocal operators. Zbl 1479.35930
Wang, Pengyan; Chen, Li; Niu, Pengcheng
2021
Regularity in Orlicz spaces for nondivergence degenerate elliptic equations in Carnot groups. Zbl 1297.35258
Niu, Pengcheng; Zhu, Maochun
2014
Local Sobolev-Morrey estimates for nondivergence operators with drift on homogeneous groups. Zbl 1302.35086
Feng, Xiaojing; Niu, Pengcheng
2014
Nonexistences of weak solutions for $$p$$-sub-Laplacian inequalities on the Heisenberg group. Zbl 1104.35330
Dou, Jingbo; Niu, Pengcheng
2006
Nontrivial solutions for a class of non-divergence equations on polarizable Carnot group. Zbl 1237.35032
Liu, Haifeng; Niu, Pengcheng
2006
Nonexistence of weak solutions for the $$p$$-degenerate subelliptic inequalities constructed by generalized Baouendi-Grushin vector fields. Zbl 1099.35184
Niu, Pengcheng; Dou, Jingbo; Zhang, Huiqing
2005
Mean value theorem and Pohozaev type identities of generalized Greiner operator and their applications. Zbl 0987.35007
Zhang, Huiqing; Niu, Pengcheng; Luo, Xuebo
2001
Existence of solutions for 2$$m$$th-order periodic boundary value problems. Zbl 1235.34062
Feng, Xiaojing; Niu, Pengcheng; Guo, Qianqiao
2011
Some Liouville type theorems for the $$p$$-sub-Laplacian on the group of Heisenberg type. Zbl 1174.35048
Yuan, Zixia; Niu, Pengcheng
2008
Global compactness results for singular quasilinear elliptic problems with critical Sobolev exponents and applications. Zbl 1167.35337
Guo, Qianqiao; Niu, Pengcheng; Wang, Yongzhong
2009
Existence of sign-changing solutions for semilinear singular elliptic equations with critical Sobolev exponents. Zbl 1181.35091
Guo, Qianqiao; Niu, Pengcheng; Cui, Xuewei
2010
Global Orlicz regularity for sub-Laplace equations on homogeneous groups. Zbl 1253.35194
Feng, Xiaojing; Niu, Pengcheng
2012
Semilinear degenerate evolution inequalities with singular potential constructed from the generalized Greiner vector fields. Zbl 1109.35029
Yuan, Zixia; Niu, Pengcheng
2007
Liouville type theorems of semilinear equations with square sum of vector fields. Zbl 1080.35003
Han, Yazhou; Luo, Xuebo; Niu, Pengcheng
2005
Semilinear equations with critical exponents on the Heisenberg group. Zbl 0923.22004
Niu, Pengcheng; Zhang, Jihui; Wen, Chenglin
1998
Asymptotics in a two-species chemotaxis system with logistic source. Zbl 1466.35051
Zhang, Wenji; Niu, Pengcheng
2021
A Carleman estimate and unique continuation for the sub-Laplacian in the Heisenberg group. Zbl 1045.22011
Zhang, Huiqing; Niu, Pengcheng; Wang, Shengjun
2003
High order Fefferman-Phong type inequalities in Carnot groups and regularity for degenerate elliptic operators plus a potential. Zbl 1470.35377
Niu, Pengcheng; Zhang, Kelei
2014
Gehring’s lemma for Orlicz functions in metric measure spaces and higher integrability for convex integral functionals. Zbl 1412.30150
Niu, Pengcheng; Wang, Huiju
2018
Several logarithmic Caffarelli-Kohn-Nirenberg inequalities and applications. Zbl 1373.35014
Feng, Tingfu; Niu, Pengcheng; Qiao, Jing
2018
Higher integrability for very weak solutions of obstacle problems to nonlinear subelliptic equations. Zbl 1389.35137
Du, Guangwei; Niu, Pengcheng
2017
Harnack inequalities for weighted subelliptic $$p$$-Laplace equations constructed by Hörmander vector fields. Zbl 1399.35146
Wu, Leyun; Niu, Pengcheng
2017
Hölder regularity of quasiminimizers to generalized Orlicz functional on the Heisenberg group. Zbl 1462.35118
Zhang, Junli; Niu, Pengcheng
2020
Remarks on Liouville type theorems for the 3D stationary MHD equations. Zbl 1456.35164
Li, Zhouyu; Liu, Pan; Niu, Pengcheng
2020
Notes on Liouville type theorems for the stationary compressible Navier-Stokes equations. Zbl 1458.35089
Li, Zhouyu; Niu, Pengcheng
2021
Global Sobolev-Morrey estimates for hypoelliptic operators with drift on homogeneous groups. Zbl 07449104
Niu, Pengcheng; Feng, Xiaojing
2012
An inverse eigenvalue problem for a nonlocal Sturm-Liouville operator. Zbl 1479.34054
Wu, Xuewen; Niu, Pengcheng; Wei, Guangsheng
2021
Symmetric properties for Choquard equations involving fully nonlinear nonlocal operators. Zbl 1479.35930
Wang, Pengyan; Chen, Li; Niu, Pengcheng
2021
Asymptotics in a two-species chemotaxis system with logistic source. Zbl 1466.35051
Zhang, Wenji; Niu, Pengcheng
2021
Notes on Liouville type theorems for the stationary compressible Navier-Stokes equations. Zbl 1458.35089
Li, Zhouyu; Niu, Pengcheng
2021
Asymptotic behavior in a quasilinear chemotaxis-growth system with indirect signal production. Zbl 1439.35079
Zhang, Wenji; Liu, Suying; Niu, Pengcheng
2020
Hölder regularity of quasiminimizers to generalized Orlicz functional on the Heisenberg group. Zbl 1462.35118
Zhang, Junli; Niu, Pengcheng
2020
Remarks on Liouville type theorems for the 3D stationary MHD equations. Zbl 1456.35164
Li, Zhouyu; Liu, Pan; Niu, Pengcheng
2020
Large time behavior in a chemotaxis model with logistic growth and indirect signal production. Zbl 1435.35068
Zhang, Wenji; Niu, Pengcheng; Liu, Suying
2019
Symmetry and nonexistence of positive solutions to fractional $$p$$-Laplacian equations. Zbl 1415.35286
Wu, Leyun; Niu, Pengcheng
2019
Symmetric properties of positive solutions for fully nonlinear nonlocal system. Zbl 1420.35462
Wang, Pengyan; Niu, Pengcheng
2019
A Liouville theorem for the semilinear fractional CR covariant equation on the Heisenberg group. Zbl 1415.35071
Wang, Xinjing; Cui, Xuewei; Niu, Pengcheng
2019
Liouville’s theorem for a fractional elliptic system. Zbl 1407.35040
Wang, Pengyan; Niu, Pengcheng
2019
Interior regularity for degenerate equations with drift on homogeneous groups. Zbl 1418.35350
Du, Guangwei; Han, Junqiang; Niu, Pengcheng
2019
Positive solutions to nonlinear systems involving fully nonlinear fractional operators. Zbl 1439.35543
Niu, Pengcheng; Wu, Leyun; Ji, Xiaoxue
2018
A Liouville type theorem to an extension problem relating to the Heisenberg group. Zbl 1395.35056
Wang, Xinjing; Niu, Pengcheng; Cui, Xuewei
2018
Gehring’s lemma for Orlicz functions in metric measure spaces and higher integrability for convex integral functionals. Zbl 1412.30150
Niu, Pengcheng; Wang, Huiju
2018
Several logarithmic Caffarelli-Kohn-Nirenberg inequalities and applications. Zbl 1373.35014
Feng, Tingfu; Niu, Pengcheng; Qiao, Jing
2018
A direct method of moving planes for a fully nonlinear nonlocal system. Zbl 1364.35095
Wang, Pengyan; Niu, Pengcheng
2017
Higher integrability for very weak solutions of obstacle problems to nonlinear subelliptic equations. Zbl 1389.35137
Du, Guangwei; Niu, Pengcheng
2017
Harnack inequalities for weighted subelliptic $$p$$-Laplace equations constructed by Hörmander vector fields. Zbl 1399.35146
Wu, Leyun; Niu, Pengcheng
2017
Regularity for weak solutions to nondiagonal quasilinear degenerate elliptic systems. Zbl 1334.35046
Dong, Yan; Niu, Pengcheng
2016
Green functions for weighted subelliptic $$p$$-Laplace operator constructed by Hörmander’s vector fields. Zbl 1347.35092
Wu, Leyun; Niu, Pengcheng
2016
Symmetry and nonexistence of positive solutions of integral systems with Hardy terms. Zbl 1307.35017
Li, Dongyan; Niu, Pengcheng; Zhuo, Ran
2015
Weighted Sobolev-Morrey estimates for hypoelliptic operators with drift on homogeneous groups. Zbl 1316.42029
Hou, Yuexia; Niu, Pengcheng
2015
Nonexistence of positive solutions for an integral equation related to the Hardy-Sobolev inequality. Zbl 1315.45003
Li, Dongyan; Niu, Pengcheng; Zhuo, Ran
2014
Symmetry and non-existence of positive solutions for PDE system with Navier boundary conditions on a half space. Zbl 1295.35220
Li, Dongyan; Niu, Pengcheng; Zhuo, Ran
2014
Positive solutions for singular elliptic equations with mixed Dirichlet-Neumann boundary conditions. Zbl 1286.35069
Li, Yuanyuan; Ruf, Bernhard; Guo, Qianqiao; Niu, Pengcheng
2014
Regularity in Orlicz spaces for nondivergence degenerate elliptic equations in Carnot groups. Zbl 1297.35258
Niu, Pengcheng; Zhu, Maochun
2014
Local Sobolev-Morrey estimates for nondivergence operators with drift on homogeneous groups. Zbl 1302.35086
Feng, Xiaojing; Niu, Pengcheng
2014
High order Fefferman-Phong type inequalities in Carnot groups and regularity for degenerate elliptic operators plus a potential. Zbl 1470.35377
Niu, Pengcheng; Zhang, Kelei
2014
Quasilinear elliptic problems with combined critical Sobolev-Hardy terms. Zbl 1292.35104
Li, Yuanyuan; Ruf, Bernhard; Guo, Qianqiao; Niu, Pengcheng
2013
Interior $$HW^{1,p}$$ estimates for divergence degenerate elliptic systems in Carnot groups. Zbl 1261.35145
Zhu, Maochun; Bramanti, Marco; Niu, Pengcheng
2013
Interior regularity for degenerate elliptic equations with drift on homogeneous groups. Zbl 1279.22029
Feng, Xiaojing; Niu, Pengcheng
2013
Interior $$W^{1,p}$$ regularity and Hölder continuity of weak solutions to a class of divergence Kolmogorov equations with discontinuous coefficients. Zbl 1364.35153
Zhu, Maochun; Niu, Pengcheng
2013
Periodic solution and almost periodic solution of impulsive Lasota-Wazewska model with multiple time-varying delays. Zbl 1268.34129
Wang, Li; Yu, Mei; Niu, Pengcheng
2012
Estimates in Morrey spaces and Hölder continuity for weak solutions to degenerate elliptic systems. Zbl 1253.35052
Dong, Yan; Niu, Pengcheng
2012
Existence and multiplicity of solutions for critical elliptic equations with multi-polar potentials in symmetric domains. Zbl 1250.35083
Guo, Qianqiao; Han, Junqiang; Niu, Pengcheng
2012
Estimates in generalized Morrey spaces for nondivergence degenerate elliptic operators with discontinuous coefficients. Zbl 1266.42038
Wei, Na; Niu, Pengcheng; Tang, Sufang; Zhu, Maochun
2012
The existence of solutions for quasilinear elliptic problems with combined critical Sobolev-Hardy terms. Zbl 1237.35082
Li, Yuanyuan; Guo, Qianqiao; Niu, Pengcheng
2012
Global Orlicz regularity for sub-Laplace equations on homogeneous groups. Zbl 1253.35194
Feng, Xiaojing; Niu, Pengcheng
2012
Global Sobolev-Morrey estimates for hypoelliptic operators with drift on homogeneous groups. Zbl 07449104
Niu, Pengcheng; Feng, Xiaojing
2012
Global compactness results for quasilinear elliptic problems with combined critical Sobolev-Hardy terms. Zbl 1205.35109
Li, Yuanyuan; Guo, Qianqiao; Niu, Pengcheng
2011
On first order interpolation inequalities with weights on the Heisenberg group. Zbl 1266.26031
Han, Ya Zhou; Niu, Peng Cheng; Zhang, Shu Tao
2011
Harnack estimates for a quasi-linear parabolic equation with a singular weight. Zbl 1228.35075
Wang, Yongzhong; Niu, Pengcheng; Cui, Xuewei
2011
Multiple solutions of some boundary value problems with parameters. Zbl 1219.34022
Feng, Xiaojing; Niu, Pengcheng; Guo, Qianqiao
2011
Existence of solutions for 2$$m$$th-order periodic boundary value problems. Zbl 1235.34062
Feng, Xiaojing; Niu, Pengcheng; Guo, Qianqiao
2011
Optimal partial regularity for weak solutions of nonlinear sub-elliptic systems in Carnot groups. Zbl 1191.35086
Wang, Jialin; Niu, Pengcheng
2010
Partial regularity for degenerate subelliptic systems associated with Hörmander’s vector fields. Zbl 1208.35021
Gao, Dan; Niu, Pengcheng; Wang, Jialin
2010
Hardy inequalities with remainder terms for the generalized Baouendi-Grushin vector fields. Zbl 1190.26008
Dou, Jingbo; Guo, Qianqiao; Niu, Pengcheng
2010
Morrey estimates for parabolic nondivergence operators of Hörmander type. Zbl 1230.35142
Tang, Sufang; Niu, Pengcheng
2010
Several Hardy type inequalities with weights related to generalized Greiner operator. Zbl 1183.35007
Niu, Pengcheng; Ou, Yafei; Han, Junqiang
2010
Existence of sign-changing solutions for semilinear singular elliptic equations with critical Sobolev exponents. Zbl 1181.35091
Guo, Qianqiao; Niu, Pengcheng; Cui, Xuewei
2010
$$L^{p}$$ estimates for weak solutions to nonlinear sub-elliptic systems related to Hörmander’s vector fields. Zbl 1182.35059
Wang, Jialin; Niu, Pengcheng; Cui, Xuewei
2009
Hardy’s theorem and rotations of several complex variables. Zbl 1212.32004
Tang, Sufang; Niu, Pengcheng
2009
Dirichlet eigenvalue ratios for the $$p$$-sub-Laplacian in the Carnot group. Zbl 1212.35492
Wei, Na; Niu, Pengcheng; Liu, Haifeng
2009
Some theorems on existence and uniqueness of fixed points for decreasing operators. Zbl 1186.54034
Guo, Qianqiao; Niu, Pengcheng
2009
Global compactness results for singular quasilinear elliptic problems with critical Sobolev exponents and applications. Zbl 1167.35337
Guo, Qianqiao; Niu, Pengcheng; Wang, Yongzhong
2009
Nodal and positive solutions for singular semilinear elliptic equations with critical exponents in symmetric domains. Zbl 1159.35031
Guo, Qianqiao; Niu, Pengcheng
2008
Sharp weighted Hardy type inequalities and Hardy-Sobolev type inequalities on polarizable Carnot groups. Zbl 1160.35015
Wang, Jialin; Niu, Pengcheng
2008
Hardy inequalities in half spaces of the Heisenberg group. Zbl 1158.35339
Han, Junqiang; Niu, Pengcheng; Qin, Wenji
2008
Multiplicity of solutions for singular semilinear elliptic equations with critical Hardy-Sobolev exponents. Zbl 1274.35082
Guo, Qianqiao; Niu, Pengcheng; Dou, Jingbo
2008
Some Liouville type theorems for the $$p$$-sub-Laplacian on the group of Heisenberg type. Zbl 1174.35048
Yuan, Zixia; Niu, Pengcheng
2008
A Hardy inequality with remainder terms in the Heisenberg group and the weighted eigenvalue problem. Zbl 1133.26019
Dou, Jingbo; Niu, Pengcheng; Yuan, Zixia
2007
Hardy-Sobolev type inequalities for generalized Baouendi-Grushin operators. Zbl 1135.35321
Niu, Pengcheng; Dou, Jingbo
2007
Polar coordinates for the generalized Baouendi-Grushin operator and applications. Zbl 1164.35077
Dou, Jingbo; Niu, Pengcheng; Han, Junqiang
2007
A Hopf type principle and a strong maximum principle for the $$p$$-sub-Laplacian on the group of Heisenberg type. Zbl 1140.35396
Yuan, Zixia; Niu, Pengcheng
2007
Semilinear degenerate evolution inequalities with singular potential constructed from the generalized Greiner vector fields. Zbl 1109.35029
Yuan, Zixia; Niu, Pengcheng
2007
Maximum principles of nonhomogeneous subelliptic $$p$$-Laplace equations and applications. Zbl 1123.35007
Liu, Haifeng; Niu, Pengcheng
2006
Polar coordinates on $$H$$-type groups and applications. Zbl 1119.35125
Han, Junqian; Niu, Pengcheng
2006
Nonexistences of weak solutions for $$p$$-sub-Laplacian inequalities on the Heisenberg group. Zbl 1104.35330
Dou, Jingbo; Niu, Pengcheng
2006
Nontrivial solutions for a class of non-divergence equations on polarizable Carnot group. Zbl 1237.35032
Liu, Haifeng; Niu, Pengcheng
2006
Hardy-Sobolev type inequalities on the H-type group. Zbl 1078.22004
Han, Yazhou; Niu, Pengcheng
2005
Some Hardy type inequalities on groups of Heisenberg type. Zbl 1103.35309
Han, Junqiang; Niu, Pengcheng; Han, Yazhou
2005
Nonexistence of weak solutions for the $$p$$-degenerate subelliptic inequalities constructed by generalized Baouendi-Grushin vector fields. Zbl 1099.35184
Niu, Pengcheng; Dou, Jingbo; Zhang, Huiqing
2005
Liouville type theorems of semilinear equations with square sum of vector fields. Zbl 1080.35003
Han, Yazhou; Luo, Xuebo; Niu, Pengcheng
2005
Some Hardy-type inequalities for the generalized Baouendi-Grushin operators. Zbl 1074.35029
Niu, Pengcheng; Chen, Yanxia; Han, Yazhou
2004
A Hopf type lemma and a CR type inversion for the generalized Greiner operator. Zbl 1058.35068
Niu, Pengcheng; Han, Yanwu; Han, Junqiang
2004
Hardy-type inequalities and Pohozaev-type identities for a class of $$p$$-degenerate subelliptic operators and applications. Zbl 1033.47033
Zhang, Huiqing; Niu, Pengcheng
2003
Payne-Polya-Weinberger type inequalities for eigenvalues of nonelliptic operators. Zbl 1060.35092
Niu, Pengcheng; Zhang, Huiqing
2003
Hardy’s inequalities and Pokhozhaev’s identities on the Heisenberg group. Zbl 1136.35336
Niu, Peng Cheng; Zhang, Hui Qing; Luo, Xue Bo
2003
Some Hardy type inequalities in the Heisenberg group. Zbl 1050.35020
Han, Yazhou; Niu, Pengcheng
2003
Eigenvalue estimates of Laplacian and some generalizations. Zbl 1061.35062
Niu, Pengcheng; Qu, Jianbing; Han, Junqiang
2003
A Carleman estimate and unique continuation for the sub-Laplacian in the Heisenberg group. Zbl 1045.22011
Zhang, Huiqing; Niu, Pengcheng; Wang, Shengjun
2003
A Hardy type inequality and indefinite eigenvalue problems on the homogeneous group. Zbl 1020.35022
Han, Yazhou; Niu, Pengcheng; Luo, Xuebo
2002
Hardy type and Rellich type inequalities on the Heisenberg group. Zbl 0979.35035
Niu, Pengcheng; Zhang, Huiqing; Wang, Yong
2001
Mean value theorem and Pohozaev type identities of generalized Greiner operator and their applications. Zbl 0987.35007
Zhang, Huiqing; Niu, Pengcheng; Luo, Xuebo
2001
Nonexistence for semilinear equations and systems in the Heisenberg group. Zbl 0941.35013
Niu, Pengcheng
1999
Explicit exact solutions for the RLW equation and the SRLW equation in two space dimensions. Zbl 0935.35161
1998
Existence results for the positive solutions of semilinear equations on the Heisenberg group. Zbl 0907.35043
Zhang, Ji Hui; Niu, Pengcheng
1998
Semilinear equations with critical exponents on the Heisenberg group. Zbl 0923.22004
Niu, Pengcheng; Zhang, Jihui; Wen, Chenglin
1998
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### 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
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### 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
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### 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)