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## Chen, Haibo

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 Author ID: chen.haibo Published as: Chen, H.; Chen, Hai Bo; Chen, Hai-Bo; Chen, Haibo Homepage: http://math.csu.edu.cn/info/1537/5020.htm
 Documents Indexed: 208 Publications since 1997
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#### Co-Authors

 1 single-authored 20 Che, Guofeng 20 Shi, Hongxia 18 Xu, Liping 18 Zhao, Yulin 17 Sun, Juntao 14 Liu, Hongliang 13 Yang, Liu 11 Liu, Yirong 11 Xie, Weihong 8 Khoutir, Sofiane 8 Li, Peiluan 7 Wang, Haihua 7 Yang, Xiaoxia 6 Cao, Jianxin 6 Shao, Liuyang 5 Almuaalemi, Belal O. M. 5 Nieto Roig, Juan Jose 5 Wu, Yusen 5 Zhang, Qi 4 Du, Chaoxiong 4 Wen, Zhixiong 4 Yuan, Yueding 4 Zhang, Qiming 3 Liu, Zhisu 3 Luo, Jiaowan 3 Xiao, Qizhen 3 Yu, Min 3 Yu, Mingzhu 3 Zhou, Tiejun 2 Chu, Jifeng 2 Huang, Lihong 2 Liu, Xiaonan 2 Qin, Bin 2 Wu, Tsungfang 2 Xu, Chengjie 2 Zeng, Xianwu 1 Cai, Zuowei 1 Deng, Jin 1 He, Zhenting 1 Huang, Li 1 Li, Daogai 1 Liu, Cheng 1 Lou, Jiaowan 1 Luo, Chaoliang 1 Luo, Liping 1 Luo, Zhenguo 1 Mi, Heilong 1 Otero-Novoa, Mario 1 Shi, Xiaoyan 1 Tang, Hongwu 1 Tang, Junmin 1 Wang, Gangwei 1 Wang, Wenbo 1 Wang, Xiaohua 1 Wang, Zewei 1 Xiong, Ying 1 Yang, Weifeng 1 Ye, Guobing 1 Yu, Pei 1 Yuan, Pingzhi 1 Yuan, Yuejin 1 Zhou, Junjun
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#### Serials

 14 Applied Mathematics and Computation 12 Computers & Mathematics with Applications 11 Journal of Applied Mathematics and Computing 10 Journal of Mathematical Analysis and Applications 10 Advances in Difference Equations 10 Boundary Value Problems 9 Applied Mathematics Letters 8 Mathematical Methods in the Applied Sciences 8 Electronic Journal of Differential Equations (EJDE) 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Mathematical and Computer Modelling 4 Journal of Biomathematics 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Journal of the Korean Mathematical Society 3 Mathematische Nachrichten 3 Bulletin of the Iranian Mathematical Society 3 Mathematica Applicata 3 Topological Methods in Nonlinear Analysis 3 Electronic Journal of Qualitative Theory of Differential Equations 2 Applicable Analysis 2 Indian Journal of Pure & Applied Mathematics 2 Rocky Mountain Journal of Mathematics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Journal of Computational and Applied Mathematics 2 Journal of Differential Equations 2 Bulletin of the Belgian Mathematical Society - Simon Stevin 2 Differential Equations and Dynamical Systems 2 Abstract and Applied Analysis 2 Communications in Nonlinear Science and Numerical Simulation 2 Nonlinear Analysis. Real World Applications 2 Journal of Applied Mathematics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Communications on Pure and Applied Analysis 2 Mediterranean Journal of Mathematics 2 Journal of Applied Analysis and Computation 1 Bulletin of the Australian Mathematical Society 1 Journal of Mathematical Physics 1 Acta Mathematica Sinica 1 Funkcialaj Ekvacioj. Serio Internacia 1 Journal of Number Theory 1 Mathematics and Computers in Simulation 1 Mathematica Slovaca 1 Results in Mathematics 1 Acta Mathematicae Applicatae Sinica 1 Bulletin of the Korean Mathematical Society 1 Natural Science Journal of Xiangtan University 1 Mathematics in Practice and Theory 1 Chinese Annals of Mathematics. Series A 1 Acta Applicandae Mathematicae 1 Journal of Systems Science and Mathematical Sciences 1 Annals of Differential Equations 1 Asymptotic Analysis 1 Turkish Journal of Mathematics 1 Bulletin des Sciences Mathématiques 1 Arab Journal of Mathematical Sciences 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 Taiwanese Journal of Mathematics 1 Acta Mathematica Sinica. English Series 1 Journal of Sichuan Normal University. Natural Science 1 Journal of Changsha Communications University 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms 1 Acta Mathematica Scientia. Series B. (English Edition) 1 International Journal of Number Theory 1 JP Journal of Fixed Point Theory and Applications 1 Journal of Nonlinear Science and Applications 1 Science China. Mathematics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Journal of Applied Mathematics & Informatics 1 Advances in Nonlinear Analysis
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#### Fields

 95 Partial differential equations (35-XX) 87 Ordinary differential equations (34-XX) 25 Global analysis, analysis on manifolds (58-XX) 22 Operator theory (47-XX) 14 Dynamical systems and ergodic theory (37-XX) 8 Biology and other natural sciences (92-XX) 6 Measure and integration (28-XX) 6 Difference and functional equations (39-XX) 5 Number theory (11-XX) 2 Real functions (26-XX) 2 Integral equations (45-XX) 2 Numerical analysis (65-XX) 1 Potential theory (31-XX) 1 Computer science (68-XX)

#### Citations contained in zbMATH Open

151 Publications have been cited 1,223 times in 773 Documents Cited by Year
The multiplicity of solutions for perturbed second-order Hamiltonian systems with impulsive effects. Zbl 1198.34036
Sun, Juntao; Chen, Haibo; Nieto, Juan J.; Otero-Novoa, Mario
2010
On ground state solutions for some non-autonomous Schrödinger-Poisson systems. Zbl 1241.35057
Sun, Juntao; Chen, Haibo; Nieto, Juan J.
2012
Homoclinic solutions for a class of subquadratic second-order Hamiltonian systems. Zbl 1230.37079
Sun, Juntao; Chen, Haibo; Nieto, Juan J.
2011
The existence and multiplicity of solutions for an impulsive differential equation with two parameters via a variational method. Zbl 1198.34037
Sun, Juntao; Chen, Haibo; Yang, Liu
2010
Infinitely many solutions for second-order Hamiltonian system with impulsive effects. Zbl 1225.37070
Sun, Juntao; Chen, Haibo; Nieto, Juan J.
2011
Variational method to the impulsive equation with Neumann boundary conditions. Zbl 1184.34039
Sun, Juntao; Chen, Haibo
2009
Multiple solutions for a coupled system of nonlinear fractional differential equations via variational methods. Zbl 1338.34033
Zhao, Yulin; Chen, Haibo; Qin, Bin
2015
Nontrivial solutions for Kirchhoff-type problems with a parameter. Zbl 1326.35101
Xu, Liping; Chen, Haibo
2016
Impulsive fractional differential equations with nonlinear boundary conditions. Zbl 1255.34006
Cao, Jianxin; Chen, Haibo
2012
Multiplicity of solutions for a class of impulsive differential equations with Dirichlet boundary conditions via variant fountain theorems. Zbl 1208.34031
Sun, Juntao; Chen, Haibo
2010
Unique positive solutions for fractional differential equation boundary value problems. Zbl 1200.34008
Yang, Liu; Chen, Haibo
2010
Existence of positive solutions for nonlinear fractional functional differential equation. Zbl 1277.34111
Zhao, Yulin; Chen, Haibo; Huang, Li
2012
Periodic solution generated by impulses for singular differential equations. Zbl 1304.34076
Sun, Juntao; Chu, Jifeng; Chen, Haibo
2013
Existence of multiple positive solutions for $$m$$-point boundary value problems in Banach spaces. Zbl 1147.34019
Zhao, Yu-Lin; Chen, Hai-Bo
2008
Stability and bifurcations of limit cycles of the equator in a class of cubic polynomial systems. Zbl 1084.34523
Liu, Yirong; Chen, Haibo
2002
Formulas of singular point quantities and the first 10 saddle quantities for a class of cubic systems. Zbl 1014.34021
Liu, Yirong; Chen, Haibo
2002
Multiple solutions for superlinear Schrödinger-Poisson system with sign-changing potential and nonlinearity. Zbl 1369.35020
Liu, Hongliang; Chen, Haibo; Yang, Xiaoxia
2014
Variational methods to fourth-order impulsive differential equations. Zbl 1218.34029
Sun, Juntao; Chen, Haibo; Yang, Liu
2011
Homoclinic orbits for a class of first-order nonperiodic asymptotically quadratic Hamiltonian systems with spectrum point zero. Zbl 1218.37081
Sun, Juntao; Chen, Haibo; Nieto, Juan J.
2011
An application of variational method to second-order impulsive differential equation on the half-line. Zbl 1213.34020
Chen, Haibo; Sun, Juntao
2010
The multiplicity of solutions for fourth-order equations generated from a boundary condition. Zbl 1223.34026
Yang, Liu; Chen, Haibo; Yang, Xiaoxia
2011
Positive solutions of asymptotically linear Schrödinger-Poisson systems with a radial potential vanishing at infinity. Zbl 1202.35083
Sun, Juntao; Chen, Haibo; Yang, Liu
2011
Existence and multiplicity of solutions for a class of generalized quasilinear Schrödinger equations. Zbl 1376.35017
Shi, Hongxia; Chen, Haibo
2017
Existence results for fractional $$q$$-difference equations with nonlocal $$q$$-integral boundary conditions. Zbl 1380.39011
Zhao, Yulin; Chen, Haibo; Zhang, Qiming
2013
Nonlocal boundary value problem for impulsive differential equations of fractional order. Zbl 1219.34011
Yang, Liu; Chen, Haibo
2011
Ground-state solution for a class of biharmonic equations including critical exponent. Zbl 1332.35096
Liu, Hongliang; Chen, Haibo
2015
Shape optimization of sound barrier using an isogeometric fast multipole boundary element method in two dimensions. Zbl 1403.76092
Liu, Cheng; Chen, Leilei; Zhao, Wenchang; Chen, Haibo
2017
Multiplicity of small negative-energy solutions for a class of nonlinear Schrödinger-Poisson systems. Zbl 1335.35053
Xu, Liping; Chen, Haibo
2014
Triple positive solutions of boundary value problems for $$p$$-Laplacian impulsive dynamic equations on time scales. Zbl 1144.34318
Chen, Haibo; Wang, Haihua
2008
Ground state solutions for Kirchhoff-type equations with a general nonlinearity in the critical growth. Zbl 1404.35141
Xu, Li-Ping; Chen, Haibo
2018
Generalized quasilinear asymptotically periodic Schrödinger equations with critical growth. Zbl 1359.35076
Shi, Hongxia; Chen, Haibo
2016
Positive solutions for generalized quasilinear Schrödinger equations with potential vanishing at infinity. Zbl 1347.35116
Shi, Hongxia; Chen, Haibo
2016
Multiplicity results for fourth order elliptic equations of Kirchhoff-type. Zbl 1349.35098
Xu, Liping; Chen, Haibo
2015
Existence and multiplicity of solutions for fourth-order elliptic equations of Kirchhoff type via genus theory. Zbl 1304.35260
Xu, Liping; Chen, Haibo
2014
Multiple positive solutions of a singular semipositone integral boundary value problem for fractional $$q$$-derivatives equation. Zbl 1274.34079
Zhao, Yulin; Ye, Guobing; Chen, Haibo
2013
Infinitely many homoclinic solutions for some second order Hamiltonian systems. Zbl 1225.34051
Yang, Liu; Chen, Haibo; Sun, Juntao
2011
Limit cycles of the equator in a quintic polynomial system. Zbl 1048.34063
Chen, Haibo; Liu, Yirong
2003
Infinitely many solutions for fractional differential system via variational method. Zbl 1346.34016
Zhao, Yulin; Chen, Haibo; Zhang, Qiming
2016
Least energy nodal solution for quasilinear biharmonic equations with critical exponent in $$\mathbb{R}^N$$. Zbl 1322.35017
Liu, Hongliang; Chen, Haibo
2015
The limit cycles of a general Kolmogorov system. Zbl 1252.34037
Yuan, Yueding; Chen, Haibo; Du, Chaoxiong; Yuan, Yuejin
2012
Linear recursion formulas of quantities of singular point and applications. Zbl 1053.65051
Chen, Haibo; Liu, Yirong
2004
Ground state solutions for asymptotically periodic coupled Kirchhoff-type systems with critical growth. Zbl 1342.35102
Shi, Hongxia; Chen, Haibo
2016
Boundary value problem for second-order impulsive functional differential equations. Zbl 1193.34134
Wang, Haihua; Chen, Haibo
2007
Successive iteration and positive solutions for boundary value problem of nonlinear fractional $$q$$-difference equation. Zbl 1296.39003
Yang, Liu; Chen, Haibo; Luo, Liping; Luo, Zhenguo
2013
The fractional dimensions of intersections of the Besicovitch sets and the Erdős-Rényi sets. Zbl 1261.28007
Chen, Haibo; Wen, Zhixiong
2013
Multiplicity of solutions to two-point boundary value problems for second-order impulsive differential equations. Zbl 1165.34329
Zhao, Yulin; Chen, Haibo
2008
Positive solutions for the nonhomogeneous three-point boundary value problem of second-order differential equations. Zbl 1137.34319
Chen, Haibo
2007
Center conditions and bifurcation of limit cycles at degenerate singular points in a quintic polynomial differential system. Zbl 1083.34027
Chen, Haibo; Liu, Yirong; Zeng, Xianwu
2005
Multiple nontrivial solutions for a nonhomogeneous Schrödinger-Poisson system in $$\mathbb{R}^3$$. Zbl 1413.35152
Khoutir, Sofiane; Chen, Haibo
2017
Existence and multiplicity of systems of Kirchhoff-type equations with general potentials. Zbl 1359.35049
Che, Guofeng; Chen, Haibo
2017
Multiple solutions for the nonhomogeneous fourth order elliptic equations of Kirchhoff-type. Zbl 1357.35113
Xu, Liping; Chen, Haibo
2015
Positive periodic solution for a multispecies competition-predator system with Holling III functional response and time delays. Zbl 1206.92041
Cai, Zuowei; Huang, Lihong; Chen, Haibo
2011
Double positive solutions of boundary value problems for $$p$$-Laplacian impulsive functional dynamic equations on time scales. Zbl 1152.39314
Chen, Haibo; Wang, Haihua; Zhang, Qi; Zhou, Tiejun
2007
Multiplicity for a 4-sublinear Schrödinger-Poisson system with sign-changing potential via Morse theory. Zbl 1336.35319
Liu, Hongliang; Chen, Haibo; Wang, Gangwei
2016
Variational methods to the second-order impulsive differential equation with Dirichlet boundary value problem. Zbl 1217.34042
Liu, Zhisu; Chen, Haibo; Zhou, Tiejun
2011
Multiple positive solutions of n-point boundary value problems for p-Laplacian impulsive dynamic equations on time scales. Zbl 1205.34132
Li, Peiluan; Chen, Haibo; Wu, Yusen
2010
Three-point boundary value problems for second-order ordinary differential equations in Banach spaces. Zbl 1152.34362
Chen, Haibo; Li, Peiluan
2008
Existence and multiplicity of positive solutions for fractional Laplacian systems with nonlinear coupling. Zbl 1428.35494
Che, Guofeng; Chen, Haibo; Wu, Tsung-Fang
2019
Ground state solutions for the nonlinear Schrödinger-Poisson systems with sum of periodic and vanishing potentials. Zbl 1380.35098
Xie, Weihong; Chen, Haibo; Shi, Hongxia
2018
Nontrivial solutions for impulsive fractional differential equations via Morse theory. Zbl 1411.34026
Zhao, Yulin; Chen, Haibo; Xu, Chengjie
2017
Existence and concentration result for a quasilinear Schrödinger equation with critical growth. Zbl 1383.35092
Shao, Liuyang; Chen, Haibo
2017
Multiple solutions for Schrödinger-Poisson systems with sign-changing potential and critical nonlinearity. Zbl 1355.35064
Shao, Liuyang; Chen, Haibo
2016
Existence of infinitely many high energy solutions for a fractional Schrödinger equation in $$\mathbb{R}^N$$. Zbl 1386.35444
Khoutir, Sofiane; Chen, Haibo
2016
Existence and multiplicity of positive solutions for nonhomogeneous boundary value problems with fractional $$q$$-derivatives. Zbl 1296.34048
Zhao, Yulin; Chen, Haibo; Zhang, Qiming
2013
Periodic solutions of second-order differential equations with multiple delays. Zbl 1291.34112
Chen, Haibo; Tang, Hongwu; Sun, Juntao
2012
Existence of multiple solutions for three-point boundary-value problems on infinite intervals in Banach spaces. Zbl 1244.34023
Zhao, Yulin; Chen, Haibo; Xu, Chengjie
2012
Multiplicity of solutions for a fourth-order impulsive differential equation via variational methods. Zbl 1213.34048
Sun, Juntao; Chen, Haibo; Zhou, Tiejun
2010
The bifurcation of limit cycles in $$Z_n$$-equivariant vector fields. Zbl 1208.34047
Du, Chaoxiong; Liu, Yirong; Chen, Haibo
2010
Multiple positive solutions for multi-point boundary value problems with a $$p$$-Laplacian on the half-line. Zbl 1202.34057
Sun, Juntao; Chen, Haibo
2010
Existence and multiplicity of normalized solutions for the nonlinear Kirchhoff type problems. Zbl 1422.35057
Xie, Weihong; Chen, Haibo
2018
Existence of nontrivial solutions for a perturbation of Choquard equation with Hardy-Littlewood-Sobolev upper critical exponent. Zbl 1393.35017
Su, Yu; Chen, Haibo
2018
Ground state solutions for a class of semilinear elliptic systems with sum of periodic and vanishing potentials. Zbl 1400.35135
Che, Guofeng; Chen, Haibo
2018
Multiple solutions for the Schrödinger equations with sign-changing potential and Hartree nonlinearity. Zbl 1390.35055
Che, Guofeng; Chen, Haibo
2018
Noether’s theorem of fractional Birkhoffian systems. Zbl 1387.26019
Zhang, Hong-Bin; Chen, Hai-Bo
2017
Ground state solutions for resonant cooperative elliptic systems with general superlinear terms. Zbl 1355.35065
Shi, Hongxia; Chen, Haibo
2016
Multiplicity of small negative-energy solutions for a class of semilinear elliptic systems. Zbl 1343.35095
Che, Guofeng; Chen, Haibo
2016
Multiplicity results for a class of boundary value problems with impulsive effects. Zbl 1359.34035
Shi, Hongxia; Chen, Haibo
2016
Existence of infinitely many solutions for generalized Schrödinger-Poisson system. Zbl 1304.35271
Xu, Liping; Chen, Haibo
2014
Periodic solutions for autonomous $$(q,p)$$-Laplacian system with impulsive effects. Zbl 1238.35031
Yang, Xiaoxia; Chen, Haibo
2011
Existence and multiplicity of periodic solutions generated by impulses. Zbl 1253.34046
Yang, Liu; Chen, Haibo
2011
Existence and multiplicity of positive solutions for Kirchhoff-Schrödinger-Poisson system with critical growth. Zbl 1437.35254
Che, Guofeng; Chen, Haibo
2020
Fractional Kirchhoff-type equation with Hardy-Littlewood-Sobolev critical exponent. Zbl 1442.35525
Su, Yu; Chen, Haibo
2019
Multiple positive solutions for the critical Kirchhoff type problems involving sign-changing weight functions. Zbl 1425.35045
Xie, Weihong; Chen, Haibo
2019
Existence of nontrivial solutions for Schrödinger-Poisson systems with critical exponent on bounded domains. Zbl 1421.35141
Almuaalemi, Belal; Chen, Haibo; Khoutir, Sofiane
2019
The minimizing problem involving $$p$$-Laplacian and Hardy-Littlewood-Sobolev upper critical exponent. Zbl 1413.35183
Su, Yu; Chen, Haibo
2018
Infinitely many solutions of systems of Kirchhoff-type equations with general potentials. Zbl 1408.35035
Che, Guofeng; Chen, Haibo
2018
Ground state solutions for quasilinear Schrödinger equations via Pohožaev manifold in Orlicz space. Zbl 1401.35051
Xu, Liping; Chen, Haibo
2018
Infinitely many solutions for generalized quasilinear Schrödinger equations with sign-changing potential. Zbl 1376.35018
Shi, Hongxia; Chen, Haibo
2018
Non-reciprocal wave propagation in modulated elastic metamaterials. Zbl 1402.74045
Nassar, H.; Chen, H.; Norris, A. N.; Haberman, M. R.; Huang, G. L.
2017
Least energy sign-changing solutions for a class of fourth order Kirchhoff-type equations in $$\mathbb {R}^{N}$$. Zbl 1377.35097
Khoutir, Sofiane; Chen, Haibo
2017
Morse theory and local linking for a class of boundary value problems with impulsive effects. Zbl 1343.34073
Shi, Hongxia; Chen, Haibo; Liu, Hongliang
2016
Periodic solutions for a nonlinear $$(q,p)$$-Laplacian dynamical system with impulsive effects. Zbl 1303.34032
Yang, Xiaoxia; Chen, Haibo
2012
Center conditions and bifurcation of limit cycles at three-order nilpotent critical point in a cubic Lyapunov system. Zbl 1243.34041
Wu, Yusen; Li, Peiluan; Chen, Haibo
2012
Some results on impulsive boundary value problem for fractional differential inclusions. Zbl 1261.34003
Cao, Jianxin; Chen, Haibo
2011
Triple positive solutions for nonlinear boundary value problems in Banach space. Zbl 1189.34058
Zhao, Yulin; Chen, Haibo
2009
Existence of solutions of three-point boundary value problems in Banach spaces. Zbl 1176.34069
Chen, Haibo; Li, Peiluan
2009
Dimensions of level sets related to tangential dimensions. Zbl 1146.28004
Chen, Haibo; Wen, Zhixiong; Xiong, Ying
2008
Bifurcation at the equator for a class of quintic polynomial differential system. Zbl 1160.34027
Zhang, Qi; Liu, Yirong; Chen, Haibo
2006
Oscillation criteria for second-order neutral difference equations. Zbl 0963.39013
Luo, Jiaowan; He, Zhenting; Chen, Haibo
1998
Bound state positive solutions for a class of elliptic system with Hartree nonlinearity. Zbl 1440.35092
Che, Guofeng; Chen, Haibo; Wu, Tsung-fang
2020
Existence and multiplicity of positive solutions for Kirchhoff-Schrödinger-Poisson system with critical growth. Zbl 1437.35254
Che, Guofeng; Chen, Haibo
2020
Bound state positive solutions for a class of elliptic system with Hartree nonlinearity. Zbl 1440.35092
Che, Guofeng; Chen, Haibo; Wu, Tsung-fang
2020
Existence results for non-instantaneous impulsive nonlinear fractional differential equation via variational methods. Zbl 1441.34020
Zhao, Yulin; Luo, Chaoliang; Chen, Haibo
2020
Infinitely many solutions for the Klein-Gordon equation with sublinear nonlinearity coupled with Born-Infeld theory. Zbl 1448.35205
Che, Guofeng; Chen, Haibo
2020
On the Kirchhoff problems involving critical Sobolev exponent. Zbl 1436.35033
Xie, Weihong; Chen, Haibo
2020
Existence and multiplicity of positive solutions for fractional Laplacian systems with nonlinear coupling. Zbl 1428.35494
Che, Guofeng; Chen, Haibo; Wu, Tsung-Fang
2019
Fractional Kirchhoff-type equation with Hardy-Littlewood-Sobolev critical exponent. Zbl 1442.35525
Su, Yu; Chen, Haibo
2019
Multiple positive solutions for the critical Kirchhoff type problems involving sign-changing weight functions. Zbl 1425.35045
Xie, Weihong; Chen, Haibo
2019
Existence of nontrivial solutions for Schrödinger-Poisson systems with critical exponent on bounded domains. Zbl 1421.35141
Almuaalemi, Belal; Chen, Haibo; Khoutir, Sofiane
2019
Infinitely many bound state solutions for Kirchhoff type problems. Zbl 1416.35112
Xie, Weihong; Chen, Haibo
2019
Existence and asymptotic behavior of positive ground state solutions for coupled nonlinear fractional Kirchhoff-type systems. Zbl 1442.35503
Che, Guofeng; Chen, Haibo
2019
Non-trivial solutions of fractional Schrödinger-Poisson systems with sum of periodic and vanishing potentials. Zbl 1423.35422
Yu, Mingzhu; Chen, Haibo
2019
Multiplicity of positive solutions for Schrödinger-Poisson systems with a critical nonlinearity in $$\mathbb{R}^3$$. Zbl 1431.35022
Xie, Weihong; Chen, Haibo; Shi, Hongxia
2019
Existence and multiplicity of solutions for semilinear elliptic systems with periodic potential. Zbl 1421.35084
Che, Guofeng; Chen, Haibo; Yang, Liu
2019
Ground state solutions for Kirchhoff-type equations with a general nonlinearity in the critical growth. Zbl 1404.35141
Xu, Li-Ping; Chen, Haibo
2018
Ground state solutions for the nonlinear Schrödinger-Poisson systems with sum of periodic and vanishing potentials. Zbl 1380.35098
Xie, Weihong; Chen, Haibo; Shi, Hongxia
2018
Existence and multiplicity of normalized solutions for the nonlinear Kirchhoff type problems. Zbl 1422.35057
Xie, Weihong; Chen, Haibo
2018
Existence of nontrivial solutions for a perturbation of Choquard equation with Hardy-Littlewood-Sobolev upper critical exponent. Zbl 1393.35017
Su, Yu; Chen, Haibo
2018
Ground state solutions for a class of semilinear elliptic systems with sum of periodic and vanishing potentials. Zbl 1400.35135
Che, Guofeng; Chen, Haibo
2018
Multiple solutions for the Schrödinger equations with sign-changing potential and Hartree nonlinearity. Zbl 1390.35055
Che, Guofeng; Chen, Haibo
2018
The minimizing problem involving $$p$$-Laplacian and Hardy-Littlewood-Sobolev upper critical exponent. Zbl 1413.35183
Su, Yu; Chen, Haibo
2018
Infinitely many solutions of systems of Kirchhoff-type equations with general potentials. Zbl 1408.35035
Che, Guofeng; Chen, Haibo
2018
Ground state solutions for quasilinear Schrödinger equations via Pohožaev manifold in Orlicz space. Zbl 1401.35051
Xu, Liping; Chen, Haibo
2018
Infinitely many solutions for generalized quasilinear Schrödinger equations with sign-changing potential. Zbl 1376.35018
Shi, Hongxia; Chen, Haibo
2018
Existence of positive ground solutions for biharmonic equations via Pohožaev-Nehari manifold. Zbl 1439.35157
Xu, Liping; Chen, Haibo
2018
Multiplicity results for a class of fractional differential equations with impulse. Zbl 1448.34032
Zhao, Yulin; Shi, Xiaoyan; Chen, Haibo
2018
Existence and multiplicity of solutions for $$p(x)$$-Laplacian equations in $$\mathbb{R}^N$$. Zbl 1406.35134
Xie, Weihong; Chen, Haibo
2018
Existence and concentration result for a class of fractional Kirchhoff equations with Hartree-type nonlinearities and steep potential well. Zbl 1386.35456
Shao, Liuyang; Chen, Haibo
2018
Multiple positive solutions for nonhomogeneous Klein-Gordon-Maxwell equations. Zbl 1427.35264
Shi, Hongxia; Chen, Haibo
2018
Infinitely many solutions for generalized quasilinear Schrödinger equations with a finite potential well. Zbl 1409.35070
Shi, Hongxia; Chen, Haibo
2018
Positive ground state solutions for a class of Schrödinger-Poisson systems in $$\mathbb{R}^4$$ involving critical Sobolev exponent. Zbl 1406.35361
Khoutir, Sofiane; Chen, Haibo
2018
Existence and multiplicity of nontrivial solutions for Schrödinger-Poisson systems on bounded domains. Zbl 1404.35135
Almuaalemi, Belal; Chen, Haibo; Khoutir, Sofiane
2018
The existence of nontrivial solution for biharmonic equation with sign-changing potential. Zbl 1404.35203
Su, Yu; Chen, Haibo
2018
A generalization of the Erdős-Rényi limit theorem and the corresponding multifractal analysis. Zbl 1423.11135
Chen, Haibo; Yu, Min
2018
Existence of nontrivial solutions for fractional Schrödinger-Poisson system with sign-changing potentials. Zbl 1394.35548
Che, Guofeng; Chen, Haibo; Shi, Hongxia; Wang, Zewei
2018
Infinitely many solutions for Kirchhoff equations with sign-changing potential and Hartree nonlinearity. Zbl 1400.35101
Che, Guofeng; Chen, Haibo
2018
Existence of multiple nontrivial solutions for a class of quasilinear Schrödinger equations on $$\mathbb{R}^N$$. Zbl 1394.35191
Che, Guofeng; Chen, Haibo
2018
Existence and multiplicity of solutions for a class of generalized quasilinear Schrödinger equations. Zbl 1376.35017
Shi, Hongxia; Chen, Haibo
2017
Shape optimization of sound barrier using an isogeometric fast multipole boundary element method in two dimensions. Zbl 1403.76092
Liu, Cheng; Chen, Leilei; Zhao, Wenchang; Chen, Haibo
2017
Multiple nontrivial solutions for a nonhomogeneous Schrödinger-Poisson system in $$\mathbb{R}^3$$. Zbl 1413.35152
Khoutir, Sofiane; Chen, Haibo
2017
Existence and multiplicity of systems of Kirchhoff-type equations with general potentials. Zbl 1359.35049
Che, Guofeng; Chen, Haibo
2017
Nontrivial solutions for impulsive fractional differential equations via Morse theory. Zbl 1411.34026
Zhao, Yulin; Chen, Haibo; Xu, Chengjie
2017
Existence and concentration result for a quasilinear Schrödinger equation with critical growth. Zbl 1383.35092
Shao, Liuyang; Chen, Haibo
2017
Noether’s theorem of fractional Birkhoffian systems. Zbl 1387.26019
Zhang, Hong-Bin; Chen, Hai-Bo
2017
Non-reciprocal wave propagation in modulated elastic metamaterials. Zbl 1402.74045
Nassar, H.; Chen, H.; Norris, A. N.; Haberman, M. R.; Huang, G. L.
2017
Least energy sign-changing solutions for a class of fourth order Kirchhoff-type equations in $$\mathbb {R}^{N}$$. Zbl 1377.35097
Khoutir, Sofiane; Chen, Haibo
2017
Infinitely many solutions for a class of modified nonlinear fourth-order elliptic equations on $$\mathbb{R}^{N}$$. Zbl 1376.35043
Che, Guofeng; Chen, Haibo
2017
Existence and multiplicity of nontrivial solutions for Klein-Gordon-Maxwell system with a parameter. Zbl 1371.35106
Che, Guofeng; Chen, Haibo
2017
Positive ground state solutions for a class of Schrödinger-Poisson systems with sign-changing and vanishing potential. Zbl 1368.35076
Liu, Hongliang; Chen, Haibo; Xiao, Qizhen
2017
Nontrivial solutions and least energy nodal solutions for a class of fourth-order elliptic equations. Zbl 1360.35055
Che, Guofeng; Chen, Haibo
2017
Ground state solutions and least energy sign-changing solutions for a class of fourth order Kirchhoff-type equations in $$\mathbb R^N$$. Zbl 1357.35115
Khoutir, Sofiane; Chen, Haibo
2017
Ground state of solutions for a class of fractional Schrödinger equations with critical Sobolev exponent and steep potential well. Zbl 06836392
Shao, Liuyang; Chen, Haibo
2017
Nontrivial solutions for Kirchhoff-type problems with a parameter. Zbl 1326.35101
Xu, Liping; Chen, Haibo
2016
Generalized quasilinear asymptotically periodic Schrödinger equations with critical growth. Zbl 1359.35076
Shi, Hongxia; Chen, Haibo
2016
Positive solutions for generalized quasilinear Schrödinger equations with potential vanishing at infinity. Zbl 1347.35116
Shi, Hongxia; Chen, Haibo
2016
Infinitely many solutions for fractional differential system via variational method. Zbl 1346.34016
Zhao, Yulin; Chen, Haibo; Zhang, Qiming
2016
Ground state solutions for asymptotically periodic coupled Kirchhoff-type systems with critical growth. Zbl 1342.35102
Shi, Hongxia; Chen, Haibo
2016
Multiplicity for a 4-sublinear Schrödinger-Poisson system with sign-changing potential via Morse theory. Zbl 1336.35319
Liu, Hongliang; Chen, Haibo; Wang, Gangwei
2016
Multiple solutions for Schrödinger-Poisson systems with sign-changing potential and critical nonlinearity. Zbl 1355.35064
Shao, Liuyang; Chen, Haibo
2016
Existence of infinitely many high energy solutions for a fractional Schrödinger equation in $$\mathbb{R}^N$$. Zbl 1386.35444
Khoutir, Sofiane; Chen, Haibo
2016
Ground state solutions for resonant cooperative elliptic systems with general superlinear terms. Zbl 1355.35065
Shi, Hongxia; Chen, Haibo
2016
Multiplicity of small negative-energy solutions for a class of semilinear elliptic systems. Zbl 1343.35095
Che, Guofeng; Chen, Haibo
2016
Multiplicity results for a class of boundary value problems with impulsive effects. Zbl 1359.34035
Shi, Hongxia; Chen, Haibo
2016
Morse theory and local linking for a class of boundary value problems with impulsive effects. Zbl 1343.34073
Shi, Hongxia; Chen, Haibo; Liu, Hongliang
2016
Sign-changing solutions to Schrödinger-Kirchhoff-type equations with critical exponent. Zbl 1400.35114
Xu, Liping; Chen, Haibo
2016
Existence of solutions for the Schrödinger-Kirchhoff-Poisson systems with a critical nonlinearity. Zbl 1359.35059
Shao, Liuyang; Chen, Haibo
2016
Least energy sign-changing solutions for nonlinear Schrödinger equations with indefinite-sign and vanishing potential. Zbl 1332.35118
Liu, Hongliang; Chen, Haibo; Yang, Xiaoxia
2016
RETRACTED ARTICLE: Sign-changing solutions to Schrödinger-Kirchhoff-type equations with critical exponent. Zbl 1400.35115
Xu, Liping; Chen, Haibo
2016
Existence and multiplicity of solutions for nonlinear Schrödinger-Kirchhoff-type equations. Zbl 1336.35317
Chen, Haibo; Liu, Hongliang; Xu, Liping
2016
Multiple solutions for a coupled system of nonlinear fractional differential equations via variational methods. Zbl 1338.34033
Zhao, Yulin; Chen, Haibo; Qin, Bin
2015
Ground-state solution for a class of biharmonic equations including critical exponent. Zbl 1332.35096
Liu, Hongliang; Chen, Haibo
2015
Multiplicity results for fourth order elliptic equations of Kirchhoff-type. Zbl 1349.35098
Xu, Liping; Chen, Haibo
2015
Least energy nodal solution for quasilinear biharmonic equations with critical exponent in $$\mathbb{R}^N$$. Zbl 1322.35017
Liu, Hongliang; Chen, Haibo
2015
Multiple solutions for the nonhomogeneous fourth order elliptic equations of Kirchhoff-type. Zbl 1357.35113
Xu, Liping; Chen, Haibo
2015
Existence and continuous dependence of mild solutions for fractional neutral abstract evolution equations. Zbl 1350.34061
Cao, Jianxin; Chen, Haibo; Yang, Weifeng
2015
Multiplicity of nontrivial solutions for a class of nonlinear Kirchhoff-type equations. Zbl 1339.35107
Liu, Hongliang; Chen, Haibo; Yuan, Yueding
2015
Existence and multiplicity of solutions for nonhomogeneous Klein-Gordon-Maxwell equations. Zbl 1315.35073
Xu, Liping; Chen, Haibo
2015
Multiple solutions for fractional Schrödinger equations. Zbl 06430806
Shi, Hongxia; Chen, Haibo
2015
The multifractal spectra of certain planar recurrence sets in the continued fraction dynamical system. Zbl 1336.37023
Chen, Haibo; Wen, Zhixiong; Yu, Min
2015
Multiple solutions for an indefinite Kirchhoff-type equation with sign-changing potential. Zbl 1331.35108
Liu, Hongliang; Chen, Haibo
2015
Multiple solutions for superlinear Schrödinger-Poisson system with sign-changing potential and nonlinearity. Zbl 1369.35020
Liu, Hongliang; Chen, Haibo; Yang, Xiaoxia
2014
Multiplicity of small negative-energy solutions for a class of nonlinear Schrödinger-Poisson systems. Zbl 1335.35053
Xu, Liping; Chen, Haibo
2014
Existence and multiplicity of solutions for fourth-order elliptic equations of Kirchhoff type via genus theory. Zbl 1304.35260
Xu, Liping; Chen, Haibo
2014
Existence of infinitely many solutions for generalized Schrödinger-Poisson system. Zbl 1304.35271
Xu, Liping; Chen, Haibo
2014
The waiting spectra of the sets described by the quantitative waiting time indicators. Zbl 1303.11089
Chen, Haibo; Tang, Junmin
2014
Infinitely many solutions for a p-Laplacian boundary value problem with impulsive effects. Zbl 1302.34050
Shi, Hongxia; Chen, Haibo; Zhang, Qi
2014
Existence of periodic solutions for a damped vibration problem with $$(q,p)$$-Laplacian. Zbl 1295.34053
Yang, Xiaoxia; Chen, Haibo
2014
Periodic solution generated by impulses for singular differential equations. Zbl 1304.34076
Sun, Juntao; Chu, Jifeng; Chen, Haibo
2013
Existence results for fractional $$q$$-difference equations with nonlocal $$q$$-integral boundary conditions. Zbl 1380.39011
Zhao, Yulin; Chen, Haibo; Zhang, Qiming
2013
Multiple positive solutions of a singular semipositone integral boundary value problem for fractional $$q$$-derivatives equation. Zbl 1274.34079
Zhao, Yulin; Ye, Guobing; Chen, Haibo
2013
Successive iteration and positive solutions for boundary value problem of nonlinear fractional $$q$$-difference equation. Zbl 1296.39003
Yang, Liu; Chen, Haibo; Luo, Liping; Luo, Zhenguo
2013
The fractional dimensions of intersections of the Besicovitch sets and the Erdős-Rényi sets. Zbl 1261.28007
Chen, Haibo; Wen, Zhixiong
2013
Existence and multiplicity of positive solutions for nonhomogeneous boundary value problems with fractional $$q$$-derivatives. Zbl 1296.34048
Zhao, Yulin; Chen, Haibo; Zhang, Qiming
2013
On ground state solutions for some non-autonomous Schrödinger-Poisson systems. Zbl 1241.35057
Sun, Juntao; Chen, Haibo; Nieto, Juan J.
2012
Impulsive fractional differential equations with nonlinear boundary conditions. Zbl 1255.34006
Cao, Jianxin; Chen, Haibo
2012
Existence of positive solutions for nonlinear fractional functional differential equation. Zbl 1277.34111
Zhao, Yulin; Chen, Haibo; Huang, Li
2012
The limit cycles of a general Kolmogorov system. Zbl 1252.34037
Yuan, Yueding; Chen, Haibo; Du, Chaoxiong; Yuan, Yuejin
2012
Periodic solutions of second-order differential equations with multiple delays. Zbl 1291.34112
Chen, Haibo; Tang, Hongwu; Sun, Juntao
2012
Existence of multiple solutions for three-point boundary-value problems on infinite intervals in Banach spaces. Zbl 1244.34023
Zhao, Yulin; Chen, Haibo; Xu, Chengjie
2012
Periodic solutions for a nonlinear $$(q,p)$$-Laplacian dynamical system with impulsive effects. Zbl 1303.34032
Yang, Xiaoxia; Chen, Haibo
2012
...and 51 more Documents
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#### Cited by 831 Authors

 89 Chen, Haibo 30 Liu, Yirong 29 Tang, Xianhua 28 Sun, Juntao 21 Zhao, Yulin 18 Huang, Wentao 16 Nieto Roig, Juan Jose 15 Che, Guofeng 15 Dai, Binxiang 14 Shi, Hongxia 13 Heidarkhani, Shapour 13 Wu, Yusen 12 Li, Feng 12 O’Regan, Donal 12 Zhai, Chengbo 11 Caristi, Giuseppe 11 Chen, Huiwen 11 Du, Chaoxiong 11 Wang, Qinlong 10 Cheng, Bitao 10 Feng, Meiqiang 10 He, Zhimin 10 Liu, Hongliang 10 Liu, Lishan 10 Wu, Yonghong 10 Zhang, Qi 9 Bai, Liang 9 Chen, Jianhua 9 Liu, Wenbin 9 Luo, Zhiguo 9 Salari, Amjad 9 Wu, Tsung-fang 8 Afrouzi, Ghasem Alizadeh 8 Khoutir, Sofiane 8 Xie, Weihong 8 Yang, Liu 8 Zhang, Xuemei 7 Chen, Haibo 7 Chen, Sitong 7 Ge, Weigao 7 Huang, Yisheng 7 Li, Peiluan 7 Nyamoradi, Nemat 7 Stamov, Gani Trendafilov 7 Stamova, Ivanka Milkova 7 Sun, Shurong 7 Tian, Yu 7 Wang, Jinrong 7 Xu, Jiafa 7 Yang, Wengui 7 Zhang, Ziheng 6 Chen, Guanwei 6 Chen, Jianqing 6 Graef, John R. 6 Han, Zhenlai 6 Li, Jianli 6 Li, Lin 6 Liu, Yuji 6 Liu, Zhisu 6 Tang, Chun-Lei 6 Tang, Chunlei 6 Xu, Liping 6 Zhang, Qingye 5 Chen, Peng 5 Ferrara, Massimiliano 5 Huang, Lirong 5 Kong, Lingju 5 Li, Jinjun 5 Liang, Ruixi 5 Liu, Jian 5 Moradi, Shahin 5 Shen, Tengfei 5 Sun, Yongping 5 Tokmak Fen, Fatma 5 Wang, Min 5 Wang, Weibing 5 Yan, Lizhao 5 Yang, Xiaoxia 5 Yaslan Karaca, Ilkay 5 Zhang, Dan 5 Zhang, Qiming 5 Zhang, Xingyong 5 Zhao, Kaihong 4 Almuaalemi, Belal O. M. 4 Chen, Haibo 4 Deng, Zhiying 4 Feng, Zhaosheng 4 Li, Shengjun 4 Li, Yongkun 4 Liu, Senli 4 Lv, Xiang 4 Rocha, Eugénio A. M. 4 Shao, Liuyang 4 Shao, Mengqiu 4 Shen, Jianhua 4 Wang, Hui 4 Wu, Dong-Lun 4 Xiao, Jing 4 Xie, Jingli 4 Yu, Pei ...and 731 more Authors
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#### Cited in 131 Serials

 70 Boundary Value Problems 68 Advances in Difference Equations 42 Abstract and Applied Analysis 37 Applied Mathematics and Computation 31 Computers & Mathematics with Applications 30 Applied Mathematics Letters 28 Journal of Applied Mathematics and Computing 23 Journal of Mathematical Analysis and Applications 22 Mediterranean Journal of Mathematics 21 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 19 Nonlinear Analysis. Real World Applications 18 Mathematical Methods in the Applied Sciences 13 Journal of Function Spaces 10 Journal of Mathematical Physics 10 Complex Variables and Elliptic Equations 10 Journal of Nonlinear Science and Applications 9 Qualitative Theory of Dynamical Systems 8 Journal of Differential Equations 8 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 8 Journal of Applied Analysis and Computation 7 Applicable Analysis 7 Chaos, Solitons and Fractals 7 Results in Mathematics 7 Electronic Journal of Differential Equations (EJDE) 7 Bulletin des Sciences Mathématiques 7 Mathematical Problems in Engineering 7 Nonlinear Dynamics 7 Communications in Nonlinear Science and Numerical Simulation 7 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 7 Communications on Pure and Applied Analysis 6 ZAMP. Zeitschrift für angewandte Mathematik und Physik 6 Journal of Computational and Applied Mathematics 6 Mathematical and Computer Modelling 6 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 6 Topological Methods in Nonlinear Analysis 6 Journal of Applied Mathematics 6 Journal of Fixed Point Theory and Applications 5 Computer Methods in Applied Mechanics and Engineering 5 Rocky Mountain Journal of Mathematics 5 Acta Mathematicae Applicatae Sinica. English Series 5 Journal of Inequalities and Applications 5 Fractional Calculus & Applied Analysis 5 Discrete Dynamics in Nature and Society 4 Indian Journal of Pure & Applied Mathematics 4 Journal of the Franklin Institute 4 Nonlinearity 4 Bulletin of the Iranian Mathematical Society 4 Engineering Analysis with Boundary Elements 4 Taiwanese Journal of Mathematics 3 Ukrainian Mathematical Journal 3 Monatshefte für Mathematik 3 Applications of Mathematics 3 Discrete and Continuous Dynamical Systems 3 Differential Equations and Dynamical Systems 3 International Journal of Nonlinear Sciences and Numerical Simulation 3 Nonlinear Analysis. Modelling and Control 3 International Journal of Number Theory 3 Advances in Nonlinear Analysis 3 Open Mathematics 2 Bulletin of the Australian Mathematical Society 2 Journal of the Korean Mathematical Society 2 Mathematische Nachrichten 2 Quaestiones Mathematicae 2 Acta Applicandae Mathematicae 2 Applied Mathematical Modelling 2 Calculus of Variations and Partial Differential Equations 2 Positivity 2 Acta Mathematica Sinica. English Series 2 Communications in Contemporary Mathematics 2 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 2 Journal of the Australian Mathematical Society 2 Advanced Nonlinear Studies 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Central European Journal of Mathematics 2 Journal of Function Spaces and Applications 2 ISRN Mathematical Analysis 2 Afrika Matematika 2 Fractional Differential Calculus 1 International Journal of Theoretical Physics 1 Journal of Mathematical Biology 1 Collectanea Mathematica 1 International Journal of Mathematics and Mathematical Sciences 1 Integral Equations and Operator Theory 1 Journal of Number Theory 1 Matematički Vesnik 1 Numerical Functional Analysis and Optimization 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Quarterly of Applied Mathematics 1 Ricerche di Matematica 1 Chinese Annals of Mathematics. Series B 1 Computer Aided Geometric Design 1 Applied Numerical Mathematics 1 Computational Mechanics 1 Journal of Integral Equations and Applications 1 Journal of Global Optimization 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of Dynamics and Differential Equations 1 Turkish Journal of Mathematics 1 Georgian Mathematical Journal 1 Boletín de la Sociedad Matemática Mexicana. Third Series ...and 31 more Serials
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#### Cited in 32 Fields

 470 Ordinary differential equations (34-XX) 256 Partial differential equations (35-XX) 127 Global analysis, analysis on manifolds (58-XX) 103 Operator theory (47-XX) 95 Dynamical systems and ergodic theory (37-XX) 33 Difference and functional equations (39-XX) 31 Real functions (26-XX) 22 Numerical analysis (65-XX) 22 Mechanics of particles and systems (70-XX) 20 Mechanics of deformable solids (74-XX) 18 Biology and other natural sciences (92-XX) 15 Integral equations (45-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 11 Number theory (11-XX) 11 Measure and integration (28-XX) 7 Potential theory (31-XX) 6 Systems theory; control (93-XX) 4 Special functions (33-XX) 4 Fluid mechanics (76-XX) 4 Quantum theory (81-XX) 3 General topology (54-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Functions of a complex variable (30-XX) 2 Probability theory and stochastic processes (60-XX) 2 Optics, electromagnetic theory (78-XX) 1 Commutative algebra (13-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 Computer science (68-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Operations research, mathematical programming (90-XX)