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## Liu, Shibo

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 Author ID: liu.shibo Published as: Liu, S.; Liu, S. B.; Liu, Shibo
 Documents Indexed: 54 Publications since 1989
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#### Co-Authors

 10 single-authored 5 Li, Shujie 2 Fang, Fei 2 Perera, Kanishka 2 Shen, Zupei 2 Squassina, Marco 2 Wu, Yue 1 Alves, Claudianor Oliveira 1 Chen, Huayang 1 Chen, Shaowei 1 Fan, Xianling 1 Feng, Weijie 1 Gan, Wenbin 1 Iannizzotto, Antonio 1 Li, Chong 1 Liang, Zhigang 1 Liu, Jiaquan 1 Liu, Peng 1 Medeiros, Everaldo S. 1 Mosconi, Sunra J. N. 1 Sun, Juan 1 Wang, Nan 1 Zhang, Yashan 1 Zhang, Zhitao 1 Zhao, Zhihan 1 Zhou, Jian
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#### Serials

 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Journal of Mathematical Analysis and Applications 3 Bulletin of the London Mathematical Society 3 Journal of Differential Equations 2 American Mathematical Monthly 2 Applied Mathematics Letters 2 Abstract and Applied Analysis 2 Journal of Mathematical Study 1 Mathematical Methods in the Applied Sciences 1 Acta Mathematica Sinica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Journal of Lanzhou University. Natural Sciences 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Calculus of Variations and Partial Differential Equations 1 Electronic Journal of Differential Equations (EJDE) 1 Journal of Difference Equations and Applications 1 Communications in Applied Analysis 1 Communications in Contemporary Mathematics 1 Acta Analysis Functionalis Applicata. AAFA 1 Nonlinear Analysis. Real World Applications 1 Advances in Calculus of Variations
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#### Fields

 32 Partial differential equations (35-XX) 18 Global analysis, analysis on manifolds (58-XX) 7 Operator theory (47-XX) 2 Difference and functional equations (39-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Manifolds and cell complexes (57-XX)

#### Citations contained in zbMATH

38 Publications have been cited 537 times in 428 Documents Cited by Year
Existence results for fractional $$p$$-Laplacian problems via Morse theory. Zbl 06567151
Iannizzotto, Antonio; Liu, Shibo; Perera, Kanishka; Squassina, Marco
2016
On superlinear problems without the Ambrosetti and Rabinowitz condition. Zbl 1192.35074
Liu, Shibo
2010
Infinitely many solutions for a superlinear elliptic equation. Zbl 1081.35043
Liu, Shibo; Li, Shujie
2003
On superlinear Schrödinger equations with periodic potential. Zbl 1247.35149
Liu, Shibo
2012
On ground states of superlinear $$p$$-Laplacian equations in R$$^N$$. Zbl 1178.35174
Liu, Shibo
2010
On superlinear $$p(x)$$-Laplacian equations in $$\mathbb R^N$$. Zbl 1194.35142
Alves, Claudianor O.; Liu, Shibo
2010
The existence of multiple solutions to quasilinear elliptic equations. Zbl 1122.35033
Liu, Jiaquan; Liu, Shibo
2005
Existence of solutions to a superlinear $$p$$-Laplacian equation. Zbl 1011.35062
Liu, Shibo
2001
Nontrivial solutions of Kirchhoff type problems. Zbl 1251.35027
Sun, Juan; Liu, Shibo
2012
Nontrivial solutions of superlinear $$p$$-Laplacian equations. Zbl 1161.35016
Fang, Fei; Liu, Shibo
2009
Multiple solutions for coercive $$p$$-Laplacian equations. Zbl 1148.35321
Liu, Shibo
2006
Existence of solutions for asymptotically ‘linear’ $$p$$-Laplacian equations. Zbl 1088.35025
Liu, Shibo; Li, Shujie
2004
Remarks on multiple solutions for elliptic resonant problems. Zbl 1387.35245
Liu, Shibo
2007
Nontrivial solutions for elliptic resonant problems. Zbl 1154.35357
Liu, Shibo
2009
Critical groups at infinity, saddle point reduction and elliptic resonant problems. Zbl 1058.35075
Liu, Shibo; Li, Shujie
2003
An elliptic equation with concave and convex nonlinearities. Zbl 1217.35067
Liu, Shibo; Li, Shujie
2003
On an asymptotically linear elliptic Dirichlet problem. Zbl 1047.35047
Zhang, Zhitao; Li, Shujie; Liu, Shibo; Feng, Weijie
2002
Existence and multiplicity of solutions for asymptotically linear Schrödinger-Kirchhoff equations. Zbl 1334.35060
Wu, Yue; Liu, Shibo
2015
Standing waves with large frequency for 4-superlinear Schrödinger-Poisson systems. Zbl 1309.35008
Chen, Huayang; Liu, Shibo
2015
Standing waves for quasilinear Schrödinger equations with indefinite potentials. Zbl 1404.35130
Liu, Shibo; Zhou, Jian
2018
On the existence of solutions to a fourth-order quasilinear resonant problem. Zbl 1065.31007
Liu, Shibo; Squassina, Marco
2002
Standing waves for 4-superlinear Schrödinger-Kirchhoff equations. Zbl 1321.35018
Chen, Shaowei; Liu, Shibo
2015
Standing waves for 4-superlinear Schrödinger-Poisson systems with indefinite potentials. Zbl 1379.35081
Liu, Shibo; Wu, Yue
2017
Multiplicity results for $$p$$-biharmonic problems via Morse theory. Zbl 1192.35042
Liu, Shibo; Medeiros, Everaldo; Perera, Kanishka
2009
Multiple positive solutions of a class of Schrödinger-Poisson equation involving indefinite nonlinearity in $$\mathbb{R}^3$$. Zbl 1416.35089
Gan, Wenbin; Liu, Shibo
2019
Dynamic reconstruction algorithm for electrical capacitance tomography based on the proper orthogonal decomposition. Zbl 1443.94020
Lei, J.; Qiu, J. H.; Liu, S.
2015
Generalized saddle point theorem and asymptotically linear problems with periodic potential. Zbl 1282.35171
Liu, Shibo; Shen, Zupei
2013
Homology of saddle point reduction and applications to resonant elliptic systems. Zbl 1262.58011
Li, Chong; Liu, Shibo
2013
On asymptotically linear elliptic equations in $$\mathbb R^N$$. Zbl 1239.35051
Shen, Zupei; Liu, Shibo
2012
Multiple periodic solutions for non-linear difference systems involving the $$p$$-Laplacian. Zbl 1274.39009
Liu, Shibo
2011
A theory for small deformation analysis of growing bodies with an application to the winding of magnetic tape packs. Zbl 0862.73009
Zabaras, N.; Liu, S.
1995
A vibration analysis of composite laminated plates. Zbl 0751.73056
Liu, S.
1991
On the Schrödinger-Poisson system with indefinite potential and 3-sublinear nonlinearity. Zbl 1436.35082
Liu, Shibo; Mosconi, Sunra
2020
On the surjectivity of smooth maps into Euclidean spaces and the fundamental theorem of algebra. Zbl 1402.30006
Liu, Peng; Liu, Shibo
2018
Longitudinal distributions of CO concentration and difference with temperature field in a tunnel fire smoke flow. Zbl 1194.80113
Hu, L. H.; Tang, F.; Yang, D.; Liu, S.; Huo, R.
2010
Multiple solutions for elliptic resonant problems. Zbl 1155.35354
Liu, Shibo
2008
Boundary element contact mechanics analysis of pin-loaded lugs. Zbl 0900.73901
Liu, S. B.; Tan, C. L.
1994
A finite element analysis procedure using simple quadrilateral plate/shell elements. Zbl 0698.73051
Liu, S.
1989
On the Schrödinger-Poisson system with indefinite potential and 3-sublinear nonlinearity. Zbl 1436.35082
Liu, Shibo; Mosconi, Sunra
2020
Multiple positive solutions of a class of Schrödinger-Poisson equation involving indefinite nonlinearity in $$\mathbb{R}^3$$. Zbl 1416.35089
Gan, Wenbin; Liu, Shibo
2019
Standing waves for quasilinear Schrödinger equations with indefinite potentials. Zbl 1404.35130
Liu, Shibo; Zhou, Jian
2018
On the surjectivity of smooth maps into Euclidean spaces and the fundamental theorem of algebra. Zbl 1402.30006
Liu, Peng; Liu, Shibo
2018
Standing waves for 4-superlinear Schrödinger-Poisson systems with indefinite potentials. Zbl 1379.35081
Liu, Shibo; Wu, Yue
2017
Existence results for fractional $$p$$-Laplacian problems via Morse theory. Zbl 06567151
Iannizzotto, Antonio; Liu, Shibo; Perera, Kanishka; Squassina, Marco
2016
Existence and multiplicity of solutions for asymptotically linear Schrödinger-Kirchhoff equations. Zbl 1334.35060
Wu, Yue; Liu, Shibo
2015
Standing waves with large frequency for 4-superlinear Schrödinger-Poisson systems. Zbl 1309.35008
Chen, Huayang; Liu, Shibo
2015
Standing waves for 4-superlinear Schrödinger-Kirchhoff equations. Zbl 1321.35018
Chen, Shaowei; Liu, Shibo
2015
Dynamic reconstruction algorithm for electrical capacitance tomography based on the proper orthogonal decomposition. Zbl 1443.94020
Lei, J.; Qiu, J. H.; Liu, S.
2015
Generalized saddle point theorem and asymptotically linear problems with periodic potential. Zbl 1282.35171
Liu, Shibo; Shen, Zupei
2013
Homology of saddle point reduction and applications to resonant elliptic systems. Zbl 1262.58011
Li, Chong; Liu, Shibo
2013
On superlinear Schrödinger equations with periodic potential. Zbl 1247.35149
Liu, Shibo
2012
Nontrivial solutions of Kirchhoff type problems. Zbl 1251.35027
Sun, Juan; Liu, Shibo
2012
On asymptotically linear elliptic equations in $$\mathbb R^N$$. Zbl 1239.35051
Shen, Zupei; Liu, Shibo
2012
Multiple periodic solutions for non-linear difference systems involving the $$p$$-Laplacian. Zbl 1274.39009
Liu, Shibo
2011
On superlinear problems without the Ambrosetti and Rabinowitz condition. Zbl 1192.35074
Liu, Shibo
2010
On ground states of superlinear $$p$$-Laplacian equations in R$$^N$$. Zbl 1178.35174
Liu, Shibo
2010
On superlinear $$p(x)$$-Laplacian equations in $$\mathbb R^N$$. Zbl 1194.35142
Alves, Claudianor O.; Liu, Shibo
2010
Longitudinal distributions of CO concentration and difference with temperature field in a tunnel fire smoke flow. Zbl 1194.80113
Hu, L. H.; Tang, F.; Yang, D.; Liu, S.; Huo, R.
2010
Nontrivial solutions of superlinear $$p$$-Laplacian equations. Zbl 1161.35016
Fang, Fei; Liu, Shibo
2009
Nontrivial solutions for elliptic resonant problems. Zbl 1154.35357
Liu, Shibo
2009
Multiplicity results for $$p$$-biharmonic problems via Morse theory. Zbl 1192.35042
Liu, Shibo; Medeiros, Everaldo; Perera, Kanishka
2009
Multiple solutions for elliptic resonant problems. Zbl 1155.35354
Liu, Shibo
2008
Remarks on multiple solutions for elliptic resonant problems. Zbl 1387.35245
Liu, Shibo
2007
Multiple solutions for coercive $$p$$-Laplacian equations. Zbl 1148.35321
Liu, Shibo
2006
The existence of multiple solutions to quasilinear elliptic equations. Zbl 1122.35033
Liu, Jiaquan; Liu, Shibo
2005
Existence of solutions for asymptotically ‘linear’ $$p$$-Laplacian equations. Zbl 1088.35025
Liu, Shibo; Li, Shujie
2004
Infinitely many solutions for a superlinear elliptic equation. Zbl 1081.35043
Liu, Shibo; Li, Shujie
2003
Critical groups at infinity, saddle point reduction and elliptic resonant problems. Zbl 1058.35075
Liu, Shibo; Li, Shujie
2003
An elliptic equation with concave and convex nonlinearities. Zbl 1217.35067
Liu, Shibo; Li, Shujie
2003
On an asymptotically linear elliptic Dirichlet problem. Zbl 1047.35047
Zhang, Zhitao; Li, Shujie; Liu, Shibo; Feng, Weijie
2002
On the existence of solutions to a fourth-order quasilinear resonant problem. Zbl 1065.31007
Liu, Shibo; Squassina, Marco
2002
Existence of solutions to a superlinear $$p$$-Laplacian equation. Zbl 1011.35062
Liu, Shibo
2001
A theory for small deformation analysis of growing bodies with an application to the winding of magnetic tape packs. Zbl 0862.73009
Zabaras, N.; Liu, S.
1995
Boundary element contact mechanics analysis of pin-loaded lugs. Zbl 0900.73901
Liu, S. B.; Tan, C. L.
1994
A vibration analysis of composite laminated plates. Zbl 0751.73056
Liu, S.
1991
A finite element analysis procedure using simple quadrilateral plate/shell elements. Zbl 0698.73051
Liu, S.
1989
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#### Cited by 520 Authors

 40 Papageorgiou, Nikolaos S. 19 Tang, Xianhua 16 Rădulescu, Vicenţiu D. 14 Liu, Shibo 13 Zhang, Binlin 11 Ge, Bin 11 Squassina, Marco 11 Tang, Chun-Lei 9 Gasiński, Leszek 9 Xiang, Mingqi 8 Chen, Shaowei 8 Kim, Yunho 7 Alves, Claudianor Oliveira 7 Da Silva, Edcarlos Domingos 7 Iannizzotto, Antonio 7 Mosconi, Sunra J. N. 7 Repovš, Dušan D. 7 Shi, Shaoyun 7 Su, Jiabao 7 Zhang, Jihui 5 Allaoui, Mostafa 5 Bartolo, Rossella 5 Candela, Anna Maria 5 Fang, Fei 5 Furtado, Marcelo Fernandes 5 Lee, Jun Ik 5 Li, Anran 5 Lin, Xiaoyan 5 Perera, Kanishka 5 Song, Yueqiang 5 Sun, Mingzheng 5 Yang, Yang 5 Zhang, Jian 5 Zhang, Qihu 4 Chen, Caisheng 4 Chen, Haibo 4 Chen, Wenjing 4 El Amrouss, Abdel Rachid 4 Ferrara, Massimiliano 4 Kim, Jaemyoung 4 Liu, Jiu 4 Mao, Anmin 4 Mederski, Jarosław 4 Miyagaki, Olimpio Hiroshi 4 Molica Bisci, Giovanni 4 Motreanu, Dumitru 4 O’Regan, Donal 4 Pei, Ruichang 4 Pucci, Patrizia 4 Staicu, Vasile 4 Teng, Kaimin 4 Ubilla, Pedro 4 Vetro, Calogero 4 Vetro, Francesca 4 Zhang, Wen 3 Ait-Mahiout, Karima 3 Ambrosio, Vincenzo 3 Bae, Jung-Hyun 3 Batkam, Cyril Joel 3 Brasco, Lorenzo 3 Cheng, Bitao 3 Cossio, Jorge 3 Han, Zhiqing 3 Herrón, Sigifredo 3 Kyritsi, Sophia Th. 3 Li, Fuyi 3 Li, Lin 3 Li, Quanqing 3 Liang, Sihua 3 Liang, Zhanping 3 Liao, Jiafeng 3 Liu, Guanggang 3 Mugnai, Dimitri 3 Ourraoui, Anass 3 Salvatore, Addolorata 3 Shen, Yaotian 3 Sun, Jijiang 3 Tan, Zhong 3 Torres Ledesma, César Enrique 3 Vélez, Carlos Augusto 3 Wu, Xian 3 Xiao, Liqin 3 Xue, Xiaoping 3 Zhao, Leiga 2 Afrouzi, Ghasem Alizadeh 2 Agarwal, Ravi P. 2 Aizicovici, Sergiu 2 Ayazoglu (Mashiyev), Rabil A. 2 Batista, Alex M. 2 Bieganowski, Bartosz 2 Binlin, Zhang 2 Cai, Hongrui 2 Carl, Siegfried 2 Chen, Jianhua 2 Chen, Shangjie 2 Chu, Changmu 2 Colin, Fabrice 2 Cung The Anh 2 Darhouche, Omar 2 de Paiva, Francisco Odair ...and 420 more Authors
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#### Cited in 112 Serials

 37 Journal of Mathematical Analysis and Applications 35 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 21 Complex Variables and Elliptic Equations 14 Boundary Value Problems 12 Journal of Differential Equations 12 Mediterranean Journal of Mathematics 11 Discrete and Continuous Dynamical Systems 11 Nonlinear Analysis. Real World Applications 11 Communications on Pure and Applied Analysis 10 Applied Mathematics and Computation 9 Computers & Mathematics with Applications 9 Calculus of Variations and Partial Differential Equations 9 Abstract and Applied Analysis 8 Journal of Mathematical Physics 8 Advanced Nonlinear Studies 7 Applied Mathematics Letters 7 Topological Methods in Nonlinear Analysis 6 Annali di Matematica Pura ed Applicata. Serie Quarta 6 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 6 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 5 Mathematical Methods in the Applied Sciences 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Advances in Nonlinear Analysis 4 Applicable Analysis 4 Electronic Journal of Differential Equations (EJDE) 4 Advances in Difference Equations 4 Journal of Function Spaces 3 Rocky Mountain Journal of Mathematics 3 Journal of the Korean Mathematical Society 3 Monatshefte für Mathematik 3 Proceedings of the American Mathematical Society 3 Results in Mathematics 3 Transactions of the American Mathematical Society 3 Revista Matemática Iberoamericana 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Journal of Dynamics and Differential Equations 3 NoDEA. Nonlinear Differential Equations and Applications 3 Taiwanese Journal of Mathematics 3 Communications in Contemporary Mathematics 3 Discrete and Continuous Dynamical Systems. Series B 3 Journal of Fixed Point Theory and Applications 3 Journal of Nonlinear Science and Applications 3 Differential Equations and Applications 3 International Journal of Differential Equations 3 Journal of Elliptic and Parabolic Equations 2 Acta Mechanica 2 Archive for Rational Mechanics and Analysis 2 Indian Journal of Pure & Applied Mathematics 2 Ukrainian Mathematical Journal 2 Applied Mathematics and Optimization 2 Journal of Functional Analysis 2 Manuscripta Mathematica 2 Mathematische Nachrichten 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Applied Mathematics and Mechanics. (English Edition) 2 Acta Applicandae Mathematicae 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Forum Mathematicum 2 Applied Mathematical Modelling 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Journal of Inequalities and Applications 2 Acta Mathematica Sinica. English Series 2 Journal of the Australian Mathematical Society 2 Journal of Applied Mathematics 2 Journal of Applied Mathematics and Computing 2 Analysis and Applications (Singapore) 2 Boletim da Sociedade Paranaense de Matemática. Terceira Série 2 Frontiers of Mathematics in China 2 Discrete and Continuous Dynamical Systems. Series S 2 Set-Valued and Variational Analysis 1 Bulletin of the Australian Mathematical Society 1 Computer Methods in Applied Mechanics and Engineering 1 International Journal of Heat and Mass Transfer 1 Mathematical Notes 1 Periodica Mathematica Hungarica 1 Advances in Mathematics 1 Glasgow Mathematical Journal 1 International Journal for Numerical Methods in Engineering 1 Journal of Optimization Theory and Applications 1 Mathematische Annalen 1 Zeitschrift für Analysis und ihre Anwendungen 1 Bulletin of the Korean Mathematical Society 1 Note di Matematica 1 Bulletin of the Iranian Mathematical Society 1 Computational Mechanics 1 Applications of Mathematics 1 Computational Mathematics and Mathematical Physics 1 Communications in Partial Differential Equations 1 Indagationes Mathematicae. New Series 1 Potential Analysis 1 Journal of Difference Equations and Applications 1 Mathematical Problems in Engineering 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 Differential Equations and Dynamical Systems 1 Positivity 1 International Journal of Applied Mathematics and Computer Science 1 Journal of Dynamical and Control Systems 1 Lobachevskii Journal of Mathematics 1 Nonlinear Analysis. Modelling and Control 1 Bulletin of the Brazilian Mathematical Society. New Series ...and 12 more Serials
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#### Cited in 24 Fields

 399 Partial differential equations (35-XX) 81 Global analysis, analysis on manifolds (58-XX) 47 Operator theory (47-XX) 19 Ordinary differential equations (34-XX) 17 Difference and functional equations (39-XX) 17 Calculus of variations and optimal control; optimization (49-XX) 8 Functional analysis (46-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 Mechanics of deformable solids (74-XX) 5 Integral equations (45-XX) 5 Numerical analysis (65-XX) 3 Fluid mechanics (76-XX) 3 Quantum theory (81-XX) 2 Real functions (26-XX) 2 Potential theory (31-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mechanics of particles and systems (70-XX) 2 Optics, electromagnetic theory (78-XX) 2 Biology and other natural sciences (92-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Computer science (68-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Astronomy and astrophysics (85-XX)