## Liu, Zhaoli

Compute Distance To:
 Author ID: liu.zhaoli Published as: Liu, Zhaoli; Liu, Z.; Liu, ZhaoLi
 Documents Indexed: 120 Publications since 1988, including 1 Book 1 Contribution as Editor Co-Authors: 36 Co-Authors with 77 Joint Publications 1,000 Co-Co-Authors
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### Co-Authors

 14 single-authored 20 Wang, Zhi-Qiang 7 Li, Shujie 7 Liu, Haidong 7 Su, Jiabao 7 Sun, Jingxian 6 Bartsch, Thomas J. 5 Jing, Yongtao 5 Liu, Chaoqun 4 McCormick, Steve Fahrney 4 Weth, Tobias 3 Li, Chong 3 Li, Fuyi 3 Li, Yongqing 3 Lin, Lishan 3 You, Xiangcheng 2 Chang, Jinyong 2 Chen, Shaowei 2 Du, Yihong 2 Guo, Zuji 2 Nie, Jingfang 1 Abed, Nagy Y. 1 Adrian, Ronald J. 1 Bickeböller, Heike 1 Biebler, Karl-Ernst 1 Boukpeti, Nathalie 1 Braun-Munzinger, K. 1 Brockmann, Gudrun A. 1 Charlier, Robert 1 Chen, Xinyan 1 Collin, Frédéric 1 Erhardt, G. 1 Fisch, R. D. 1 Freyer, Gertraude 1 Gómez Ávalos, G. 1 Hanratty, Thomas J. 1 Hückel, Tomasz 1 Jäger, Bernd Paul 1 Jeng, Dongsheng 1 Jiang, Guosheng 1 Li, Weisheng 1 Li, Yi 1 Li, Yonqing 1 Liu, Jian 1 Liu, Yanyan 1 Liu, Yongjie 1 Mohammed, Osama A. 1 Muñoz Rivera, Jaime Edilberto 1 Pan, Jianzhong 1 Pan, Xingbin 1 Panicke, L. 1 Perlin, Marc 1 Pistoia, Angela 1 Radu, J.-P. 1 Reitz, Rolf D. 1 Renne, U. 1 Schachtel, Gabriel A. 1 Schultz, William W. 1 Serota, R. A. 1 Simianer, H. 1 Sun, Jinxian 1 Szyda, J. 1 Teuscher, Friedrich 1 Thaller, Georg Erwin 1 Tsukada, Kazumi 1 Tuo, S. F. 1 Turrell, A. E. 1 van Heerden, Francois A. 1 Weber, Warren E. 1 Wild, V. 1 Windemuth, C. 1 Wu, Yadong 1 Yan, Shusen 1 Zhang, Jianjun 1 Zhang, Xuemei 1 Zhang, Zhitao 1 Zhao, Chunshan
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### Serials

 7 Journal of Differential Equations 5 Journal of Mathematical Analysis and Applications 5 Journal of Shandong University. Natural Science Edition 5 Calculus of Variations and Partial Differential Equations 4 Discrete and Continuous Dynamical Systems 3 Journal of Fluid Mechanics 3 Acta Mathematica Sinica 3 Applied Mathematics and Computation 3 Journal of Functional Analysis 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Communications in Contemporary Mathematics 3 Advanced Nonlinear Studies 2 Modern Physics Letters B 2 International Journal for Numerical and Analytical Methods in Geomechanics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Indiana University Mathematics Journal 2 Communications in Partial Differential Equations 2 Topological Methods in Nonlinear Analysis 2 SN Partial Differential Equations and Applications 1 International Journal of Modern Physics B 1 Acta Mechanica 1 Computers and Fluids 1 Communications in Mathematical Physics 1 Computer Physics Communications 1 International Journal of Multiphase Flow 1 International Journal of Plasticity 1 International Journal of Solids and Structures 1 Journal of Computational Physics 1 Journal of Sound and Vibration 1 Nonlinearity 1 Physica A 1 Physics Letters. A 1 Wave Motion 1 Chaos, Solitons and Fractals 1 Advances in Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Journal of Computational and Applied Mathematics 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Mechanics Research Communications 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 SIAM Journal on Control and Optimization 1 Journal of Mathematical Research & Exposition 1 Chinese Annals of Mathematics. Series B 1 Acta Mathematica Hungarica 1 International Journal of Production Research 1 Advances in Mathematics 1 Northeastern Mathematical Journal 1 Communications in Applied Numerical Methods 1 COMPEL 1 Applied Mathematics Letters 1 Journal of Scientific Computing 1 Science in China. Series A 1 Information and Decision Technology 1 SIAM Journal on Mathematical Analysis 1 Pattern Recognition Letters 1 NoDEA. Nonlinear Differential Equations and Applications 1 Methods and Applications of Analysis 1 Advances in Differential Equations 1 Pure and Applied Mathematics 1 Journal of Mathematical Study 1 Acta Mathematica Sinica. English Series 1 Quantitative Finance 1 Analysis in Theory and Applications 1 Journal of Fixed Point Theory and Applications 1 Frontiers of Mathematics in China 1 Science China. Mathematics 1 Biometrie und Medizinische Informatik. Greifswalder Seminarberichte
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### Fields

 72 Partial differential equations (35-XX) 22 Operator theory (47-XX) 21 Global analysis, analysis on manifolds (58-XX) 14 Fluid mechanics (76-XX) 13 Ordinary differential equations (34-XX) 7 Mechanics of deformable solids (74-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Probability theory and stochastic processes (60-XX) 3 Numerical analysis (65-XX) 3 Mechanics of particles and systems (70-XX) 3 Biology and other natural sciences (92-XX) 2 General and overarching topics; collections (00-XX) 2 Integral equations (45-XX) 2 Computer science (68-XX) 2 Operations research, mathematical programming (90-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Functional analysis (46-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

### Citations contained in zbMATH Open

91 Publications have been cited 1,413 times in 891 Documents Cited by Year
Sign changing solutions of superlinear Schrödinger equations. Zbl 1140.35410
Bartsch, Thomas; Liu, Zhaoli; Weth, Tobias
2004
Invariant sets of descending flow in critical point theory with applications to nonlinear differential equations. Zbl 0995.58006
Liu, Zhaoli; Sun, Jingxian
2001
On a superlinear elliptic $$p$$-Laplacian equation. Zbl 1087.35034
Bartsch, Thomas; Liu, Zhaoli
2004
Multiple bound states of nonlinear Schrödinger systems. Zbl 1156.35093
Liu, Zhaoli; Wang, Zhi-Qiang
2008
Nodal solutions of a $$p$$-Laplacian equation. Zbl 1162.35364
Bartsch, Thomas; Liu, Zhaoli; Weth, Tobias
2005
Ground states and bound states of a nonlinear Schrödinger system. Zbl 1198.35067
Liu, Zhaoli; Wang, Zhi-Qiang
2010
Multiple positive solutions of nonlinear two-point boundary value problems. Zbl 0878.34016
Liu, Zhaoli; Li, Fuyi
1996
Infinitely many sign-changing solutions for the nonlinear Schrödinger-Poisson system. Zbl 1341.35041
Liu, Zhaoli; Wang, Zhi-Qiang; Zhang, Jianjun
2016
On the Ambrosetti-Rabinowitz superlinear condition. Zbl 1113.35048
Liu, Zhaoli; Wang, Zhi-Qiang
2004
Schrödinger equations with concave and convex nonlinearities. Zbl 1113.35071
Liu, Zhaoli; Wang, Zhi-Qiang
2005
On Clark’s theorem and its applications to partially sublinear problems. Zbl 1333.58004
Liu, Zhaoli; Wang, Zhi-Qiang
2015
Nodal type bound states of Schrödinger equations via invariant set and minimax methods. Zbl 1210.35044
Liu, Zhaoli; van Heerden, Francois A.; Wang, Zhi-Qiang
2005
Perturbations from symmetric elliptic boundary value problems. Zbl 1032.35066
Li, Shujie; Liu, Zhaoli
2002
Compactness results for Schrödinger equations with asymptotically linear terms. Zbl 1387.35246
Liu, Zhaoli; Su, Jiabao; Weth, Tobias
2006
Exact number of solutions of a prescribed mean curvature equation. Zbl 1206.34038
Li, Weisheng; Liu, Zhaoli
2010
Large-scale modes of turbulent channel flow: transport and structure. Zbl 1102.76314
Liu, Z.; Adrian, R. J.; Hanratty, T. J.
2001
Exact number of solutions of a class of two-point boundary value problems involving concave and convex nonlinearities. Zbl 1003.34020
Liu, Zhaoli
2001
Multiple sign changing solutions of a quasilinear elliptic eigenvalue problem involving the $$p$$-Laplacian. Zbl 1086.35074
Bartsch, Thomas; Liu, Zhaoli
2004
A class of two-point boundary value problems. Zbl 0983.34010
Liu, Zhaoli; Zhang, Xuemei
2001
Positive solutions of superlinear elliptic equations. Zbl 0951.35051
Liu, Zhaoli
1999
Solutions of elliptic problems with nonlinearities of linear growth. Zbl 1177.35095
Liu, Zhaoli; Su, Jiabao; Wang, Zhi-Qiang
2009
Multi-bump solutions for a semilinear Schrödinger equation. Zbl 1187.35239
Lin, Lishan; Liu, Zhaoli; Chen, Shaowei
2009
Multi-bump type nodal solutions having a prescribed number of nodal domains. I. Zbl 1130.35054
Liu, Zhaoli; Wang, Zhi-Qiang
2005
A twist condition and periodic solutions of Hamiltonian systems. Zbl 1144.37027
Liu, Zhaoli; Su, Jiabao; Wang, Zhi-Qiang
2008
Multi-bump type nodal solutions having a prescribed number of nodal domains. II. Zbl 1330.35154
Liu, Zhaoli; Wang, Zhi-Qiang
2005
Existence and uniqueness of positive solutions of nonlinear Schrödinger systems. Zbl 1325.35203
Liu, Haidong; Liu, Zhaoli; Chang, Jinyong
2015
Sign-changing solutions of nonlinear elliptic equations. Zbl 1158.35370
Liu, Zhaoli; Wang, Zhi-Qiang
2008
Multiple and sign changing solutions of an elliptic eigenvalue problem with constraint. Zbl 1054.35047
Li, Yongqing; Liu, Zhaoli
2001
On the existence of anti-periodic solutions for implicit differential equations. Zbl 1249.35001
Liu, J.; Liu, Z.
2011
Calculus of variations and super- and sub-solutions in reverse order. Zbl 0810.47059
Sun, Jingxian; Liu, Zhaoli
1994
An efficient multigrid scheme for elliptic equations with discontinuous coefficients. Zbl 0759.65082
Liu, C.; Liu, Z.; McCormick, S.
1992
On the Fucík spectrum. Zbl 1148.35055
Li, Chong; Li, Shujie; Liu, Zhaoli; Pan, Jianzhong
2008
A multi-scale computational model of crystal plasticity at submicron-to-nanometer scales. Zbl 1235.74013
Liu, Z. L.; Liu, X. M.; Zhuang, Z.; You, X. C.
2009
Fourth order finite difference and multigrid methods for modeling instabilities in flat plate boundary layers – 2-D and 3-D approaches. Zbl 0813.76061
Liu, Z.; Liu, Chaoqun
1994
High order finite difference and multigrid methods for spatially evolving instability in a planar channel. Zbl 0769.76038
Liu, C.; Liu, Z.
1993
Multi-bump solutions and multi-tower solutions for equations on $$\mathbb R^N$$. Zbl 1171.35114
Lin, Lishan; Liu, Zhaoli
2009
Ground states of nonlinear Schrödinger systems. Zbl 1189.35076
Chang, Jinyong; Liu, Zhaoli
2010
Multiplicity of solutions for some elliptic equations involving critical and supercritical Sobolev exponents. Zbl 1142.35039
Li, Shujie; Liu, Zhaoli
2006
Existence of a positive solution of an elliptic equation on $$\mathbb R^N$$. Zbl 1067.35029
Liu, Zhaoli; Wang, Zhiqiang
2004
Ground states of a nonlinear Schrödinger system with nonconstant potentials. Zbl 1311.35290
Liu, HaiDong; Liu, ZhaoLi
2015
An elliptic problem with jumping nonlinearities. Zbl 1161.35395
Liu, Zhaoli; Sun, Jingxian
2005
Solutions of some nonlinear elliptic problems with perturbation terms of arbitrary growth. Zbl 1205.35118
Liu, Zhaoli; Su, Jiabao
2004
Infinitely many solutions of $$p$$-sublinear $$p$$-Laplacian equations. Zbl 1318.35055
Jing, Yongtao; Liu, Zhaoli
2015
Location and critical groups of critical points in Banach spaces with an application to nonlinear eigenvalue problems. Zbl 1100.58005
Bartsch, Thomas; Liu, Zhaoli
2004
Multiple solutions of nonlinear Schrödinger equations via flow invariance and Morse theory. Zbl 1128.35045
Liu, Zhaoli; Wang, Zhi-Qiang; Weth, Tobias
2006
Positive solutions of a nonlinear Schrödinger system with nonconstant potentials. Zbl 1352.35038
Liu, Haidong; Liu, Zhaoli
2016
An analysis of the distortion and breakup mechanisms of high speed liquid drops. Zbl 1135.76481
Liu, Z.; Reitz, R. D.
1997
Periodic solutions for nonlinear $$n$$th order ordinary differential equations. Zbl 0873.34032
Liu, Zhaoli
1996
Generalized moment estimation for uncertain differential equations. Zbl 07332912
Liu, Z.
2021
Four versus two solutions of semilinear elliptic boundary value problems. Zbl 0996.35017
Liu, Zhaoli; Sun, Jingxian
2002
On Dancer’s conjecture and multiple solutions of elliptic partial differential equations. Zbl 0818.35031
Liu, Zhaoli
1993
Nodal solutions of a perturbed elliptic problem. Zbl 1173.35497
Li, Yi; Liu, Zhaoli; Zhao, Chunshan
2008
Finite amplitude steady-state wave groups with multiple near resonances in deep water. Zbl 1421.76026
Liu, Z.; Xu, D. L.; Liao, S. J.
2018
Multiple positive solutions of some nonlinear operator equations and their applications. Zbl 1012.47046
Li, Fuyi; Liu, Zhaoli
1998
Multiple solutions of a parameter-dependent quasilinear elliptic equation. Zbl 1361.35063
Jing, Yongtao; Liu, Zhaoli; Wang, Zhi-Qiang
2016
Finite-amplitude steady-state wave groups with multiple near-resonances in finite water depth. Zbl 1415.76075
Liu, Z.; Xie, D.
2019
Contractibility of level sets of functionals associated with some elliptic boundary value problems and applications. Zbl 1290.35052
Liu, Zhaoli; Li, Shujie
2003
A mesoscale investigation of strain rate effect on dynamic deformation of single-crystal copper. Zbl 1169.74363
Liu, Z. L.; You, X. C.; Zhuang, Z.
2008
High Reynolds number oscillating contact lines. Zbl 1163.74420
Perlin, M.; Schultz, W. W.; Liu, Z.
2004
Multiplicity of solutions of semilinear elliptic boundary value problems with jumping nonlinearities at zero. Zbl 1033.35038
Liu, Zhaoli
2002
Existence of type (II) regions and convexity and concavity of potential functionals corresponding to jumping nonlinear problems. Zbl 1143.35058
Li, Chong; Li, Shujie; Liu, Zhaoli
2008
Image fusion by using steerable pyramid. Zbl 1029.68626
Liu, Z.; Tsukada, K.; Hanasaki, K.; Ho, Y. K.; Dai, Y. P.
2001
Multigrid methods for flow transition in a planar channel. Zbl 0900.76080
Liu, C.; Liu, Z.; McCormick, S.
1991
Enriched machining feature-based reasoning for generic machining process sequencing. Zbl 1128.90468
Wang, L.; Cai, N.; Feng, H.-Y.; Liu, Z.
2006
A coupled Schrödinger system with critical exponent. Zbl 1448.35170
Liu, Haidong; Liu, Zhaoli
2020
Positive solutions of elliptic boundary value problems without the (P. S.) type assumption. Zbl 1030.35078
Liu, Zhaoli; Li, Shujie; Wang, Zhi-Qiang
2001
Perturbations of symmetric eigenvalue problems. Zbl 1020.35068
Li, Yongqing; Liu, Zhaoli
2002
Positive solutions of a class of nonlinear eigenvalue problems. Zbl 1050.35060
Liu, Zhaoli
2002
A new method for large amplitude sloshing problems. Zbl 0945.76545
Liu, Z.; Huang, Y.
1994
A topological property of boundaries of bounded open sets in the plane. Zbl 0831.54027
Liu, Zhaoli
1994
Perturbed elliptic equations with oscillatory nonlinearities. Zbl 1250.35079
Guo, Zuji; Liu, Zhaoli
2012
Analytical and numerical studies on simple shear of a bimaterial strip by using elastic micromorphic theory. Zbl 1291.74057
Zhang, Z. H.; Nie, J. F.; Liu, Z. L.; Gao, Y.; Zhuang, Z.
2012
Multilevel adaptive methods for incompressible flow in grooved channels. Zbl 0742.76056
Liu, C.; Liu, Z.; McCormick, S.
1991
Radial solutions of a supercritical elliptic equation with Hardy potential. Zbl 1247.35021
Guo, Zuji; Liu, Zhaoli
2012
Solutions of an elliptic eigenvalue problem involving subcritical or critical exponents. Zbl 1086.35076
Liu, Zhaoli; Li, Yongqing
2001
Normalized solutions for a class of nonlinear Choquard equations. Zbl 1459.35173
Bartsch, Thomas; Liu, Yanyan; Liu, Zhaoli
2020
Pharmacokinetic model based on multifactor uncertain differential equation. Zbl 07332910
Liu, Z.; Yang, Y.
2021
Vector solutions with prescribed component-wise nodes for a Schrödinger system. Zbl 1438.35393
Liu, Zhaoli; Wang, Zhiqiang
2019
Multi-bubble solutions for equations of Caffarelli-Kohn-Nirenberg type. Zbl 1236.35027
Lin, Lishan; Liu, Zhaoli
2011
Nontrivial solutions for perturbed $$p$$-Laplacian on $$\mathbb R^N$$. Zbl 1161.35399
Su, Jiabao; Liu, Zhaoli
2003
Modelling chemo-hydro-mechanical behaviour of unsaturated clays: a feasibility study. Zbl 1105.74304
Liu, Z.; Boukpeti, Nathalie; Li, X.; Collin, F.; Radu, J.-P.; Hueckel, T.; Charlier, R.
2005
On the existence of positive solutions of an elliptic boundary value problem. Zbl 0962.35066
Liu, Zhaoli; Li, Fuyi
2000
Number of invariant sets of descending flow with applications in critical point theory. Zbl 1048.58008
Liu, Zhaoli; Sun, Jingxian
2003
Sign changing solutions with clustered layers near the origin for singularly perturbed semilinear elliptic problems on a ball. Zbl 1175.35061
Du, Yihong; Liu, Zhaoli; Pistoia, Angela; Yan, Shusen
2008
A variant of Clark’s theorem and its applications for nonsmooth functionals without the Palais-Smale condition. Zbl 1366.35026
Chen, Shaowei; Liu, Zhaoli; Wang, Zhi-Qiang
2017
Bifurcation surfaces stemming from the Fučik spectrum. Zbl 1394.35307
Li, Chong; Li, Shujie; Liu, Zhaoli
2012
Multiple positive solutions of elliptic systems in exterior domains. Zbl 1401.35120
Liu, Haidong; Liu, Zhaoli
2018
Integral equations of Hammerstein type with general kernel. Zbl 0764.45004
Liu, Zhaoli
1992
Elliptic systems on $$\mathbb R^{N}$$ with nonlinearities of linear growth. Zbl 1253.35053
Liu, Zhaoli; Su, Jiabao; Wang, Zhi-Qiang
2011
A bounded resonance problem for semilinear elliptic equations. Zbl 1143.35049
Su, Jiabao; Liu, Zhaoli
2007
Existence results for a singular quasilinear elliptic equation. Zbl 1366.35027
Jing, Yongtao; Liu, Zhaoli; Wang, Zhi-Qiang
2017
Generalized moment estimation for uncertain differential equations. Zbl 07332912
Liu, Z.
2021
Pharmacokinetic model based on multifactor uncertain differential equation. Zbl 07332910
Liu, Z.; Yang, Y.
2021
A coupled Schrödinger system with critical exponent. Zbl 1448.35170
Liu, Haidong; Liu, Zhaoli
2020
Normalized solutions for a class of nonlinear Choquard equations. Zbl 1459.35173
Bartsch, Thomas; Liu, Yanyan; Liu, Zhaoli
2020
Finite-amplitude steady-state wave groups with multiple near-resonances in finite water depth. Zbl 1415.76075
Liu, Z.; Xie, D.
2019
Vector solutions with prescribed component-wise nodes for a Schrödinger system. Zbl 1438.35393
Liu, Zhaoli; Wang, Zhiqiang
2019
Finite amplitude steady-state wave groups with multiple near resonances in deep water. Zbl 1421.76026
Liu, Z.; Xu, D. L.; Liao, S. J.
2018
Multiple positive solutions of elliptic systems in exterior domains. Zbl 1401.35120
Liu, Haidong; Liu, Zhaoli
2018
A variant of Clark’s theorem and its applications for nonsmooth functionals without the Palais-Smale condition. Zbl 1366.35026
Chen, Shaowei; Liu, Zhaoli; Wang, Zhi-Qiang
2017
Existence results for a singular quasilinear elliptic equation. Zbl 1366.35027
Jing, Yongtao; Liu, Zhaoli; Wang, Zhi-Qiang
2017
Infinitely many sign-changing solutions for the nonlinear Schrödinger-Poisson system. Zbl 1341.35041
Liu, Zhaoli; Wang, Zhi-Qiang; Zhang, Jianjun
2016
Positive solutions of a nonlinear Schrödinger system with nonconstant potentials. Zbl 1352.35038
Liu, Haidong; Liu, Zhaoli
2016
Multiple solutions of a parameter-dependent quasilinear elliptic equation. Zbl 1361.35063
Jing, Yongtao; Liu, Zhaoli; Wang, Zhi-Qiang
2016
On Clark’s theorem and its applications to partially sublinear problems. Zbl 1333.58004
Liu, Zhaoli; Wang, Zhi-Qiang
2015
Existence and uniqueness of positive solutions of nonlinear Schrödinger systems. Zbl 1325.35203
Liu, Haidong; Liu, Zhaoli; Chang, Jinyong
2015
Ground states of a nonlinear Schrödinger system with nonconstant potentials. Zbl 1311.35290
Liu, HaiDong; Liu, ZhaoLi
2015
Infinitely many solutions of $$p$$-sublinear $$p$$-Laplacian equations. Zbl 1318.35055
Jing, Yongtao; Liu, Zhaoli
2015
Perturbed elliptic equations with oscillatory nonlinearities. Zbl 1250.35079
Guo, Zuji; Liu, Zhaoli
2012
Analytical and numerical studies on simple shear of a bimaterial strip by using elastic micromorphic theory. Zbl 1291.74057
Zhang, Z. H.; Nie, J. F.; Liu, Z. L.; Gao, Y.; Zhuang, Z.
2012
Radial solutions of a supercritical elliptic equation with Hardy potential. Zbl 1247.35021
Guo, Zuji; Liu, Zhaoli
2012
Bifurcation surfaces stemming from the Fučik spectrum. Zbl 1394.35307
Li, Chong; Li, Shujie; Liu, Zhaoli
2012
On the existence of anti-periodic solutions for implicit differential equations. Zbl 1249.35001
Liu, J.; Liu, Z.
2011
Multi-bubble solutions for equations of Caffarelli-Kohn-Nirenberg type. Zbl 1236.35027
Lin, Lishan; Liu, Zhaoli
2011
Elliptic systems on $$\mathbb R^{N}$$ with nonlinearities of linear growth. Zbl 1253.35053
Liu, Zhaoli; Su, Jiabao; Wang, Zhi-Qiang
2011
Ground states and bound states of a nonlinear Schrödinger system. Zbl 1198.35067
Liu, Zhaoli; Wang, Zhi-Qiang
2010
Exact number of solutions of a prescribed mean curvature equation. Zbl 1206.34038
Li, Weisheng; Liu, Zhaoli
2010
Ground states of nonlinear Schrödinger systems. Zbl 1189.35076
Chang, Jinyong; Liu, Zhaoli
2010
Solutions of elliptic problems with nonlinearities of linear growth. Zbl 1177.35095
Liu, Zhaoli; Su, Jiabao; Wang, Zhi-Qiang
2009
Multi-bump solutions for a semilinear Schrödinger equation. Zbl 1187.35239
Lin, Lishan; Liu, Zhaoli; Chen, Shaowei
2009
A multi-scale computational model of crystal plasticity at submicron-to-nanometer scales. Zbl 1235.74013
Liu, Z. L.; Liu, X. M.; Zhuang, Z.; You, X. C.
2009
Multi-bump solutions and multi-tower solutions for equations on $$\mathbb R^N$$. Zbl 1171.35114
Lin, Lishan; Liu, Zhaoli
2009
Multiple bound states of nonlinear Schrödinger systems. Zbl 1156.35093
Liu, Zhaoli; Wang, Zhi-Qiang
2008
A twist condition and periodic solutions of Hamiltonian systems. Zbl 1144.37027
Liu, Zhaoli; Su, Jiabao; Wang, Zhi-Qiang
2008
Sign-changing solutions of nonlinear elliptic equations. Zbl 1158.35370
Liu, Zhaoli; Wang, Zhi-Qiang
2008
On the Fucík spectrum. Zbl 1148.35055
Li, Chong; Li, Shujie; Liu, Zhaoli; Pan, Jianzhong
2008
Nodal solutions of a perturbed elliptic problem. Zbl 1173.35497
Li, Yi; Liu, Zhaoli; Zhao, Chunshan
2008
A mesoscale investigation of strain rate effect on dynamic deformation of single-crystal copper. Zbl 1169.74363
Liu, Z. L.; You, X. C.; Zhuang, Z.
2008
Existence of type (II) regions and convexity and concavity of potential functionals corresponding to jumping nonlinear problems. Zbl 1143.35058
Li, Chong; Li, Shujie; Liu, Zhaoli
2008
Sign changing solutions with clustered layers near the origin for singularly perturbed semilinear elliptic problems on a ball. Zbl 1175.35061
Du, Yihong; Liu, Zhaoli; Pistoia, Angela; Yan, Shusen
2008
A bounded resonance problem for semilinear elliptic equations. Zbl 1143.35049
Su, Jiabao; Liu, Zhaoli
2007
Compactness results for Schrödinger equations with asymptotically linear terms. Zbl 1387.35246
Liu, Zhaoli; Su, Jiabao; Weth, Tobias
2006
Multiplicity of solutions for some elliptic equations involving critical and supercritical Sobolev exponents. Zbl 1142.35039
Li, Shujie; Liu, Zhaoli
2006
Multiple solutions of nonlinear Schrödinger equations via flow invariance and Morse theory. Zbl 1128.35045
Liu, Zhaoli; Wang, Zhi-Qiang; Weth, Tobias
2006
Enriched machining feature-based reasoning for generic machining process sequencing. Zbl 1128.90468
Wang, L.; Cai, N.; Feng, H.-Y.; Liu, Z.
2006
Nodal solutions of a $$p$$-Laplacian equation. Zbl 1162.35364
Bartsch, Thomas; Liu, Zhaoli; Weth, Tobias
2005
Schrödinger equations with concave and convex nonlinearities. Zbl 1113.35071
Liu, Zhaoli; Wang, Zhi-Qiang
2005
Nodal type bound states of Schrödinger equations via invariant set and minimax methods. Zbl 1210.35044
Liu, Zhaoli; van Heerden, Francois A.; Wang, Zhi-Qiang
2005
Multi-bump type nodal solutions having a prescribed number of nodal domains. I. Zbl 1130.35054
Liu, Zhaoli; Wang, Zhi-Qiang
2005
Multi-bump type nodal solutions having a prescribed number of nodal domains. II. Zbl 1330.35154
Liu, Zhaoli; Wang, Zhi-Qiang
2005
An elliptic problem with jumping nonlinearities. Zbl 1161.35395
Liu, Zhaoli; Sun, Jingxian
2005
Modelling chemo-hydro-mechanical behaviour of unsaturated clays: a feasibility study. Zbl 1105.74304
Liu, Z.; Boukpeti, Nathalie; Li, X.; Collin, F.; Radu, J.-P.; Hueckel, T.; Charlier, R.
2005
Sign changing solutions of superlinear Schrödinger equations. Zbl 1140.35410
Bartsch, Thomas; Liu, Zhaoli; Weth, Tobias
2004
On a superlinear elliptic $$p$$-Laplacian equation. Zbl 1087.35034
Bartsch, Thomas; Liu, Zhaoli
2004
On the Ambrosetti-Rabinowitz superlinear condition. Zbl 1113.35048
Liu, Zhaoli; Wang, Zhi-Qiang
2004
Multiple sign changing solutions of a quasilinear elliptic eigenvalue problem involving the $$p$$-Laplacian. Zbl 1086.35074
Bartsch, Thomas; Liu, Zhaoli
2004
Existence of a positive solution of an elliptic equation on $$\mathbb R^N$$. Zbl 1067.35029
Liu, Zhaoli; Wang, Zhiqiang
2004
Solutions of some nonlinear elliptic problems with perturbation terms of arbitrary growth. Zbl 1205.35118
Liu, Zhaoli; Su, Jiabao
2004
Location and critical groups of critical points in Banach spaces with an application to nonlinear eigenvalue problems. Zbl 1100.58005
Bartsch, Thomas; Liu, Zhaoli
2004
High Reynolds number oscillating contact lines. Zbl 1163.74420
Perlin, M.; Schultz, W. W.; Liu, Z.
2004
Contractibility of level sets of functionals associated with some elliptic boundary value problems and applications. Zbl 1290.35052
Liu, Zhaoli; Li, Shujie
2003
Nontrivial solutions for perturbed $$p$$-Laplacian on $$\mathbb R^N$$. Zbl 1161.35399
Su, Jiabao; Liu, Zhaoli
2003
Number of invariant sets of descending flow with applications in critical point theory. Zbl 1048.58008
Liu, Zhaoli; Sun, Jingxian
2003
Perturbations from symmetric elliptic boundary value problems. Zbl 1032.35066
Li, Shujie; Liu, Zhaoli
2002
Four versus two solutions of semilinear elliptic boundary value problems. Zbl 0996.35017
Liu, Zhaoli; Sun, Jingxian
2002
Multiplicity of solutions of semilinear elliptic boundary value problems with jumping nonlinearities at zero. Zbl 1033.35038
Liu, Zhaoli
2002
Perturbations of symmetric eigenvalue problems. Zbl 1020.35068
Li, Yongqing; Liu, Zhaoli
2002
Positive solutions of a class of nonlinear eigenvalue problems. Zbl 1050.35060
Liu, Zhaoli
2002
Invariant sets of descending flow in critical point theory with applications to nonlinear differential equations. Zbl 0995.58006
Liu, Zhaoli; Sun, Jingxian
2001
Large-scale modes of turbulent channel flow: transport and structure. Zbl 1102.76314
Liu, Z.; Adrian, R. J.; Hanratty, T. J.
2001
Exact number of solutions of a class of two-point boundary value problems involving concave and convex nonlinearities. Zbl 1003.34020
Liu, Zhaoli
2001
A class of two-point boundary value problems. Zbl 0983.34010
Liu, Zhaoli; Zhang, Xuemei
2001
Multiple and sign changing solutions of an elliptic eigenvalue problem with constraint. Zbl 1054.35047
Li, Yongqing; Liu, Zhaoli
2001
Image fusion by using steerable pyramid. Zbl 1029.68626
Liu, Z.; Tsukada, K.; Hanasaki, K.; Ho, Y. K.; Dai, Y. P.
2001
Positive solutions of elliptic boundary value problems without the (P. S.) type assumption. Zbl 1030.35078
Liu, Zhaoli; Li, Shujie; Wang, Zhi-Qiang
2001
Solutions of an elliptic eigenvalue problem involving subcritical or critical exponents. Zbl 1086.35076
Liu, Zhaoli; Li, Yongqing
2001
On the existence of positive solutions of an elliptic boundary value problem. Zbl 0962.35066
Liu, Zhaoli; Li, Fuyi
2000
Positive solutions of superlinear elliptic equations. Zbl 0951.35051
Liu, Zhaoli
1999
Multiple positive solutions of some nonlinear operator equations and their applications. Zbl 1012.47046
Li, Fuyi; Liu, Zhaoli
1998
An analysis of the distortion and breakup mechanisms of high speed liquid drops. Zbl 1135.76481
Liu, Z.; Reitz, R. D.
1997
Multiple positive solutions of nonlinear two-point boundary value problems. Zbl 0878.34016
Liu, Zhaoli; Li, Fuyi
1996
Periodic solutions for nonlinear $$n$$th order ordinary differential equations. Zbl 0873.34032
Liu, Zhaoli
1996
Calculus of variations and super- and sub-solutions in reverse order. Zbl 0810.47059
Sun, Jingxian; Liu, Zhaoli
1994
Fourth order finite difference and multigrid methods for modeling instabilities in flat plate boundary layers – 2-D and 3-D approaches. Zbl 0813.76061
Liu, Z.; Liu, Chaoqun
1994
A new method for large amplitude sloshing problems. Zbl 0945.76545
Liu, Z.; Huang, Y.
1994
A topological property of boundaries of bounded open sets in the plane. Zbl 0831.54027
Liu, Zhaoli
1994
High order finite difference and multigrid methods for spatially evolving instability in a planar channel. Zbl 0769.76038
Liu, C.; Liu, Z.
1993
On Dancer’s conjecture and multiple solutions of elliptic partial differential equations. Zbl 0818.35031
Liu, Zhaoli
1993
An efficient multigrid scheme for elliptic equations with discontinuous coefficients. Zbl 0759.65082
Liu, C.; Liu, Z.; McCormick, S.
1992
Integral equations of Hammerstein type with general kernel. Zbl 0764.45004
Liu, Zhaoli
1992
Multigrid methods for flow transition in a planar channel. Zbl 0900.76080
Liu, C.; Liu, Z.; McCormick, S.
1991
Multilevel adaptive methods for incompressible flow in grooved channels. Zbl 0742.76056
Liu, C.; Liu, Z.; McCormick, S.
1991
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### Cited by 826 Authors

 42 Wang, Zhi-Qiang 33 Liu, Zhaoli 29 Papageorgiou, Nikolaos S. 26 Tang, Xianhua 25 Zou, Wenming 18 Liu, Xiangqing 18 Zhang, Zhitao 14 Liu, Jiaquan 14 Wang, Jun 13 Li, Fuyi 13 Li, Shujie 11 Bartsch, Thomas J. 11 Ge, Weigao 11 He, Tieshan 11 Li, Yongxiang 11 Sun, Jingxian 11 Zhang, Jihui 10 Liu, Haidong 10 Su, Jiabao 10 Zhang, Xuemei 9 Alves, Claudianor Oliveira 9 Mao, Anmin 9 Peng, Shuangjie 9 Sun, Mingzheng 9 Weth, Tobias 8 Feng, Meiqiang 8 Ma, Ruyun 8 Zhang, Fubao 8 Zhao, Fukun 7 Chen, Haibo 7 Chen, Zhijie 7 Cheng, Bitao 7 Figueiredo, Giovany Malcher 7 Guo, Yuxia 7 Li, Yongqing 7 Liang, Zhanping 7 Liu, Weiming 7 Molica Bisci, Giovanni 7 Xu, Junxiang 7 Yang, Zhilin 7 Zhao, Leiga 6 Chen, Shaowei 6 Chen, Sitong 6 Guo, Hui 6 Huang, Yisheng 6 Liu, Chungen 6 Liu, Shibo 6 Liu, Zhenhai 6 Liu, Zhisu 6 Pan, Hongjing 6 Sato, Yohei 6 Schechter, Martin 6 Soave, Nicola 6 Tavares, Hugo 6 Tian, Rushun 6 Wang, Dabin 6 Wu, Tsungfang 6 Xing, Ruixiang 6 Zhang, Jianjun 5 Ambrosio, Vincenzo 5 Anello, Giovanni 5 Byeon, Jaeyoung 5 Chen, Caisheng 5 Cheng, Jiangang 5 Chu, Changmu 5 Cui, Yujun 5 Dai, Guowei 5 Guan, Wen 5 Huang, Chen 5 Jia, Gao 5 Li, Chong 5 Li, Yuhua 5 Lin, Xiaoyan 5 Long, Wei 5 Long, Yuhua 5 Luo, Haijun 5 O’Regan, Donal 5 Passaseo, Donato 5 Pei, Ruichang 5 Peng, Yanfang 5 Qin, Dongdong 5 Rădulescu, Vicenţiu D. 5 Shan, Yuan 5 Shi, Junping 5 Shuai, Wei 5 Wang, Qingfang 5 Yang, Yang 5 Ye, Hongyu 5 Zhang, Binlin 4 Ackermann, Nils 4 Chen, Jianhua 4 Chen, Jianqing 4 Clapp, Mónica 4 Colorado, Eduardo 4 Dalbono, Francesca 4 Ding, Yanheng 4 Do Ó, João M. Bezerra 4 Franca, Matteo 4 Gao, Zu 4 Geng, Qiuping ...and 726 more Authors
all top 5

### Cited in 135 Serials

 116 Journal of Mathematical Analysis and Applications 85 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 47 Journal of Differential Equations 38 Calculus of Variations and Partial Differential Equations 32 Boundary Value Problems 23 Communications on Pure and Applied Analysis 22 Journal of Mathematical Physics 22 Applied Mathematics Letters 21 Discrete and Continuous Dynamical Systems 20 Complex Variables and Elliptic Equations 19 Journal of Functional Analysis 16 Computers & Mathematics with Applications 16 Communications in Contemporary Mathematics 16 Advanced Nonlinear Studies 15 ZAMP. Zeitschrift für angewandte Mathematik und Physik 15 Abstract and Applied Analysis 14 Applicable Analysis 13 Applied Mathematics and Computation 12 Nonlinear Analysis. Real World Applications 11 NoDEA. Nonlinear Differential Equations and Applications 10 AIMS Mathematics 9 Journal of Function Spaces 8 Annali di Matematica Pura ed Applicata. Serie Quarta 8 Mediterranean Journal of Mathematics 8 Advances in Nonlinear Analysis 7 Mathematical Methods in the Applied Sciences 7 Mathematische Nachrichten 7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 7 Acta Mathematica Sinica. English Series 6 Proceedings of the American Mathematical Society 6 Transactions of the American Mathematical Society 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 Journal of Applied Mathematics and Computing 6 Advances in Difference Equations 6 Science China. Mathematics 5 Monatshefte für Mathematik 5 Acta Mathematicae Applicatae Sinica. English Series 5 Communications in Partial Differential Equations 5 Journal of Fixed Point Theory and Applications 5 Journal of Applied Analysis and Computation 4 Archive for Rational Mechanics and Analysis 4 Journal of Computational Physics 4 Rocky Mountain Journal of Mathematics 4 Glasgow Mathematical Journal 4 Journal of Computational and Applied Mathematics 4 The Journal of Geometric Analysis 4 SIAM Journal on Mathematical Analysis 4 Journal of Dynamics and Differential Equations 4 Topological Methods in Nonlinear Analysis 4 Discrete Dynamics in Nature and Society 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 Electronic Research Archive 4 SN Partial Differential Equations and Applications 3 Indian Journal of Pure & Applied Mathematics 3 Journal d’Analyse Mathématique 3 Nonlinearity 3 Mathematical and Computer Modelling 3 Electronic Journal of Differential Equations (EJDE) 3 Journal of Convex Analysis 3 Positivity 3 Journal of Dynamical and Control Systems 3 Annales Henri Poincaré 3 Discrete and Continuous Dynamical Systems. Series B 3 Journal of Applied Mathematics 3 Acta Mathematica Scientia. Series B. (English Edition) 3 Discrete and Continuous Dynamical Systems. Series S 3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 3 Open Mathematics 2 Chaos, Solitons and Fractals 2 Advances in Mathematics 2 Applied Mathematics and Optimization 2 Manuscripta Mathematica 2 Results in Mathematics 2 Acta Applicandae Mathematicae 2 Science in China. Series A 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 SIAM Journal on Scientific Computing 2 Bulletin des Sciences Mathématiques 2 Journal of Difference Equations and Applications 2 Mathematical Problems in Engineering 2 Taiwanese Journal of Mathematics 2 Frontiers of Mathematics in China 2 Asian-European Journal of Mathematics 2 Journal of Nonlinear Science and Applications 2 Advances in Mathematical Physics 2 International Journal of Differential Equations 2 Set-Valued and Variational Analysis 2 Minimax Theory and its Applications 1 Bulletin of the Australian Mathematical Society 1 Communications in Mathematical Physics 1 Communications on Pure and Applied Mathematics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Indiana University Mathematics Journal 1 Journal of the Korean Mathematical Society 1 Numerical Functional Analysis and Optimization 1 Osaka Journal of Mathematics 1 Pacific Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Rendiconti del Seminario Matematico della Università di Padova 1 Tohoku Mathematical Journal. Second Series ...and 35 more Serials
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### Cited in 27 Fields

 715 Partial differential equations (35-XX) 149 Ordinary differential equations (34-XX) 103 Global analysis, analysis on manifolds (58-XX) 99 Operator theory (47-XX) 36 Calculus of variations and optimal control; optimization (49-XX) 26 Dynamical systems and ergodic theory (37-XX) 18 Quantum theory (81-XX) 17 Difference and functional equations (39-XX) 12 Integral equations (45-XX) 11 Functional analysis (46-XX) 9 Numerical analysis (65-XX) 6 Mechanics of particles and systems (70-XX) 5 Optics, electromagnetic theory (78-XX) 4 Real functions (26-XX) 4 Potential theory (31-XX) 4 Differential geometry (53-XX) 4 Fluid mechanics (76-XX) 4 Statistical mechanics, structure of matter (82-XX) 2 Mechanics of deformable solids (74-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Algebraic topology (55-XX) 1 Probability theory and stochastic processes (60-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX)