Edit Profile (opens in new tab) Liu, Zhaoli Compute Distance To: Compute 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 all top 5 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 1140.35410Bartsch, Thomas; Liu, Zhaoli; Weth, Tobias 130 2004 Invariant sets of descending flow in critical point theory with applications to nonlinear differential equations. Zbl 0995.58006Liu, Zhaoli; Sun, Jingxian 119 2001 On a superlinear elliptic \(p\)-Laplacian equation. Zbl 1087.35034Bartsch, Thomas; Liu, Zhaoli 94 2004 Multiple bound states of nonlinear Schrödinger systems. Zbl 1156.35093Liu, Zhaoli; Wang, Zhi-Qiang 91 2008 Nodal solutions of a \(p\)-Laplacian equation. Zbl 1162.35364Bartsch, Thomas; Liu, Zhaoli; Weth, Tobias 81 2005 Ground states and bound states of a nonlinear Schrödinger system. Zbl 1198.35067Liu, Zhaoli; Wang, Zhi-Qiang 79 2010 Multiple positive solutions of nonlinear two-point boundary value problems. Zbl 0878.34016Liu, Zhaoli; Li, Fuyi 72 1996 Infinitely many sign-changing solutions for the nonlinear Schrödinger-Poisson system. Zbl 1341.35041Liu, Zhaoli; Wang, Zhi-Qiang; Zhang, Jianjun 70 2016 On the Ambrosetti-Rabinowitz superlinear condition. Zbl 1113.35048Liu, Zhaoli; Wang, Zhi-Qiang 65 2004 Schrödinger equations with concave and convex nonlinearities. Zbl 1113.35071Liu, Zhaoli; Wang, Zhi-Qiang 38 2005 On Clark’s theorem and its applications to partially sublinear problems. Zbl 1333.58004Liu, Zhaoli; Wang, Zhi-Qiang 37 2015 Nodal type bound states of Schrödinger equations via invariant set and minimax methods. Zbl 1210.35044Liu, Zhaoli; van Heerden, Francois A.; Wang, Zhi-Qiang 31 2005 Perturbations from symmetric elliptic boundary value problems. Zbl 1032.35066Li, Shujie; Liu, Zhaoli 29 2002 Compactness results for Schrödinger equations with asymptotically linear terms. Zbl 1387.35246Liu, Zhaoli; Su, Jiabao; Weth, Tobias 24 2006 Exact number of solutions of a prescribed mean curvature equation. Zbl 1206.34038Li, Weisheng; Liu, Zhaoli 23 2010 Large-scale modes of turbulent channel flow: transport and structure. Zbl 1102.76314Liu, Z.; Adrian, R. J.; Hanratty, T. J. 22 2001 Exact number of solutions of a class of two-point boundary value problems involving concave and convex nonlinearities. Zbl 1003.34020Liu, Zhaoli 19 2001 Multiple sign changing solutions of a quasilinear elliptic eigenvalue problem involving the \(p\)-Laplacian. Zbl 1086.35074Bartsch, Thomas; Liu, Zhaoli 18 2004 A class of two-point boundary value problems. Zbl 0983.34010Liu, Zhaoli; Zhang, Xuemei 17 2001 Positive solutions of superlinear elliptic equations. Zbl 0951.35051Liu, Zhaoli 16 1999 Solutions of elliptic problems with nonlinearities of linear growth. Zbl 1177.35095Liu, Zhaoli; Su, Jiabao; Wang, Zhi-Qiang 14 2009 Multi-bump solutions for a semilinear Schrödinger equation. Zbl 1187.35239Lin, Lishan; Liu, Zhaoli; Chen, Shaowei 12 2009 Multi-bump type nodal solutions having a prescribed number of nodal domains. I. Zbl 1130.35054Liu, Zhaoli; Wang, Zhi-Qiang 11 2005 A twist condition and periodic solutions of Hamiltonian systems. Zbl 1144.37027Liu, Zhaoli; Su, Jiabao; Wang, Zhi-Qiang 11 2008 Multi-bump type nodal solutions having a prescribed number of nodal domains. II. Zbl 1330.35154Liu, Zhaoli; Wang, Zhi-Qiang 10 2005 Existence and uniqueness of positive solutions of nonlinear Schrödinger systems. Zbl 1325.35203Liu, Haidong; Liu, Zhaoli; Chang, Jinyong 10 2015 Sign-changing solutions of nonlinear elliptic equations. Zbl 1158.35370Liu, Zhaoli; Wang, Zhi-Qiang 10 2008 Multiple and sign changing solutions of an elliptic eigenvalue problem with constraint. Zbl 1054.35047Li, Yongqing; Liu, Zhaoli 9 2001 On the existence of anti-periodic solutions for implicit differential equations. Zbl 1249.35001Liu, J.; Liu, Z. 9 2011 Calculus of variations and super- and sub-solutions in reverse order. Zbl 0810.47059Sun, Jingxian; Liu, Zhaoli 9 1994 An efficient multigrid scheme for elliptic equations with discontinuous coefficients. Zbl 0759.65082Liu, C.; Liu, Z.; McCormick, S. 9 1992 On the Fucík spectrum. Zbl 1148.35055Li, Chong; Li, Shujie; Liu, Zhaoli; Pan, Jianzhong 9 2008 A multi-scale computational model of crystal plasticity at submicron-to-nanometer scales. Zbl 1235.74013Liu, Z. L.; Liu, X. M.; Zhuang, Z.; You, X. C. 9 2009 Fourth order finite difference and multigrid methods for modeling instabilities in flat plate boundary layers – 2-D and 3-D approaches. Zbl 0813.76061Liu, Z.; Liu, Chaoqun 8 1994 High order finite difference and multigrid methods for spatially evolving instability in a planar channel. Zbl 0769.76038Liu, C.; Liu, Z. 8 1993 Multi-bump solutions and multi-tower solutions for equations on \(\mathbb R^N\). Zbl 1171.35114Lin, Lishan; Liu, Zhaoli 8 2009 Ground states of nonlinear Schrödinger systems. Zbl 1189.35076Chang, Jinyong; Liu, Zhaoli 8 2010 Multiplicity of solutions for some elliptic equations involving critical and supercritical Sobolev exponents. Zbl 1142.35039Li, Shujie; Liu, Zhaoli 8 2006 Existence of a positive solution of an elliptic equation on \(\mathbb R^N\). Zbl 1067.35029Liu, Zhaoli; Wang, Zhiqiang 7 2004 Ground states of a nonlinear Schrödinger system with nonconstant potentials. Zbl 1311.35290Liu, HaiDong; Liu, ZhaoLi 7 2015 An elliptic problem with jumping nonlinearities. Zbl 1161.35395Liu, Zhaoli; Sun, Jingxian 7 2005 Solutions of some nonlinear elliptic problems with perturbation terms of arbitrary growth. Zbl 1205.35118Liu, Zhaoli; Su, Jiabao 6 2004 Infinitely many solutions of \(p\)-sublinear \(p\)-Laplacian equations. Zbl 1318.35055Jing, Yongtao; Liu, Zhaoli 6 2015 Location and critical groups of critical points in Banach spaces with an application to nonlinear eigenvalue problems. Zbl 1100.58005Bartsch, Thomas; Liu, Zhaoli 6 2004 Multiple solutions of nonlinear Schrödinger equations via flow invariance and Morse theory. Zbl 1128.35045Liu, Zhaoli; Wang, Zhi-Qiang; Weth, Tobias 6 2006 Positive solutions of a nonlinear Schrödinger system with nonconstant potentials. Zbl 1352.35038Liu, Haidong; Liu, Zhaoli 6 2016 An analysis of the distortion and breakup mechanisms of high speed liquid drops. Zbl 1135.76481Liu, Z.; Reitz, R. D. 6 1997 Periodic solutions for nonlinear \(n\)th order ordinary differential equations. Zbl 0873.34032Liu, Zhaoli 6 1996 Generalized moment estimation for uncertain differential equations. Zbl 07332912Liu, Z. 6 2021 Four versus two solutions of semilinear elliptic boundary value problems. Zbl 0996.35017Liu, Zhaoli; Sun, Jingxian 5 2002 On Dancer’s conjecture and multiple solutions of elliptic partial differential equations. Zbl 0818.35031Liu, Zhaoli 5 1993 Nodal solutions of a perturbed elliptic problem. Zbl 1173.35497Li, Yi; Liu, Zhaoli; Zhao, Chunshan 5 2008 Finite amplitude steady-state wave groups with multiple near resonances in deep water. Zbl 1421.76026Liu, Z.; Xu, D. L.; Liao, S. J. 5 2018 Multiple positive solutions of some nonlinear operator equations and their applications. Zbl 1012.47046Li, Fuyi; Liu, Zhaoli 4 1998 Multiple solutions of a parameter-dependent quasilinear elliptic equation. Zbl 1361.35063Jing, Yongtao; Liu, Zhaoli; Wang, Zhi-Qiang 4 2016 Finite-amplitude steady-state wave groups with multiple near-resonances in finite water depth. Zbl 1415.76075Liu, Z.; Xie, D. 3 2019 Contractibility of level sets of functionals associated with some elliptic boundary value problems and applications. Zbl 1290.35052Liu, Zhaoli; Li, Shujie 3 2003 A mesoscale investigation of strain rate effect on dynamic deformation of single-crystal copper. Zbl 1169.74363Liu, Z. L.; You, X. C.; Zhuang, Z. 3 2008 High Reynolds number oscillating contact lines. Zbl 1163.74420Perlin, M.; Schultz, W. W.; Liu, Z. 3 2004 Multiplicity of solutions of semilinear elliptic boundary value problems with jumping nonlinearities at zero. Zbl 1033.35038Liu, Zhaoli 3 2002 Existence of type (II) regions and convexity and concavity of potential functionals corresponding to jumping nonlinear problems. Zbl 1143.35058Li, Chong; Li, Shujie; Liu, Zhaoli 3 2008 Image fusion by using steerable pyramid. Zbl 1029.68626Liu, Z.; Tsukada, K.; Hanasaki, K.; Ho, Y. K.; Dai, Y. P. 3 2001 Multigrid methods for flow transition in a planar channel. Zbl 0900.76080Liu, C.; Liu, Z.; McCormick, S. 3 1991 Enriched machining feature-based reasoning for generic machining process sequencing. Zbl 1128.90468Wang, L.; Cai, N.; Feng, H.-Y.; Liu, Z. 3 2006 A coupled Schrödinger system with critical exponent. Zbl 1448.35170Liu, Haidong; Liu, Zhaoli 3 2020 Positive solutions of elliptic boundary value problems without the (P. S.) type assumption. Zbl 1030.35078Liu, Zhaoli; Li, Shujie; Wang, Zhi-Qiang 2 2001 Perturbations of symmetric eigenvalue problems. Zbl 1020.35068Li, Yongqing; Liu, Zhaoli 2 2002 Positive solutions of a class of nonlinear eigenvalue problems. Zbl 1050.35060Liu, Zhaoli 2 2002 A new method for large amplitude sloshing problems. Zbl 0945.76545Liu, Z.; Huang, Y. 2 1994 A topological property of boundaries of bounded open sets in the plane. Zbl 0831.54027Liu, Zhaoli 2 1994 Perturbed elliptic equations with oscillatory nonlinearities. Zbl 1250.35079Guo, Zuji; Liu, Zhaoli 2 2012 Analytical and numerical studies on simple shear of a bimaterial strip by using elastic micromorphic theory. Zbl 1291.74057Zhang, Z. H.; Nie, J. F.; Liu, Z. L.; Gao, Y.; Zhuang, Z. 2 2012 Multilevel adaptive methods for incompressible flow in grooved channels. Zbl 0742.76056Liu, C.; Liu, Z.; McCormick, S. 2 1991 Radial solutions of a supercritical elliptic equation with Hardy potential. Zbl 1247.35021Guo, Zuji; Liu, Zhaoli 2 2012 Solutions of an elliptic eigenvalue problem involving subcritical or critical exponents. Zbl 1086.35076Liu, Zhaoli; Li, Yongqing 2 2001 Normalized solutions for a class of nonlinear Choquard equations. Zbl 1459.35173Bartsch, Thomas; Liu, Yanyan; Liu, Zhaoli 2 2020 Pharmacokinetic model based on multifactor uncertain differential equation. Zbl 07332910Liu, Z.; Yang, Y. 2 2021 Vector solutions with prescribed component-wise nodes for a Schrödinger system. Zbl 1438.35393Liu, Zhaoli; Wang, Zhiqiang 2 2019 Multi-bubble solutions for equations of Caffarelli-Kohn-Nirenberg type. Zbl 1236.35027Lin, Lishan; Liu, Zhaoli 1 2011 Nontrivial solutions for perturbed \(p\)-Laplacian on \(\mathbb R^N\). Zbl 1161.35399Su, Jiabao; Liu, Zhaoli 1 2003 Modelling chemo-hydro-mechanical behaviour of unsaturated clays: a feasibility study. Zbl 1105.74304Liu, Z.; Boukpeti, Nathalie; Li, X.; Collin, F.; Radu, J.-P.; Hueckel, T.; Charlier, R. 1 2005 On the existence of positive solutions of an elliptic boundary value problem. Zbl 0962.35066Liu, Zhaoli; Li, Fuyi 1 2000 Number of invariant sets of descending flow with applications in critical point theory. Zbl 1048.58008Liu, Zhaoli; Sun, Jingxian 1 2003 Sign changing solutions with clustered layers near the origin for singularly perturbed semilinear elliptic problems on a ball. Zbl 1175.35061Du, Yihong; Liu, Zhaoli; Pistoia, Angela; Yan, Shusen 1 2008 A variant of Clark’s theorem and its applications for nonsmooth functionals without the Palais-Smale condition. Zbl 1366.35026Chen, Shaowei; Liu, Zhaoli; Wang, Zhi-Qiang 1 2017 Bifurcation surfaces stemming from the Fučik spectrum. Zbl 1394.35307Li, Chong; Li, Shujie; Liu, Zhaoli 1 2012 Multiple positive solutions of elliptic systems in exterior domains. Zbl 1401.35120Liu, Haidong; Liu, Zhaoli 1 2018 Integral equations of Hammerstein type with general kernel. Zbl 0764.45004Liu, Zhaoli 1 1992 Elliptic systems on \(\mathbb R^{N}\) with nonlinearities of linear growth. Zbl 1253.35053Liu, Zhaoli; Su, Jiabao; Wang, Zhi-Qiang 1 2011 A bounded resonance problem for semilinear elliptic equations. Zbl 1143.35049Su, Jiabao; Liu, Zhaoli 1 2007 Existence results for a singular quasilinear elliptic equation. Zbl 1366.35027Jing, Yongtao; Liu, Zhaoli; Wang, Zhi-Qiang 1 2017 Generalized moment estimation for uncertain differential equations. Zbl 07332912Liu, Z. 6 2021 Pharmacokinetic model based on multifactor uncertain differential equation. Zbl 07332910Liu, Z.; Yang, Y. 2 2021 A coupled Schrödinger system with critical exponent. Zbl 1448.35170Liu, Haidong; Liu, Zhaoli 3 2020 Normalized solutions for a class of nonlinear Choquard equations. Zbl 1459.35173Bartsch, Thomas; Liu, Yanyan; Liu, Zhaoli 2 2020 Finite-amplitude steady-state wave groups with multiple near-resonances in finite water depth. Zbl 1415.76075Liu, Z.; Xie, D. 3 2019 Vector solutions with prescribed component-wise nodes for a Schrödinger system. Zbl 1438.35393Liu, Zhaoli; Wang, Zhiqiang 2 2019 Finite amplitude steady-state wave groups with multiple near resonances in deep water. Zbl 1421.76026Liu, Z.; Xu, D. L.; Liao, S. J. 5 2018 Multiple positive solutions of elliptic systems in exterior domains. Zbl 1401.35120Liu, Haidong; Liu, Zhaoli 1 2018 A variant of Clark’s theorem and its applications for nonsmooth functionals without the Palais-Smale condition. Zbl 1366.35026Chen, Shaowei; Liu, Zhaoli; Wang, Zhi-Qiang 1 2017 Existence results for a singular quasilinear elliptic equation. Zbl 1366.35027Jing, Yongtao; Liu, Zhaoli; Wang, Zhi-Qiang 1 2017 Infinitely many sign-changing solutions for the nonlinear Schrödinger-Poisson system. Zbl 1341.35041Liu, Zhaoli; Wang, Zhi-Qiang; Zhang, Jianjun 70 2016 Positive solutions of a nonlinear Schrödinger system with nonconstant potentials. Zbl 1352.35038Liu, Haidong; Liu, Zhaoli 6 2016 Multiple solutions of a parameter-dependent quasilinear elliptic equation. Zbl 1361.35063Jing, Yongtao; Liu, Zhaoli; Wang, Zhi-Qiang 4 2016 On Clark’s theorem and its applications to partially sublinear problems. Zbl 1333.58004Liu, Zhaoli; Wang, Zhi-Qiang 37 2015 Existence and uniqueness of positive solutions of nonlinear Schrödinger systems. Zbl 1325.35203Liu, Haidong; Liu, Zhaoli; Chang, Jinyong 10 2015 Ground states of a nonlinear Schrödinger system with nonconstant potentials. Zbl 1311.35290Liu, HaiDong; Liu, ZhaoLi 7 2015 Infinitely many solutions of \(p\)-sublinear \(p\)-Laplacian equations. Zbl 1318.35055Jing, Yongtao; Liu, Zhaoli 6 2015 Perturbed elliptic equations with oscillatory nonlinearities. Zbl 1250.35079Guo, Zuji; Liu, Zhaoli 2 2012 Analytical and numerical studies on simple shear of a bimaterial strip by using elastic micromorphic theory. Zbl 1291.74057Zhang, Z. H.; Nie, J. F.; Liu, Z. L.; Gao, Y.; Zhuang, Z. 2 2012 Radial solutions of a supercritical elliptic equation with Hardy potential. Zbl 1247.35021Guo, Zuji; Liu, Zhaoli 2 2012 Bifurcation surfaces stemming from the Fučik spectrum. Zbl 1394.35307Li, Chong; Li, Shujie; Liu, Zhaoli 1 2012 On the existence of anti-periodic solutions for implicit differential equations. Zbl 1249.35001Liu, J.; Liu, Z. 9 2011 Multi-bubble solutions for equations of Caffarelli-Kohn-Nirenberg type. Zbl 1236.35027Lin, Lishan; Liu, Zhaoli 1 2011 Elliptic systems on \(\mathbb R^{N}\) with nonlinearities of linear growth. Zbl 1253.35053Liu, Zhaoli; Su, Jiabao; Wang, Zhi-Qiang 1 2011 Ground states and bound states of a nonlinear Schrödinger system. Zbl 1198.35067Liu, Zhaoli; Wang, Zhi-Qiang 79 2010 Exact number of solutions of a prescribed mean curvature equation. Zbl 1206.34038Li, Weisheng; Liu, Zhaoli 23 2010 Ground states of nonlinear Schrödinger systems. Zbl 1189.35076Chang, Jinyong; Liu, Zhaoli 8 2010 Solutions of elliptic problems with nonlinearities of linear growth. Zbl 1177.35095Liu, Zhaoli; Su, Jiabao; Wang, Zhi-Qiang 14 2009 Multi-bump solutions for a semilinear Schrödinger equation. Zbl 1187.35239Lin, Lishan; Liu, Zhaoli; Chen, Shaowei 12 2009 A multi-scale computational model of crystal plasticity at submicron-to-nanometer scales. Zbl 1235.74013Liu, Z. L.; Liu, X. M.; Zhuang, Z.; You, X. C. 9 2009 Multi-bump solutions and multi-tower solutions for equations on \(\mathbb R^N\). Zbl 1171.35114Lin, Lishan; Liu, Zhaoli 8 2009 Multiple bound states of nonlinear Schrödinger systems. Zbl 1156.35093Liu, Zhaoli; Wang, Zhi-Qiang 91 2008 A twist condition and periodic solutions of Hamiltonian systems. Zbl 1144.37027Liu, Zhaoli; Su, Jiabao; Wang, Zhi-Qiang 11 2008 Sign-changing solutions of nonlinear elliptic equations. Zbl 1158.35370Liu, Zhaoli; Wang, Zhi-Qiang 10 2008 On the Fucík spectrum. Zbl 1148.35055Li, Chong; Li, Shujie; Liu, Zhaoli; Pan, Jianzhong 9 2008 Nodal solutions of a perturbed elliptic problem. Zbl 1173.35497Li, Yi; Liu, Zhaoli; Zhao, Chunshan 5 2008 A mesoscale investigation of strain rate effect on dynamic deformation of single-crystal copper. Zbl 1169.74363Liu, Z. L.; You, X. C.; Zhuang, Z. 3 2008 Existence of type (II) regions and convexity and concavity of potential functionals corresponding to jumping nonlinear problems. Zbl 1143.35058Li, Chong; Li, Shujie; Liu, Zhaoli 3 2008 Sign changing solutions with clustered layers near the origin for singularly perturbed semilinear elliptic problems on a ball. Zbl 1175.35061Du, Yihong; Liu, Zhaoli; Pistoia, Angela; Yan, Shusen 1 2008 A bounded resonance problem for semilinear elliptic equations. Zbl 1143.35049Su, Jiabao; Liu, Zhaoli 1 2007 Compactness results for Schrödinger equations with asymptotically linear terms. Zbl 1387.35246Liu, Zhaoli; Su, Jiabao; Weth, Tobias 24 2006 Multiplicity of solutions for some elliptic equations involving critical and supercritical Sobolev exponents. Zbl 1142.35039Li, Shujie; Liu, Zhaoli 8 2006 Multiple solutions of nonlinear Schrödinger equations via flow invariance and Morse theory. Zbl 1128.35045Liu, Zhaoli; Wang, Zhi-Qiang; Weth, Tobias 6 2006 Enriched machining feature-based reasoning for generic machining process sequencing. Zbl 1128.90468Wang, L.; Cai, N.; Feng, H.-Y.; Liu, Z. 3 2006 Nodal solutions of a \(p\)-Laplacian equation. Zbl 1162.35364Bartsch, Thomas; Liu, Zhaoli; Weth, Tobias 81 2005 Schrödinger equations with concave and convex nonlinearities. Zbl 1113.35071Liu, Zhaoli; Wang, Zhi-Qiang 38 2005 Nodal type bound states of Schrödinger equations via invariant set and minimax methods. Zbl 1210.35044Liu, Zhaoli; van Heerden, Francois A.; Wang, Zhi-Qiang 31 2005 Multi-bump type nodal solutions having a prescribed number of nodal domains. I. Zbl 1130.35054Liu, Zhaoli; Wang, Zhi-Qiang 11 2005 Multi-bump type nodal solutions having a prescribed number of nodal domains. II. Zbl 1330.35154Liu, Zhaoli; Wang, Zhi-Qiang 10 2005 An elliptic problem with jumping nonlinearities. Zbl 1161.35395Liu, Zhaoli; Sun, Jingxian 7 2005 Modelling chemo-hydro-mechanical behaviour of unsaturated clays: a feasibility study. Zbl 1105.74304Liu, Z.; Boukpeti, Nathalie; Li, X.; Collin, F.; Radu, J.-P.; Hueckel, T.; Charlier, R. 1 2005 Sign changing solutions of superlinear Schrödinger equations. Zbl 1140.35410Bartsch, Thomas; Liu, Zhaoli; Weth, Tobias 130 2004 On a superlinear elliptic \(p\)-Laplacian equation. Zbl 1087.35034Bartsch, Thomas; Liu, Zhaoli 94 2004 On the Ambrosetti-Rabinowitz superlinear condition. Zbl 1113.35048Liu, Zhaoli; Wang, Zhi-Qiang 65 2004 Multiple sign changing solutions of a quasilinear elliptic eigenvalue problem involving the \(p\)-Laplacian. Zbl 1086.35074Bartsch, Thomas; Liu, Zhaoli 18 2004 Existence of a positive solution of an elliptic equation on \(\mathbb R^N\). Zbl 1067.35029Liu, Zhaoli; Wang, Zhiqiang 7 2004 Solutions of some nonlinear elliptic problems with perturbation terms of arbitrary growth. Zbl 1205.35118Liu, Zhaoli; Su, Jiabao 6 2004 Location and critical groups of critical points in Banach spaces with an application to nonlinear eigenvalue problems. Zbl 1100.58005Bartsch, Thomas; Liu, Zhaoli 6 2004 High Reynolds number oscillating contact lines. Zbl 1163.74420Perlin, M.; Schultz, W. W.; Liu, Z. 3 2004 Contractibility of level sets of functionals associated with some elliptic boundary value problems and applications. Zbl 1290.35052Liu, Zhaoli; Li, Shujie 3 2003 Nontrivial solutions for perturbed \(p\)-Laplacian on \(\mathbb R^N\). Zbl 1161.35399Su, Jiabao; Liu, Zhaoli 1 2003 Number of invariant sets of descending flow with applications in critical point theory. Zbl 1048.58008Liu, Zhaoli; Sun, Jingxian 1 2003 Perturbations from symmetric elliptic boundary value problems. Zbl 1032.35066Li, Shujie; Liu, Zhaoli 29 2002 Four versus two solutions of semilinear elliptic boundary value problems. Zbl 0996.35017Liu, Zhaoli; Sun, Jingxian 5 2002 Multiplicity of solutions of semilinear elliptic boundary value problems with jumping nonlinearities at zero. Zbl 1033.35038Liu, Zhaoli 3 2002 Perturbations of symmetric eigenvalue problems. Zbl 1020.35068Li, Yongqing; Liu, Zhaoli 2 2002 Positive solutions of a class of nonlinear eigenvalue problems. Zbl 1050.35060Liu, Zhaoli 2 2002 Invariant sets of descending flow in critical point theory with applications to nonlinear differential equations. Zbl 0995.58006Liu, Zhaoli; Sun, Jingxian 119 2001 Large-scale modes of turbulent channel flow: transport and structure. Zbl 1102.76314Liu, Z.; Adrian, R. J.; Hanratty, T. J. 22 2001 Exact number of solutions of a class of two-point boundary value problems involving concave and convex nonlinearities. Zbl 1003.34020Liu, Zhaoli 19 2001 A class of two-point boundary value problems. Zbl 0983.34010Liu, Zhaoli; Zhang, Xuemei 17 2001 Multiple and sign changing solutions of an elliptic eigenvalue problem with constraint. Zbl 1054.35047Li, Yongqing; Liu, Zhaoli 9 2001 Image fusion by using steerable pyramid. Zbl 1029.68626Liu, Z.; Tsukada, K.; Hanasaki, K.; Ho, Y. K.; Dai, Y. P. 3 2001 Positive solutions of elliptic boundary value problems without the (P. S.) type assumption. Zbl 1030.35078Liu, Zhaoli; Li, Shujie; Wang, Zhi-Qiang 2 2001 Solutions of an elliptic eigenvalue problem involving subcritical or critical exponents. Zbl 1086.35076Liu, Zhaoli; Li, Yongqing 2 2001 On the existence of positive solutions of an elliptic boundary value problem. Zbl 0962.35066Liu, Zhaoli; Li, Fuyi 1 2000 Positive solutions of superlinear elliptic equations. Zbl 0951.35051Liu, Zhaoli 16 1999 Multiple positive solutions of some nonlinear operator equations and their applications. Zbl 1012.47046Li, Fuyi; Liu, Zhaoli 4 1998 An analysis of the distortion and breakup mechanisms of high speed liquid drops. Zbl 1135.76481Liu, Z.; Reitz, R. D. 6 1997 Multiple positive solutions of nonlinear two-point boundary value problems. Zbl 0878.34016Liu, Zhaoli; Li, Fuyi 72 1996 Periodic solutions for nonlinear \(n\)th order ordinary differential equations. Zbl 0873.34032Liu, Zhaoli 6 1996 Calculus of variations and super- and sub-solutions in reverse order. Zbl 0810.47059Sun, Jingxian; Liu, Zhaoli 9 1994 Fourth order finite difference and multigrid methods for modeling instabilities in flat plate boundary layers – 2-D and 3-D approaches. Zbl 0813.76061Liu, Z.; Liu, Chaoqun 8 1994 A new method for large amplitude sloshing problems. Zbl 0945.76545Liu, Z.; Huang, Y. 2 1994 A topological property of boundaries of bounded open sets in the plane. Zbl 0831.54027Liu, Zhaoli 2 1994 High order finite difference and multigrid methods for spatially evolving instability in a planar channel. Zbl 0769.76038Liu, C.; Liu, Z. 8 1993 On Dancer’s conjecture and multiple solutions of elliptic partial differential equations. Zbl 0818.35031Liu, Zhaoli 5 1993 An efficient multigrid scheme for elliptic equations with discontinuous coefficients. Zbl 0759.65082Liu, C.; Liu, Z.; McCormick, S. 9 1992 Integral equations of Hammerstein type with general kernel. Zbl 0764.45004Liu, Zhaoli 1 1992 Multigrid methods for flow transition in a planar channel. Zbl 0900.76080Liu, C.; Liu, Z.; McCormick, S. 3 1991 Multilevel adaptive methods for incompressible flow in grooved channels. Zbl 0742.76056Liu, C.; Liu, Z.; McCormick, S. 2 1991 all cited Publications top 5 cited Publications all top 5 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 all top 5 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) Citations by Year