## Zhang, Zhitao

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 Author ID: zhang.zhitao Published as: Zhang, Zhitao; Zhang, Zhi-tao; Zhang, Zhi Tao; Zhang, Zhi-Tao; Zhang, ZhiTao more...less
 Documents Indexed: 153 Publications since 1982, including 1 Book 1 Contribution as Editor Co-Authors: 61 Co-Authors with 85 Joint Publications 2,796 Co-Co-Authors
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### Co-Authors

 18 single-authored 8 Cheng, Xiyou 7 Dancer, Edward Norman 7 Li, Kui 7 Wang, Kelei 6 Li, Shujie 6 Luo, Haijun 6 Perera, Kanishka 5 Chen, Jianyi 3 Sun, Dongdong 3 Sun, Yimin 3 Zhang, Jihui 2 Bartsch, Thomas J. 2 Clarkson, C. R. 2 Dai, Guowei 2 Di Rienzo, Luca 2 Guo, Zongming 2 Liu, Zhisu 2 Motreanu, Dumitru 2 Qi, Zexin 2 Tian, Rushun 2 Wang, Zhi-Qiang 2 Yam, Sheung Chi Phillip 2 Yang, Yang 1 Agarwal, Ravi P. 1 Anderson, W. A. 1 Barriga, Pablo J. 1 Bensoussan, Alain 1 Blair, David G. 1 Blasques, Francisco 1 Bui, Tinh Quoc 1 Calanchi, Marta 1 Chang, Guijuan 1 Chen, Jianqing 1 Chen, Pengyu 1 Clifton, Rodney J. 1 Davari, Asad 1 Davier, Michel 1 Deriche, Rachid 1 Du, Yihong 1 Duan, M. F. 1 Dunjko, Vanja 1 Fang, X. D. 1 Feng, Shiqiang 1 Feng, Weijie 1 Feng, Zhaosheng 1 Gou, Tianxiang 1 Gras, Slawek 1 Gursul, Ismet 1 Han, Xiangke 1 Hoecker, A. 1 Hu, Zhengming 1 Huang, Shuibo 1 Jasimuddin, Sajjad M. 1 Ju, Li 1 Kelkinnama, Maryam 1 Kitzler, M. 1 Koopman, Siem Jan 1 Lan, Kunquan 1 Li, Demin 1 Li, Jun 1 Li, Qiuran 1 Li, Shijie 1 Li, Zaizheng 1 Lilley, Geoffrey M. 1 Liu, Shibo 1 Liu, Zhaoli 1 Lou, Bendong 1 Lou, Zhenluo 1 Lucido, L. 1 Malaescu, B. 1 Mallee, Max I. P. 1 Mao, Anmin 1 Mei, Linfeng 1 Mills, Donald 1 Molchanov, Stanislav Alekseevich 1 Moo-Young, M. 1 Morin, Thomas L. 1 Moussaoui, Abdelkrim 1 Müller, Eva Nuria 1 Noche, B. 1 Olshanii, Maxim 1 Opderbecke, J. 1 Pan, Xingbin 1 Peng, Shuangjie 1 Pesquet-Popescu, Béatrice 1 Prevost, Jean-Herve 1 Privault, Nicolas 1 Rhoma, F. 1 Rigaud, Vincent 1 Ruan, X. X. 1 Ruf, Bernhard 1 Salous, Sana 1 Shah, Mili I. 1 Sorensen, Danny C. 1 Sun, Jinxian 1 Tintarev, Kyril 1 Wang, Jiacun 1 Wang, Jun 1 Wang, Wei 1 Wang, Zhijin ...and 16 more Co-Authors
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### Serials

 11 Journal of Mathematical Analysis and Applications 10 Journal of Differential Equations 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Topological Methods in Nonlinear Analysis 5 Calculus of Variations and Partial Differential Equations 4 Acta Mathematica Sinica 4 Journal of Functional Analysis 4 Journal of Fixed Point Theory and Applications 3 Acta Mathematicae Applicatae Sinica. English Series 3 Applied Mathematical Modelling 3 Discrete and Continuous Dynamical Systems 3 Communications on Pure and Applied Analysis 3 Discrete and Continuous Dynamical Systems. Series S 3 Science China. Mathematics 3 SN Partial Differential Equations and Applications 2 Computers & Mathematics with Applications 2 Computer Methods in Applied Mechanics and Engineering 2 International Journal of Mechanical Sciences 2 Wave Motion 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Journal of Optimization Theory and Applications 2 Journal of Shandong University. Natural Science Edition 2 International Journal of Production Research 2 Stochastic Processes and their Applications 2 Archive of Applied Mechanics 2 New Journal of Physics 2 Advanced Nonlinear Studies 2 Boundary Value Problems 1 Acta Mechanica 1 Classical and Quantum Gravity 1 Computers and Fluids 1 International Journal for Numerical and Analytical Methods in Geomechanics 1 International Journal of Solids and Structures 1 International Journal of Systems Science 1 Journal of Fluid Mechanics 1 Journal of Mathematical Physics 1 Metrika 1 Molecular Simulation 1 Theory of Probability and its Applications 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Journal of Econometrics 1 Journal of the Operational Research Society 1 Transactions of the American Mathematical Society 1 Advances in Mathematics 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Journal of Systems Science and Mathematical Sciences 1 Annals of Differential Equations 1 COMPEL 1 Science in China. Series A 1 Signal Processing 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Applicable Algebra in Engineering, Communication and Computing 1 International Journal of Robust and Nonlinear Control 1 Applied Mathematics. Series A (Chinese Edition) 1 Applied Mathematics. Series B (English Edition) 1 Mathematical Methods of Statistics 1 NoDEA. Nonlinear Differential Equations and Applications 1 Advances in Differential Equations 1 Engineering Analysis with Boundary Elements 1 Journal of Applied Analysis 1 Abstract and Applied Analysis 1 Acta Mathematica Scientia. Series A. (Chinese Edition) 1 Positivity 1 Soft Computing 1 Acta Mathematica Sinica. English Series 1 Communications in Contemporary Mathematics 1 Journal of Modern Optics 1 The ANZIAM Journal 1 Nonlinear Analysis. Real World Applications 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms 1 Discrete and Continuous Dynamical Systems. Series B 1 International Journal of Fracture 1 Iranian Journal of Fuzzy Systems 1 Inverse Problems in Science and Engineering 1 Developments in Mathematics 1 Set-Valued and Variational Analysis 1 Electronic Research Archive
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### Fields

 81 Partial differential equations (35-XX) 29 Operator theory (47-XX) 13 Global analysis, analysis on manifolds (58-XX) 11 Mechanics of deformable solids (74-XX) 10 Ordinary differential equations (34-XX) 8 Integral equations (45-XX) 7 Probability theory and stochastic processes (60-XX) 7 Operations research, mathematical programming (90-XX) 7 Biology and other natural sciences (92-XX) 6 Statistics (62-XX) 6 Quantum theory (81-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Numerical analysis (65-XX) 5 Fluid mechanics (76-XX) 4 Computer science (68-XX) 4 Optics, electromagnetic theory (78-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Systems theory; control (93-XX) 3 Information and communication theory, circuits (94-XX) 2 Real functions (26-XX) 2 General topology (54-XX) 2 Mechanics of particles and systems (70-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Algebraic topology (55-XX) 1 Relativity and gravitational theory (83-XX)

### Citations contained in zbMATH Open

107 Publications have been cited 1,844 times in 1,031 Documents Cited by Year
Nontrivial solutions of Kirchhoff-type problems via the Yang index. Zbl 1357.35131
Perera, Kanishka; Zhang, Zhitao
2006
Sign changing solutions of Kirchhoff type problems via invariant sets of descent flow. Zbl 1100.35008
Zhang, Zhitao; Perera, Kanishka
2006
Sign-changing and multiple solutions of Kirchhoff type problems without the P.S. condition. Zbl 1160.35421
Mao, Anmin; Zhang, Zhitao
2009
$$W^{1,p}$$ versus $$C^1$$ local minimizers and multiplicity results for quasilinear elliptic equations. Zbl 1160.35382
Guo, Zongming; Zhang, Zhitao
2003
The limit equation for the Gross-Pitaevskii equations and S. Terracini’s conjecture. Zbl 1242.35119
Dancer, E. N.; Wang, Kelei; Zhang, Zhitao
2012
Correlation analysis of non-probabilistic convex model and corresponding structural reliability technique. Zbl 1230.74240
Jiang, C.; Han, X.; Lu, G. Y.; Liu, J.; Zhang, Z.; Bai, Y. C.
2011
Existence and non-existence of solutions to elliptic equations related to the Caffarelli-Kohn-Nirenberg inequalities. Zbl 1189.35092
Bartsch, Thomas; Peng, Shuangjie; Zhang, Zhitao
2007
Dynamics of Lotka-Volterra competition systems with large interaction. Zbl 1006.35047
Dancer, E. N.; Zhang, Zhitao
2002
Uniform Hölder estimate for singularly perturbed parabolic systems of Bose-Einstein condensates and competing species. Zbl 1270.35043
Dancer, E. N.; Wang, Kelei; Zhang, Zhitao
2011
On sign-changing and multiple solutions of the $$p$$-Laplacian. Zbl 1091.35028
Zhang, Zhitao; Li, Shujie
2003
Existence and non-existence of solutions for a class of Monge-Ampère equations. Zbl 1165.35023
Zhang, Zhitao; Wang, Kelei
2009
Construction of pseudo-gradient vector field and sign-changing multiple solutions involving $$p$$-Laplacian. Zbl 1079.35035
Zhang, Zhitao; Chen, Jianqing; Li, Shujie
2004
Fucik spectrum, sign-changing, and multiple solutions for semilinear elliptic boundary-value problems with resonance at inifinity. Zbl 0974.35028
Dancer, E. N.; Zhang, Zhitao
2000
Multiple positive solutions of singular $$p$$-Laplacian problems by variational methods. Zbl 1220.35082
Perera, Kanishka; Zhang, Zhitao
2005
New fixed point theorems of mixed monotone operators and applications. Zbl 0880.47036
Zhang, Zhitao
1996
Critical points and positive solutions of singular elliptic boundary value problems. Zbl 1161.35403
Zhang, Zhitao
2005
Dynamics of strongly competing systems with many species. Zbl 1252.35284
Dancer, E. N.; Wang, Kelei; Zhang, Zhitao
2012
Some new results in competing systems with many species. Zbl 1201.35113
Wang, Kelei; Zhang, Zhitao
2010
On fixed point theorems of mixed monotone operators and applications. Zbl 1219.47072
Zhang, Zhitao; Wang, Kelei
2009
Well-posedness of mean-field type forward-backward stochastic differential equations. Zbl 1327.60114
Bensoussan, A.; Yam, S. C. P.; Zhang, Z.
2015
Existence and nonexistence of positive solutions for a static Schrödinger-Poisson-Slater equation. Zbl 1421.35156
Liu, Zhisu; Zhang, Zhitao; Huang, Shuibo
2019
An anti-interpenetration model and connections between interphase and interface models in particle-reinforced composites. Zbl 1192.74084
Wang, J.; Duan, H. L.; Zhang, Z.; Huang, Z. P.
2005
A unified approach for constrained extremum problems: image space analysis. Zbl 1288.90092
Li, Jun; Feng, Shi Qiang; Zhang, Z.
2013
Sign-changing and multiple solutions theorems for semilinear elliptic boundary value problems with jumping nonlinearities. Zbl 0951.35050
Li, Shujie; Zhang, Zhitao
2000
Uniqueness, existence and concentration of positive ground state solutions for Kirchhoff type problems in $$\mathbb{R}^3$$. Zbl 1435.35008
Sun, Dongdong; Zhang, Zhitao
2018
Existence and bifurcation of solutions for a double coupled system of Schrödinger equations. Zbl 1326.35133
Tian, Rushun; Zhang, Zhitao
2015
Existence results for some nonlinear elliptic systems. Zbl 1167.35360
Zhang, Jihui; Zhang, Zhitao
2009
Elliptic equations in $$\mathbb{R}^2$$ with one-sided exponential growth. Zbl 1129.35337
Zhang, Zhitao; Calanchi, Marta; Ruf, Bernhard
2004
Periodic solutions of second order non-autonomous Hamiltonian systems with local superquadratic potential. Zbl 1179.34037
Wang, Zhiyong; Zhang, Jihui; Zhang, Zhitao
2009
The complex variable reproducing kernel particle method for two-dimensional inverse heat conduction problems. Zbl 1297.65117
Weng, Y. J.; Zhang, Z.; Cheng, Y. M.
2014
Nonzero positive weak solutions of systems of $$p$$-Laplace equations. Zbl 1248.35083
Lan, K. Q.; Zhang, Zhitao
2012
Edge-based smoothed extended finite element method for dynamic fracture analysis. Zbl 1471.74066
Wu, L.; Liu, P.; Shi, C.; Zhang, Z.; Bui, Tinh Quoc; Jiao, D.
2016
Sign-changing solutions and multiple solutions theorems for semilinear elliptic boundary value problems with a reaction term nonzero at zero. Zbl 1165.35378
Zhang, Zhitao; Li, Xiaodong
2002
Fucik spectrum, sign-changing and multiple solutions for semilinear elliptic boundary value problems with jumping nonlinearities at zero and infinity. Zbl 1165.35370
Li, Shujie; Zhang, Zhitao
2001
Fixed point theorems for mixed monotone operators and their applications. Zbl 1012.47019
Zhang, Zhitao
1998
Variational, topological, and partial order methods with their applications. Zbl 1258.47003
Zhang, Zhitao
2013
Symmetry breaking via Morse index for equations and systems of Hénon-Schrödinger type. Zbl 1412.35108
Lou, Zhenluo; Weth, Tobias; Zhang, Zhitao
2019
Infinitely many periodic solutions for a semilinear wave equation in a ball in $$\mathbb R^n$$. Zbl 1288.35032
Chen, Jianyi; Zhang, Zhitao
2014
On a power-type coupled system of Monge-Ampère equations. Zbl 1366.35055
Zhang, Zhitao; Qi, Zexin
2015
Normalized solutions to the fractional Schrödinger equations with combined nonlinearities. Zbl 1445.35307
Luo, Haijun; Zhang, Zhitao
2020
Positive solutions for a system of nonlinear singular Hammerstein integral equations via nonnegative matrices and applications. Zbl 1266.45009
Yang, Zhilin; Zhang, Zhitao
2012
Addendum to “The limit equation for the Gross-Pitaevskii equations and S. Terracini’s conjecture” [J. Funct. Anal. 262 (3) (2012) 1087–1131]. Zbl 1263.35091
Dancer, E. N.; Wang, Kelei; Zhang, Zhitao
2013
On an asymptotically linear elliptic Dirichlet problem. Zbl 1047.35047
Zhang, Zhitao; Li, Shujie; Liu, Shibo; Feng, Weijie
2002
Existence of non-trivial solution for superlinear system of integral equations and its applications. Zbl 0941.45002
Zhang, Zhitao
1999
Multiple solutions theorems for semilinear elliptic boundary value problems with resonance at infinity. Zbl 0952.35056
Li, Shujie; Zhang, Zhitao
1999
Existence of positive solutions to systems of nonlinear integral or differential equations. Zbl 1195.45018
Cheng, Xiyou; Zhang, Zhitao
2009
Existence and multiplicity of solutions for nonlocal systems with Kirchhoff type. Zbl 1338.35165
Zhang, Zhi-tao; Sun, Yi-min
2016
Structure of positive solutions to a Schrödinger system. Zbl 1387.35144
Zhang, Zhitao; Wang, Wei
2017
Proof of the Hénon-Lane-Emden conjecture in $$\mathbb{R}^3$$. Zbl 1410.35040
Li, Kui; Zhang, Zhitao
2019
Existence of infinitely many periodic solutions for the radially symmetric wave equation with resonance. Zbl 1339.35020
Chen, Jianyi; Zhang, Zhitao
2016
Symmetry and asymptotic behavior of ground state solutions for Schrödinger systems with linear interaction. Zbl 1400.35084
Zhang, Zhitao; Luo, Haijun
2018
A necessary and sufficient condition for the existence of positive solutions of singular superlinear boundary value problems. Zbl 1124.34316
Wei, Zhongli; Zhang, Zhitao
2005
Existence of solutions for second order impulsive differential equations. Zbl 0885.34018
Zhang, Zhitao
1997
Existence and asymptotic behaviour of ground state solutions for Kirchhoff-type equations with vanishing potentials. Zbl 1412.35126
Sun, Dongdong; Zhang, Zhitao
2019
Global bifurcations and a priori bounds of positive solutions for coupled nonlinear Schrödinger systems. Zbl 1419.35181
Dai, Guowei; Tian, Rushun; Zhang, Zhitao
2019
Positive solutions for a class of multi-parameter elliptic systems. Zbl 1263.35090
Cheng, Xiyou; Zhang, Zhitao
2013
Positive solutions for a multi-parameter system of second-order ordinary differential equations. Zbl 1234.34022
Cheng, XiYou; Zhang, ZhiTao
2011
The simulation of 3D unsteady incompressible flows with moving boundaries on unstructured meshes. Zbl 1237.76096
Zhang, Z.; Gil, A. J.; Hassan, O.; Morgan, K.
2008
Constant sign and sign changing solutions for systems of quasilinear elliptic equations. Zbl 1221.35139
Motreanu, Dumitru; Zhang, Zhitao
2011
On the crosscorrelation of sequences with the decimation factor $$d=\frac{p^n+1}{p+1}-\frac{p^n-1}{2}$$. Zbl 1015.94006
Hu, Z.; Li, X.; Mills, D.; Müller, E.; Sun, W.; Willems, W.; Yang, Y.; Zhang, Z.
2001
On the Fučik point spectrum for Schrödinger operators on $$\mathbb R^N$$. Zbl 1211.35091
Bartsch, Thomas; Wang, Zhi-Qiang; Zhang, Zhitao
2009
Existence of multiple periodic solutions to asymptotically linear wave equations in a ball. Zbl 1387.35023
Chen, Jianyi; Zhang, Zhitao
2017
Existence of solutions for a Schrödinger system with linear and nonlinear couplings. Zbl 1344.81075
Li, Kui; Zhang, Zhitao
2016
Existence of multiple solutions to a class of nonlinear Schrödinger system with external sources terms. Zbl 1300.35133
Qi, Zexin; Zhang, Zhitao
2014
Normalized solutions to the Chern-Simons-Schrödinger system. Zbl 1455.35080
Gou, Tianxiang; Zhang, Zhitao
2021
Capacity planning with reconfigurable kits in semiconductor test manufacturing. Zbl 1122.90344
Zhang, Z.; Zhang, M. T.; Niu, S.; Zheng, L.
2006
Stress and residual stress distributions in plane strain bending. Zbl 0963.74508
Zhang, Z. T.; Hu, S. J.
1998
Simulation of hydraulic fracture propagation near a natural fracture using virtual multidimensional internal bonds. Zbl 1274.74437
Zhang, Z.; Ghassemi, A.
2011
Positive solutions for singular elliptic systems with convection term. Zbl 1382.35115
Motreanu, Dumitru; Moussaoui, Abdelkrim; Zhang, Zhitao
2017
On some nonlocal eigenvalue problems. Zbl 1263.47074
Agarwal, Ravi P.; Perera, Kanishka; Zhang, Zhitao
2012
Bandgap design of three-phase phononic crystal by topological optimization. Zbl 07312408
Han, X. K.; Zhang, Z.
2020
Existence and nonexistence of bound state solutions for Schrödinger systems with linear and nonlinear couplings. Zbl 1418.35101
Luo, Haijun; Zhang, Zhitao
2019
Sign-changing solution and multiple solutions theorems for semilinear elliptic boundary value problems with jumping nonlinearities. Zbl 1136.35383
Li, Shijie; Zhang, Zhitao
2001
Camera calibration with one-dimensional objects. Zbl 1039.68757
Zhang, Z.
2002
On the residual lifelengths of the remaining components in a coherent system. Zbl 06224851
Kelkin Nama, M.; Asadi, M.; Zhang, Z.
2013
An efficient epistemic uncertainty analysis method using evidence theory. Zbl 1441.65010
Zhang, Z.; Ruan, X. X.; Duan, M. F.; Jiang, C.
2018
Dancer-Fučik spectrum for fractional Schrödinger operators with a steep potential well on $$\mathbb{R}^N$$. Zbl 1427.35056
Liu, Zhisu; Luo, Haijun; Zhang, Zhitao
2019
Limit configurations of Schrödinger systems versus optimal partition for the principal eigenvalue of elliptic systems. Zbl 1427.35036
Luo, Haijun; Zhang, Zhitao
2019
A modified immersed finite volume element method for elliptic interface problems. Zbl 1451.65174
Wang, Q.; Zhang, Z.
2020
A theoretical model of the coherent structure of the turbulent boundary layer in zero pressure gradient. Zbl 0522.76053
Zhang, Z.; Lilley, G. M.
1982
On joint stationary probability density function of nonlinear dynamic systems. Zbl 0917.60074
Zhang, Z.; Wang, R.; Yasuda, K.
1998
Existence of positive solutions for a semilinear elliptic system. Zbl 1234.35092
Zhang, Zhitao; Cheng, Xiyou
2011
Fixed point theorems for a class of noncompact decreasing operators and their applications. Zbl 0933.47039
Zhang, Zhitao
1998
Complexity of the gravitational method for linear programming. Zbl 1016.90024
Morin, T. L.; Prabhu, N.; Zhang, Z.
2001
Multiplicity of positive solutions to nonlinear systems of Hammerstein integral equations with weighted functions. Zbl 1437.45004
Cheng, Xiyou; Feng, Zhaosheng; Zhang, Zhitao
2020
A monotonicity theorem and its applications to weighted elliptic equations. Zbl 1428.35064
Li, Kui; Zhang, Zhitao
2019
Weighted maximum likelihood for dynamic factor analysis and forecasting with mixed frequency data. Zbl 1431.62587
Blasques, F.; Koopman, S. J.; Mallee, M.; Zhang, Z.
2016
Existence of positive solutions for a general nonlinear eigenvalue problem. Zbl 1302.47085
Cheng, Xi-You; Zhang, Zhi-Tao
2011
Ground and bound state solutions for a Schrödinger system with linear and nonlinear couplings in $$\mathbb{R}^N$$. Zbl 1392.35291
Perera, Kanishka; Tintarev, Cyril; Wang, Jun; Zhang, Zhitao
2018
Asymmetric critical $$p$$-Laplacian problems. Zbl 1401.35137
Perera, Kanishka; Yang, Yang; Zhang, Zhitao
2018
Existence of positive solutions to Kirchhoff equations with vanishing potentials and general nonlinearity. Zbl 1455.35093
Sun, Dongdong; Zhang, Zhitao
2020
Bounds for characteristic functions and Laplace transforms of probability distributions. Zbl 1260.60025
Zhang, Z.
2012
Optimization of magnetic sensor arrays for current measurement based on swarm intelligence and D-optimality. Zbl 1177.78080
Zhang, Z.; Di Rienzo, L.
2009
Navigation function design for backbone connectivity in vehicle ad hoc networks. Zbl 1219.68027
Li, Demin; Li, Qiuran; Wang, Jiacun; Zhang, Zhitao
2011
Error analysis of the MMSE estimator for multidimensional band-limited extrapolations from finite samples. Zbl 0788.94006
Xia, X.-G.; Zhang, Z.; Lo, C.
1994
On minimax inequality and generalized quasi-variational inequality in $$H$$-spaces. Zbl 0935.58011
Wu, X.; Zhang, Z.
1999
A priori estimate and existence of positive solutions for system of semilinear elliptic equations. Zbl 0964.35036
Zhang, Zhitao
1999
Radiation modeling of air phase corrugated plate photocatalytic reactor. Zbl 1035.92050
Zhang, Z.; Anderson, W. A.; Moo-Young, M.
2004
Foliated Schwarz symmetry for the nodal solution at the second minimax level. Zbl 1417.35018
Li, Kui; Zhang, Zhitao
2018
On bifurcation, critical groups and exact multiplicity of solutions to semilinear elliptic boundary value problems. Zbl 1126.35323
Zhang, Zhitao
2004
Aerodynamics of a wing in turbulent bluff body wakes. Zbl 07483962
Zhang, Z.; Wang, Z.; Gursul, I.
2022
Normalized solutions to the Chern-Simons-Schrödinger system. Zbl 1455.35080
Gou, Tianxiang; Zhang, Zhitao
2021
Normalized solutions to the fractional Schrödinger equations with combined nonlinearities. Zbl 1445.35307
Luo, Haijun; Zhang, Zhitao
2020
Bandgap design of three-phase phononic crystal by topological optimization. Zbl 07312408
Han, X. K.; Zhang, Z.
2020
A modified immersed finite volume element method for elliptic interface problems. Zbl 1451.65174
Wang, Q.; Zhang, Z.
2020
Multiplicity of positive solutions to nonlinear systems of Hammerstein integral equations with weighted functions. Zbl 1437.45004
Cheng, Xiyou; Feng, Zhaosheng; Zhang, Zhitao
2020
Existence of positive solutions to Kirchhoff equations with vanishing potentials and general nonlinearity. Zbl 1455.35093
Sun, Dongdong; Zhang, Zhitao
2020
Existence and nonexistence of positive solutions for a static Schrödinger-Poisson-Slater equation. Zbl 1421.35156
Liu, Zhisu; Zhang, Zhitao; Huang, Shuibo
2019
Symmetry breaking via Morse index for equations and systems of Hénon-Schrödinger type. Zbl 1412.35108
Lou, Zhenluo; Weth, Tobias; Zhang, Zhitao
2019
Proof of the Hénon-Lane-Emden conjecture in $$\mathbb{R}^3$$. Zbl 1410.35040
Li, Kui; Zhang, Zhitao
2019
Existence and asymptotic behaviour of ground state solutions for Kirchhoff-type equations with vanishing potentials. Zbl 1412.35126
Sun, Dongdong; Zhang, Zhitao
2019
Global bifurcations and a priori bounds of positive solutions for coupled nonlinear Schrödinger systems. Zbl 1419.35181
Dai, Guowei; Tian, Rushun; Zhang, Zhitao
2019
Existence and nonexistence of bound state solutions for Schrödinger systems with linear and nonlinear couplings. Zbl 1418.35101
Luo, Haijun; Zhang, Zhitao
2019
Dancer-Fučik spectrum for fractional Schrödinger operators with a steep potential well on $$\mathbb{R}^N$$. Zbl 1427.35056
Liu, Zhisu; Luo, Haijun; Zhang, Zhitao
2019
Limit configurations of Schrödinger systems versus optimal partition for the principal eigenvalue of elliptic systems. Zbl 1427.35036
Luo, Haijun; Zhang, Zhitao
2019
A monotonicity theorem and its applications to weighted elliptic equations. Zbl 1428.35064
Li, Kui; Zhang, Zhitao
2019
Poisson discretizations of Wiener functionals and Malliavin operators with Wasserstein estimates. Zbl 1479.60108
Privault, N.; Yam, S. C. P.; Zhang, Z.
2019
Uniqueness, existence and concentration of positive ground state solutions for Kirchhoff type problems in $$\mathbb{R}^3$$. Zbl 1435.35008
Sun, Dongdong; Zhang, Zhitao
2018
Symmetry and asymptotic behavior of ground state solutions for Schrödinger systems with linear interaction. Zbl 1400.35084
Zhang, Zhitao; Luo, Haijun
2018
An efficient epistemic uncertainty analysis method using evidence theory. Zbl 1441.65010
Zhang, Z.; Ruan, X. X.; Duan, M. F.; Jiang, C.
2018
Ground and bound state solutions for a Schrödinger system with linear and nonlinear couplings in $$\mathbb{R}^N$$. Zbl 1392.35291
Perera, Kanishka; Tintarev, Cyril; Wang, Jun; Zhang, Zhitao
2018
Asymmetric critical $$p$$-Laplacian problems. Zbl 1401.35137
Perera, Kanishka; Yang, Yang; Zhang, Zhitao
2018
Foliated Schwarz symmetry for the nodal solution at the second minimax level. Zbl 1417.35018
Li, Kui; Zhang, Zhitao
2018
Structure of positive solutions to a Schrödinger system. Zbl 1387.35144
Zhang, Zhitao; Wang, Wei
2017
Existence of multiple periodic solutions to asymptotically linear wave equations in a ball. Zbl 1387.35023
Chen, Jianyi; Zhang, Zhitao
2017
Positive solutions for singular elliptic systems with convection term. Zbl 1382.35115
Motreanu, Dumitru; Moussaoui, Abdelkrim; Zhang, Zhitao
2017
Edge-based smoothed extended finite element method for dynamic fracture analysis. Zbl 1471.74066
Wu, L.; Liu, P.; Shi, C.; Zhang, Z.; Bui, Tinh Quoc; Jiao, D.
2016
Existence and multiplicity of solutions for nonlocal systems with Kirchhoff type. Zbl 1338.35165
Zhang, Zhi-tao; Sun, Yi-min
2016
Existence of infinitely many periodic solutions for the radially symmetric wave equation with resonance. Zbl 1339.35020
Chen, Jianyi; Zhang, Zhitao
2016
Existence of solutions for a Schrödinger system with linear and nonlinear couplings. Zbl 1344.81075
Li, Kui; Zhang, Zhitao
2016
Weighted maximum likelihood for dynamic factor analysis and forecasting with mixed frequency data. Zbl 1431.62587
Blasques, F.; Koopman, S. J.; Mallee, M.; Zhang, Z.
2016
A perturbation result for system of Schrödinger equations of Bose-Einstein condensates in $$\mathbb{R}^3$$. Zbl 1330.35130
Li, Kui; Zhang, Zhitao
2016
Well-posedness of mean-field type forward-backward stochastic differential equations. Zbl 1327.60114
Bensoussan, A.; Yam, S. C. P.; Zhang, Z.
2015
Existence and bifurcation of solutions for a double coupled system of Schrödinger equations. Zbl 1326.35133
Tian, Rushun; Zhang, Zhitao
2015
On a power-type coupled system of Monge-Ampère equations. Zbl 1366.35055
Zhang, Zhitao; Qi, Zexin
2015
The complex variable reproducing kernel particle method for two-dimensional inverse heat conduction problems. Zbl 1297.65117
Weng, Y. J.; Zhang, Z.; Cheng, Y. M.
2014
Infinitely many periodic solutions for a semilinear wave equation in a ball in $$\mathbb R^n$$. Zbl 1288.35032
Chen, Jianyi; Zhang, Zhitao
2014
Existence of multiple solutions to a class of nonlinear Schrödinger system with external sources terms. Zbl 1300.35133
Qi, Zexin; Zhang, Zhitao
2014
A unified approach for constrained extremum problems: image space analysis. Zbl 1288.90092
Li, Jun; Feng, Shi Qiang; Zhang, Z.
2013
Variational, topological, and partial order methods with their applications. Zbl 1258.47003
Zhang, Zhitao
2013
Addendum to “The limit equation for the Gross-Pitaevskii equations and S. Terracini’s conjecture” [J. Funct. Anal. 262 (3) (2012) 1087–1131]. Zbl 1263.35091
Dancer, E. N.; Wang, Kelei; Zhang, Zhitao
2013
Positive solutions for a class of multi-parameter elliptic systems. Zbl 1263.35090
Cheng, Xiyou; Zhang, Zhitao
2013
On the residual lifelengths of the remaining components in a coherent system. Zbl 06224851
Kelkin Nama, M.; Asadi, M.; Zhang, Z.
2013
The limit equation for the Gross-Pitaevskii equations and S. Terracini’s conjecture. Zbl 1242.35119
Dancer, E. N.; Wang, Kelei; Zhang, Zhitao
2012
Dynamics of strongly competing systems with many species. Zbl 1252.35284
Dancer, E. N.; Wang, Kelei; Zhang, Zhitao
2012
Nonzero positive weak solutions of systems of $$p$$-Laplace equations. Zbl 1248.35083
Lan, K. Q.; Zhang, Zhitao
2012
Positive solutions for a system of nonlinear singular Hammerstein integral equations via nonnegative matrices and applications. Zbl 1266.45009
Yang, Zhilin; Zhang, Zhitao
2012
On some nonlocal eigenvalue problems. Zbl 1263.47074
Agarwal, Ravi P.; Perera, Kanishka; Zhang, Zhitao
2012
Bounds for characteristic functions and Laplace transforms of probability distributions. Zbl 1260.60025
Zhang, Z.
2012
Correlation analysis of non-probabilistic convex model and corresponding structural reliability technique. Zbl 1230.74240
Jiang, C.; Han, X.; Lu, G. Y.; Liu, J.; Zhang, Z.; Bai, Y. C.
2011
Uniform Hölder estimate for singularly perturbed parabolic systems of Bose-Einstein condensates and competing species. Zbl 1270.35043
Dancer, E. N.; Wang, Kelei; Zhang, Zhitao
2011
Positive solutions for a multi-parameter system of second-order ordinary differential equations. Zbl 1234.34022
Cheng, XiYou; Zhang, ZhiTao
2011
Constant sign and sign changing solutions for systems of quasilinear elliptic equations. Zbl 1221.35139
Motreanu, Dumitru; Zhang, Zhitao
2011
Simulation of hydraulic fracture propagation near a natural fracture using virtual multidimensional internal bonds. Zbl 1274.74437
Zhang, Z.; Ghassemi, A.
2011
Existence of positive solutions for a semilinear elliptic system. Zbl 1234.35092
Zhang, Zhitao; Cheng, Xiyou
2011
Existence of positive solutions for a general nonlinear eigenvalue problem. Zbl 1302.47085
Cheng, Xi-You; Zhang, Zhi-Tao
2011
Navigation function design for backbone connectivity in vehicle ad hoc networks. Zbl 1219.68027
Li, Demin; Li, Qiuran; Wang, Jiacun; Zhang, Zhitao
2011
Some new results in competing systems with many species. Zbl 1201.35113
Wang, Kelei; Zhang, Zhitao
2010
Sign-changing and multiple solutions of Kirchhoff type problems without the P.S. condition. Zbl 1160.35421
Mao, Anmin; Zhang, Zhitao
2009
Existence and non-existence of solutions for a class of Monge-Ampère equations. Zbl 1165.35023
Zhang, Zhitao; Wang, Kelei
2009
On fixed point theorems of mixed monotone operators and applications. Zbl 1219.47072
Zhang, Zhitao; Wang, Kelei
2009
Existence results for some nonlinear elliptic systems. Zbl 1167.35360
Zhang, Jihui; Zhang, Zhitao
2009
Periodic solutions of second order non-autonomous Hamiltonian systems with local superquadratic potential. Zbl 1179.34037
Wang, Zhiyong; Zhang, Jihui; Zhang, Zhitao
2009
Existence of positive solutions to systems of nonlinear integral or differential equations. Zbl 1195.45018
Cheng, Xiyou; Zhang, Zhitao
2009
On the Fučik point spectrum for Schrödinger operators on $$\mathbb R^N$$. Zbl 1211.35091
Bartsch, Thomas; Wang, Zhi-Qiang; Zhang, Zhitao
2009
Optimization of magnetic sensor arrays for current measurement based on swarm intelligence and D-optimality. Zbl 1177.78080
Zhang, Z.; Di Rienzo, L.
2009
The simulation of 3D unsteady incompressible flows with moving boundaries on unstructured meshes. Zbl 1237.76096
Zhang, Z.; Gil, A. J.; Hassan, O.; Morgan, K.
2008
Existence and non-existence of solutions to elliptic equations related to the Caffarelli-Kohn-Nirenberg inequalities. Zbl 1189.35092
Bartsch, Thomas; Peng, Shuangjie; Zhang, Zhitao
2007
Nontrivial solutions of Kirchhoff-type problems via the Yang index. Zbl 1357.35131
Perera, Kanishka; Zhang, Zhitao
2006
Sign changing solutions of Kirchhoff type problems via invariant sets of descent flow. Zbl 1100.35008
Zhang, Zhitao; Perera, Kanishka
2006
Capacity planning with reconfigurable kits in semiconductor test manufacturing. Zbl 1122.90344
Zhang, Z.; Zhang, M. T.; Niu, S.; Zheng, L.
2006
Multiple positive solutions of singular $$p$$-Laplacian problems by variational methods. Zbl 1220.35082
Perera, Kanishka; Zhang, Zhitao
2005
Critical points and positive solutions of singular elliptic boundary value problems. Zbl 1161.35403
Zhang, Zhitao
2005
An anti-interpenetration model and connections between interphase and interface models in particle-reinforced composites. Zbl 1192.74084
Wang, J.; Duan, H. L.; Zhang, Z.; Huang, Z. P.
2005
A necessary and sufficient condition for the existence of positive solutions of singular superlinear boundary value problems. Zbl 1124.34316
Wei, Zhongli; Zhang, Zhitao
2005
Critical point, anti-maximum principle and semipositone $$p$$-Laplacian problems. Zbl 1144.35384
Dancer, E. N.; Zhang, Zhitao
2005
Construction of pseudo-gradient vector field and sign-changing multiple solutions involving $$p$$-Laplacian. Zbl 1079.35035
Zhang, Zhitao; Chen, Jianqing; Li, Shujie
2004
Elliptic equations in $$\mathbb{R}^2$$ with one-sided exponential growth. Zbl 1129.35337
Zhang, Zhitao; Calanchi, Marta; Ruf, Bernhard
2004
Radiation modeling of air phase corrugated plate photocatalytic reactor. Zbl 1035.92050
Zhang, Z.; Anderson, W. A.; Moo-Young, M.
2004
On bifurcation, critical groups and exact multiplicity of solutions to semilinear elliptic boundary value problems. Zbl 1126.35323
Zhang, Zhitao
2004
Time-dependent crack behavior in an integrated structure. Zbl 1187.74188
Liang, J.; Zhang, Z.; Prévost, J. H.; Suo, Z.
2004
$$W^{1,p}$$ versus $$C^1$$ local minimizers and multiplicity results for quasilinear elliptic equations. Zbl 1160.35382
Guo, Zongming; Zhang, Zhitao
2003
On sign-changing and multiple solutions of the $$p$$-Laplacian. Zbl 1091.35028
Zhang, Zhitao; Li, Shujie
2003
Dynamics of Lotka-Volterra competition systems with large interaction. Zbl 1006.35047
Dancer, E. N.; Zhang, Zhitao
2002
Sign-changing solutions and multiple solutions theorems for semilinear elliptic boundary value problems with a reaction term nonzero at zero. Zbl 1165.35378
Zhang, Zhitao; Li, Xiaodong
2002
On an asymptotically linear elliptic Dirichlet problem. Zbl 1047.35047
Zhang, Zhitao; Li, Shujie; Liu, Shibo; Feng, Weijie
2002
Camera calibration with one-dimensional objects. Zbl 1039.68757
Zhang, Z.
2002
Fucik spectrum, sign-changing and multiple solutions for semilinear elliptic boundary value problems with jumping nonlinearities at zero and infinity. Zbl 1165.35370
Li, Shujie; Zhang, Zhitao
2001
On the crosscorrelation of sequences with the decimation factor $$d=\frac{p^n+1}{p+1}-\frac{p^n-1}{2}$$. Zbl 1015.94006
Hu, Z.; Li, X.; Mills, D.; Müller, E.; Sun, W.; Willems, W.; Yang, Y.; Zhang, Z.
2001
Sign-changing solution and multiple solutions theorems for semilinear elliptic boundary value problems with jumping nonlinearities. Zbl 1136.35383
Li, Shijie; Zhang, Zhitao
2001
Complexity of the gravitational method for linear programming. Zbl 1016.90024
Morin, T. L.; Prabhu, N.; Zhang, Z.
2001
Fucik spectrum, sign-changing, and multiple solutions for semilinear elliptic boundary-value problems with resonance at inifinity. Zbl 0974.35028
Dancer, E. N.; Zhang, Zhitao
2000
Sign-changing and multiple solutions theorems for semilinear elliptic boundary value problems with jumping nonlinearities. Zbl 0951.35050
Li, Shujie; Zhang, Zhitao
2000
Existence of non-trivial solution for superlinear system of integral equations and its applications. Zbl 0941.45002
Zhang, Zhitao
1999
Multiple solutions theorems for semilinear elliptic boundary value problems with resonance at infinity. Zbl 0952.35056
Li, Shujie; Zhang, Zhitao
1999
On minimax inequality and generalized quasi-variational inequality in $$H$$-spaces. Zbl 0935.58011
Wu, X.; Zhang, Z.
1999
A priori estimate and existence of positive solutions for system of semilinear elliptic equations. Zbl 0964.35036
Zhang, Zhitao
1999
Fixed point theorems for mixed monotone operators and their applications. Zbl 1012.47019
Zhang, Zhitao
1998
Stress and residual stress distributions in plane strain bending. Zbl 0963.74508
Zhang, Z. T.; Hu, S. J.
1998
On joint stationary probability density function of nonlinear dynamic systems. Zbl 0917.60074
Zhang, Z.; Wang, R.; Yasuda, K.
1998
...and 7 more Documents
all top 5

### Cited by 986 Authors

 68 Papageorgiou, Nikolaos S. 54 Zhang, Zhitao 19 Tang, Xianhua 17 Rădulescu, Vicenţiu D. 16 Chen, Haibo 16 Liu, Zhisu 14 Mao, Anmin 14 Wu, Xian 13 Afrouzi, Ghasem Alizadeh 13 Gasiński, Leszek 12 Cheng, Bitao 12 Feng, Meiqiang 12 Liao, Jiafeng 12 Motreanu, Dumitru 11 Heidarkhani, Shapour 11 Lei, Chunyu 11 O’Regan, Donal 11 Wang, Kelei 11 Yan, Baoqiang 11 Zhang, Jihui 11 Zhang, Xuemei 10 Dai, Guowei 10 Li, Fuyi 10 Nguyen Thanh Chung 10 Terracini, Susanna 9 Cheng, Xiyou 9 Figueiredo, Giovany Malcher 9 He, Tieshan 9 Perera, Kanishka 9 Winkert, Patrick 9 Wu, Tsungfang 8 Dancer, Edward Norman 8 Luo, Haijun 8 Peng, Shuangjie 8 Zhang, Binlin 8 Zhang, Jianjun 7 Carl, Siegfried 7 Che, Guofeng 7 Furtado, Marcelo Fernandes 7 He, Xiaoming 7 Huang, Yisheng 7 Kang, Dongsheng 7 Kong, Lingju 7 Lan, Kunquan 7 Li, Shujie 7 Liang, Sihua 7 Liu, Lishan 7 Liu, Zuhan 7 Staicu, Vasile 7 Sun, Mingzheng 7 Zhang, Shan 7 Zhang, Xinqiu 7 Zhao, Peihao 7 Zilio, Alessandro 7 Zou, Wenming 6 Agarwal, Ravi P. 6 Aizicovici, Sergiu 6 Alves, Claudianor Oliveira 6 Ambrosio, Vincenzo 6 Chen, Sitong 6 Sobreira de Araujo Corrêa, Francisco Julio 6 Graef, John R. 6 Li, Kui 6 Liang, Zhanping 6 Liu, Shibo 6 Livrea, Roberto 6 Molica Bisci, Giovanni 6 Repovš, Dušan D. 6 Salari, Amjad 6 Su, Jiabao 6 Sun, Juntao 6 Vetro, Calogero 6 Wang, Fanglei 6 Wang, Jun 6 Yang, Yang 6 Zhang, Fubao 5 An, Yukun 5 Chen, Jianyi 5 Du, Xinsheng 5 Faraci, Francesca 5 Guo, Shangjiang 5 Isernia, Teresa 5 Li, Yuhua 5 Liu, Jiu 5 Liu, Zeng 5 Lü, Dengfeng 5 Naghizadeh, Zohreh 5 Pei, Ruichang 5 Severo, Uberlandio Batista 5 Smyrlis, George 5 Soave, Nicola 5 Suo, Hong-Min 5 Tang, Chun-Lei 5 Tian, Rushun 5 Vetro, Francesca 5 Wang, Dabin 5 Wei, Hui 5 Xie, Qilin 5 Zhao, Zengqin 5 Zhou, Ling ...and 886 more Authors
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### Cited in 170 Serials

 106 Journal of Mathematical Analysis and Applications 100 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 57 Boundary Value Problems 48 Applied Mathematics Letters 46 Journal of Differential Equations 26 Calculus of Variations and Partial Differential Equations 22 Journal of Mathematical Physics 22 Communications on Pure and Applied Analysis 20 Computers & Mathematics with Applications 20 Mathematical Methods in the Applied Sciences 19 Mediterranean Journal of Mathematics 17 Applicable Analysis 16 ZAMP. Zeitschrift für angewandte Mathematik und Physik 16 Applied Mathematics and Computation 16 Discrete and Continuous Dynamical Systems 15 Nonlinear Analysis. Real World Applications 14 NoDEA. Nonlinear Differential Equations and Applications 14 Communications in Contemporary Mathematics 12 Annali di Matematica Pura ed Applicata. Serie Quarta 12 Advances in Nonlinear Analysis 11 Topological Methods in Nonlinear Analysis 11 Advanced Nonlinear Studies 11 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 11 Complex Variables and Elliptic Equations 11 Journal of Function Spaces 9 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 9 Fixed Point Theory and Applications 9 Journal of Fixed Point Theory and Applications 8 Abstract and Applied Analysis 8 Positivity 8 Advances in Difference Equations 8 Discrete and Continuous Dynamical Systems. Series S 8 AIMS Mathematics 7 Archive for Rational Mechanics and Analysis 7 Acta Applicandae Mathematicae 7 Acta Mathematicae Applicatae Sinica. English Series 7 Electronic Journal of Differential Equations (EJDE) 6 Journal of Functional Analysis 6 Mathematische Nachrichten 6 Monatshefte für Mathematik 6 Proceedings of the Edinburgh Mathematical Society. Series II 6 SN Partial Differential Equations and Applications 5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 5 The Journal of Geometric Analysis 5 Journal of Dynamical and Control Systems 5 Science China. Mathematics 4 Applied Mathematics and Optimization 4 Glasgow Mathematical Journal 4 Manuscripta Mathematica 4 Results in Mathematics 4 Discrete Dynamics in Nature and Society 4 Acta Mathematica Sinica. English Series 4 Discrete and Continuous Dynamical Systems. Series B 4 Journal of Applied Mathematics 4 Boletim da Sociedade Paranaense de Matemática. Terceira Série 4 Journal of Applied Analysis and Computation 3 Osaka Journal of Mathematics 3 Proceedings of the American Mathematical Society 3 Communications in Partial Differential Equations 3 Journal of Dynamics and Differential Equations 3 Journal of the European Mathematical Society (JEMS) 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Milan Journal of Mathematics 3 Differential Equations and Applications 3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 3 Analysis and Mathematical Physics 3 Bulletin of Mathematical Sciences 3 Electronic Research Archive 2 Bulletin of the Australian Mathematical Society 2 Indian Journal of Pure & Applied Mathematics 2 Nonlinearity 2 Rocky Mountain Journal of Mathematics 2 Advances in Mathematics 2 Annales Polonici Mathematici 2 Canadian Mathematical Bulletin 2 Journal of the Korean Mathematical Society 2 Quaestiones Mathematicae 2 Tohoku Mathematical Journal. Second Series 2 Zeitschrift für Analysis und ihre Anwendungen 2 Applied Mathematics and Mechanics. (English Edition) 2 Bulletin of the Iranian Mathematical Society 2 Asymptotic Analysis 2 International Journal of Mathematics 2 Journal of Global Optimization 2 Turkish Journal of Mathematics 2 Bulletin des Sciences Mathématiques 2 Opuscula Mathematica 2 Mathematical Problems in Engineering 2 Journal of Inequalities and Applications 2 Communications in Nonlinear Science and Numerical Simulation 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 Nonlinear Analysis. Modelling and Control 2 Applied Mathematics E-Notes 2 Journal of Applied Mathematics and Computing 2 Advances in Calculus of Variations 2 Analysis & PDE 2 Journal of Nonlinear Science and Applications 2 Advances in Mathematical Physics 2 International Journal of Differential Equations 2 Set-Valued and Variational Analysis ...and 70 more Serials
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### Cited in 30 Fields

 895 Partial differential equations (35-XX) 124 Operator theory (47-XX) 100 Ordinary differential equations (34-XX) 93 Global analysis, analysis on manifolds (58-XX) 43 Calculus of variations and optimal control; optimization (49-XX) 38 Biology and other natural sciences (92-XX) 33 Integral equations (45-XX) 15 Dynamical systems and ergodic theory (37-XX) 15 Numerical analysis (65-XX) 11 Statistical mechanics, structure of matter (82-XX) 10 Real functions (26-XX) 10 Functional analysis (46-XX) 8 Quantum theory (81-XX) 7 General topology (54-XX) 6 Mechanics of deformable solids (74-XX) 5 Difference and functional equations (39-XX) 4 Potential theory (31-XX) 4 Mechanics of particles and systems (70-XX) 3 Differential geometry (53-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Measure and integration (28-XX) 2 Optics, electromagnetic theory (78-XX) 2 Systems theory; control (93-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Approximations and expansions (41-XX) 1 Algebraic topology (55-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX)