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Faculty

Jihui Zhang Professor

Bio: 

 

Educational Background

  • PhD, Department ofMathematics,Lanzhou University(1997)
  • MA, Department ofMathematics,Northwest Normal University (1988)
  • BA, Department ofMathematics,Lanzhou University (1982)

 

Professional Experiences

  • School of Mathematical Sciences, Nanjing Normal University (1999)
  • Institute of Mathematical Sciences, Chinese University of HongKong, HongKong(2011)
  • Institute of Mathematical Sciences, Chinese University of HongKong, HongKong(2009)
  • Academy of Mathematics and Systems Sciences, Institute of Mathematics, The Chinese Academy of Sciences(2008)
  • Academy of Mathematics and Systems Sciences, Institute of Mathematics, The Chinese Academy of Sciences(2003)
  • Department ofMathematics, TianshuiNormal University (1982)

 

Research

Research Interests

Partial differential equations, Nonlinear analysis

Research Projects

The nonlinear partial differential equations in quantum mechanics

Journal Articles

  1. Xudong Shang, Jihui Zhang, Concentrating solutions of nonlinear fractional Schrödinger equation with potentials, J. Differential Equations, 258(2015) 1106- 1128.
  2. Xudong Shang, Jihui Zhang, Multi-peak positive solutions for a fractional nonlinear elliptic equation, Discrete and Continuous Dynamical Systems- A, 35(7) (2015)3183-3201.
  3. Xudong Shang, Jihui Zhang, Ground states for fractional Schrödinger equations with critical growth, Nonlinearity, 27 (2014)187-207.
  4. Xudong Shang, Jihui Zhang, Yang Yang, Positive solutions of nonhomogeneous fractional Laplacian problem with criticalexponent, Commun, Pure Appl. Anal., 13 (2014) 567-584.
  5. Xudong Shang, Jihui Zhang, Existence and concentration behavior of positive solutions for a quasilinear Schrödinger equation, J. Math. Anal. Appl., 414(2014) 334-356.
  6. Sihua Liang, Jihui Zhang, Existence of solutions for Kirchhoff type problems  with critical nonlinearity in R3, Nonlinear Analysis: Real World Applications, 17  (2014)126–136.
  7. Sihua Liang, Jihui Zhang, Existence and uniqueness of positive solutions for integral boundary problems of nonlinear  fractional differential equations with p-laplacian operator, Rocky Mountain Journal of Math., 44 (2014)953-974.
  8. Xingdong Tang, Jihui Zhang, On the blowup phenomenon for N-coupled focusing Schrödinger system in Rd(d≥3)，Acta Mathematica Sinica-English Series, 30(7)(2014)1161-1179.
  9. Xingdong Tang, Jihui Zhang, Multiple results to some biharmonic problems, Abstract and Applied Analysis, 267052(2014)1-10.
  10. Yanqin Fang, Jihui Zhang, Nonexistence of positive solution for an integral equation on a half-space Rn, Commun, Pure Appl. Anal., 12 (2013) 663-678.
  11. Xudong Shang, Jihui Zhang, Yang Yang, Onfractional Schrödinger equation in RNwith critical growth, J. Math. Phys., 54 (121502) (2013) 1-20.
  12. Xudong Shang , Jihui Zhang，Existence and concentration of ground state solution to a critical $p$-Laplacian equation，Differential Equations &Applications, 5(2013) 577-594.
  13. Sihua Liang, Jihui Zhang, Multiple solutions for noncooperative p(x)- Laplacian equations in R-N involving the critical exponent, J. Math. Anal. Appl., 403(2013)344-356.
  14. Sihua Liang, Jihui Zhang, Infinitely many small solutions for the p(x)- Laplacian operator with nonlinear boundary conditions, Annali di MatematicapuraedApplicata, 192(2013)1-16.
  15. Ruichang Pei, Jihui Zhang, Sign-changingsolutions for a fourth-order elliptic equation with Hardy singular terms, Journal of Applied Mathematics, 627570(2013)1-6.
  16. Haishu Lu, Jihui Zhang, A section theorem with applications to coincidence theorems and minimax inequalities in FWC-spaces, Computers and Mathematics with Applications, 64(2012) 579-588.
  17. Sihua Liang, Jihui Zhang, Existence and uniqueness of positive solutions to m-point boundary value problem for nonlinear fractional differential equation, J.  Appl. Math. Comput., 38(2012) 225-241.
  18. Sihua Liang, Jihui Zhang, Existence and uniqueness of positive solutions for three-point boundary value problem with fractional q-differences, J. Appl. Math. Comput., 40(2012) 277-288.
  19. Sihua Liang, Jihui Zhang*, Multiplicity ofsolutions to the weighted critical quasilinear problems, Proceedings of the Edinburgh Mathematical Society, 55(1) (2012) 181-195.
  20. Yang Yang, Jihui Zhang, Nontrivial solutions on a kind of fourth-order Neumann boundary value problems, Applied Mathematics and Computation, 218(2012) 7100-7108.
  21. Sihua Liang, Jihui Zhang, Existence of positive solutions for the p- Laplacian with nonlinear boundary conditions, NonlinearDynamics and Systems Theory, 12(1) (2012) 97-103.
  22. Dacheng Cui, Jihui Zhang, MingweiFei, Existence and concentration of bounded states of a class of nonlinear Schrödinger equations in R2with potential tending to zero at infinity, Acta Mathematica Sinica, English Series，28(11)(2012) 2243-2274.
  23. Yanqin Fang, Jihui Zhang, Multiplicity ofsolutions for quasilinear ellipticequations with critical exponential growth, J. Appl. Math. Informatics, 29（5 - 6 ）(2011)1229-1243.
  24. Yanqin Fang, Jihui Zhang, Multiplicity of solutions for elliptic system involving supercriticalSobolev exponent, Acta. Appl. Math., 115(2011) 255-264.
  25. Yanqin Fang, Jihui Zhang, Multiplicity of solutions for the nonlinear Schrodinger-Maxwell system, Comm. PureAppl. Anal., 10(4) (2011) 1267-1279.
  26. Ying Shen, Jihui Zhang, Multiplicity of positive solutions for a semilinear p-Laplacian system with Sobolev critical exponent, Nonlinear Analysis, 74(4)  (2011) 1019-1030.
  27. Ying Shen, Jihui Zhang, Multiplicity of positive solutions for a navier boundary-value problem involving the  p-biharmonic with critical exponent, Electronic Journal of Differential Equations, 2011(47) (2011) 1-14.
  28. Ying Shen, Jihui Zhang, Existence of positive entire solutions of a  semilinearp-laplacian problem with a gradient term, Differential Equations & Applications,  3(2) (2011) 225-233.
  29. Ying Shen, Jihui Zhang, Existence of two solutions for a navier boundary  value problem involving the p–biharmonic, Differential Equations & Applications, 3(3) (2011) 399-414.
  30. Sihua Liang, Jihui Zhang, Solutions ofperturbed Schrödinger equations with electromagnetic fields and critical nonlinearity, Proceedings of the Edinburgh Mathematical Society, 54(1) (2011) 131-147.
  31. Sihua Liang, Jihui Zhang, Existence of three positive solutions of m-point boundary value problems for some nonlinear fractional differential equations on  an infinite interval, Computers & Mathematics with Applications, 61(11)(2011) 3343-3354.
  32. Sihua Liang,Jihui Zhang, Existence of multiple positive solutions for m- point fractional boundary value problems on an infinite interval, Mathematical and Computer Modelling, 54(5-6) (2011) 1334-1346.
  33. Sihua Liang, Jihui Zhang, Existence and uniqueness of strictly nondecreasingand positive solution for a fractional  three-point boundary value problem, Computers and Mathematics with Applications, 62(2011) 1333-1340.
  34. Xiaohuan Wang, Jihui Zhang, Existence of traveling wavefronts of discrete reaction-diffusion equations with delay,J. Appl. Math. Comput., 35(2011) 19-36.
  35. Yanqin Fang, Jihui Zhang, Multiplicity of solutions for a class of elliptic systems with critical Sobolev exponent, Nonlinear Analysis, 73(9) (2010) 2767-2778.
  36. Hongyun Wu, Jihui Zhang, Positive solutions of higher-order four-point boundary value problem with p-Laplacian operator, Journal of Computational and Applied Mathematics, 233(2010) 2757-2766.
  37. Xiaohuan Wang, Jihui Zhang, Impulsive anti-periodic boundary value problem of first-order integro-differential equations, Journal of Computational andApplied Mathematics, 234(2010) 3261-3267.
  38. Zhiyong Wang, Jihui Zhang, Periodic solutions of a class of second order non-autonomous Hamiltonian systems,Nonlinear Analysis, 72(2010) 4480-4487.
  39. Xudong Shang, Jihui Zhang, Three solutions for a perturbed Dirichlet boundary value problem involving the p-Laplacian, Nonlinear Analysis, 72(2010) 1417-1422.
  40. Sihua Liang, Jihui Zhang, Positive solutions for singular third-orderboundary value problem with dependence on the first order derivative on the half-line,  ActaApplicandaeMathematicae, 111(1) (2010) 27-43.
  41. Sihua Liang, Jihui Zhang, Existence of three positive solutions of three-order with m-point impulsive boundary value problems, ActaApplicandae Mathematicae,110(1) (2010) 353-365.
  42. Sihua Liang, Jihui Zhang, Multiplicity ofsolutions for a class ofquasilinearelliptic equation involving the critical Sobolev and Hardy exponents，NoDEA : Nonlinear Differential Equations and Applications, 17(1) (2010) 55-67.
  43. Sihua Liang, Jihui Zhang, Existence of multiple positive solutions of nth-order m-point boundary value problems, Mathematica Bohemica, 135(1) (2010) 15-28.
  44. Sihua Liang, Jihui Zhang, Fan Fan, Infinitely many small solutions for thep&q-Laplacian problem with critical sobolev and hardy exponents, J. Appl. Math. Informatics, 28(5-6) (2010) 1143-1156.
  45. Yang Yang, Jihui Zhang, Positive and negative solutions of a class of nonlocal problems, Nonlinear. Analysis, 73(1) (2010) 25-30.
  46. Yang Yang, Jihui Zhang, Existence results for a fourth-order boundary value problem with parameter, Appl. Math. Mech., 31(3) (2010) 377-384.
  47. Yang Yang, Jihui Zhang, Nontrivial solutions of a class of nonlocal problems  via local linking theory, Appl. Math. Lett., 23(4) (2010) 377-380
  48. ZhangJihui,  Existence results for the positive solutions of nonlinear elliptic systems, Applied Mathematics and Computation,  153(2004) 833-842.
  49. ZhangJihui, Li Shujie,  Multiple nontrivial solutions for some fourth-order semilinear elliptic problems, Nonlinear Analysis, 60(2005)221-230.
  50. ZhangJihui, Multiple nontrivial solutions  for some fourth  order  quasilinear ellipticproblems, Nonlinear Analysis, (2005)
  51. ZhangJihui, Some minimax inequalities for mappings with noncompact domain, Appl. Math. Lett., 17(2004) 717-720.
  52. ZhangJihui,Multiple solutions for some fourth order nonlinear elliptic variational inequalities, Nonlinear Analysis, (2005)
  53. LuHaishu and Zhang Jihui,Minimax inequalities in the spaces without linear structure,TAIWANESE JOURNAL OF MATHEMATICS,8(4)(2004) 703-712.
  54. ZhangJihui, Existence results for som fourth-order nonlinear elliptic problems,                                 Nonlinear Analysis, 45(2001),29-36.
  55. XuGuixiang  Zhang Jihui, Existence results  for some fourth-order nonlinear elliptic problems of  local superlinearity and sublinearity,  J.Math.Anal.Appl. 281(2003) 633-640.
  56. ZhangJihui,TheDirichlet Problems for the Semilinear Kohn Laplace's Equations on the Heisenberg Group, Math. Appl. 1(2005).10.LiuBaofang, Zhang Jihui,The existence of positive solutions for some nonlinear mixed boundary value problems, J.Math.Anal.Appl. (2005)
  57. ZhangJihui,  Existence results for the positive solutionsof nonlinear elliptic systems, Appl. Math..Comp., 153(2004) 833–842
  58. Zhang Jihui, Some minimax inequalities for mappingswithnoncompact domain, Appl. Math. Lett., 17(2004) 717-720
  59. ZhangJihui,TheDirichlet Problems for the Semilinear Kohn Laplace'sEquationson the Heisenberg Group, Math. Appl., 1(2005)
  60. ZhangJihui, Minimax Inequalities of Ky Fan, Appl. Math. Lett., 11 (6) (1998), 37-41.
  61. Zhang Jihui, Existence results for som fourth-order nonlinear elliptic problems, Nonlinear Analysis, 45(2001),29-36.
  62. ZhangJihui, Existence Results for the Positive Solutionsof Nonlinear Elliptic Systems, Appl. Math. Comp., 153(2004) 833–842.
  63. Zhang Jihui, PengchengNiu, Existence results for the positive solutions of semilinear equations on the Heisenberg group, Nonlinear Analysis, 31, (1998), 181-189.
  64. ZhangJihui, Some Minimax Inequalities  for Mappings with Noncompact Domain, Appl. Math. Lett., 17(2004) 717-720
  65. Ma Ruyun, Zhang Jihui and Fu Shengmao,The method of lower and upper solutions for fourth-order two-poit boundary value problems, J.Math. Anal. Appl., 215(1997),415-422.
  66. Zhang Jihui, Positive solutions of eigenvalue problems for some  fourth order nonlinear equations on the  Heisenberg group, J. Contemporary Mathematics, 22(2001),45-54.
  67. Zhang Jihui, General strongly nonlinear variational inequalities for  multifunctions, Appl. Math. Lett., 8(3)(1995),75-80.
  68. Zhang Jihui and Luo Xuebo, Existence results for the positive solutions of a fourth nonlinear equations on the Heisenberg group, J. Part. Diff. Eqns., 13(2000),123-132.
  69. Zhang Jihui and Luo Xuebo, Existence results for nonlinear equations  on the Heisenberg group,  Appl. Math., 4(1999),73-77.
  70. Luo Xuebo, Zhang Jihui, Existence results for nonlinear subelliptic equations on the Heisenberg group, Northeast.Math.J. 15(1999), 433-438.
  71. Lu Haishu, Zhang Jihui, Minimax inequalities in the spaces without linear structure, ICM2002GTA proceedings Volume, Qingdao Publishing House,431-438.
  72. Zhang Jihui,  Existence results of the positive solutions for a fourth  order semilinear elliptic variational inequalities，Math. Appl. 16(2003) 160-166.
  73. Zhang Jihui, Solvability of the fourth order nonlinear subelliptic equations on the Heisenberg group, Appl.Math.J.ChineseUniv.Ser.B，18(2003) 45-52.
  74. Zhang Jihui,Multiple solutions for some fourth order nonlinear elliptic variational inequalities, Nonlinear Analysis, 63(2005)e23–e31.
  75. Zhang Jihui, Multiple nontrivial solutions  for some fourth  order  quasilinear elliptic problems, Nonlinear Analysis, 63(2005)e2533–e2544.
  76. Liu Baofang, Zhang Jihui, The existence of positive solutions for somenonlinear boundary value problems with linear mixed boundary conditions, J.Math.Anal.Appl. 309(2005)505-516.
  77. Liu Baofang, Zhang Jihui, The existence of positive solutions for some nonlinear equation systems. J.Math.Anal.Appl. 324(2006)970-981.
  78. Liang Sihua, Zhang Jihui, Positive solutions of 2nth-order ordinary differential equations with multi-point boundary conditions, Appl. Math. Comput., 197(2008),262-270.
  79. Liang Sihua, Zhang Jihui,  The existence of countably many positive solutionsfor one-dimensional p-Laplacian with infinitely many singularities on the half-line,  Appl. Math. Comput., 201(2008),210-220.
  80. Liang Sihua, Zhang Jihui, and Zhiyong Wang,  Existence of countably many positive solutions for nth-order m-point boundary-value problems on time scales, Electronic J. Differential Equations, 2008(123)(2008),1-13.
  81. Liang Sihua, Zhang Jihui, The existence of countably many positive solutions for nonlinear singular m-point boundary value problems, J. Comput. Appl. Math.,214(2008),78-89.
  82. Liang Sihua, Zhang Jihui, The existence of countably many positive solutions for nonlinear singular m-point boundary value problems on the half-line, J. Comput. Appl. Math.,222(2008),229-243.
  83. Yang Yang, Zhang Jihui, Existence of solutions for some fourth-order boundary value problems with parameters, Nonlinear Analysis, 69(2008),1364-1375.
  84. Yang Yang, JihuiZhang,andZhitao Zhang, Multiple Nodal Solutions for Some Fourth-Order Boundary Value Problems via Admissible Invariant Sets, Boundary Value Problems, 2008(403761)(2008),1-12.
  85. Yang Yang, Zhang Jihui, Existence results for a nonlinear system with a parameter,J. Math. Anal. Appl., 340(2008), 658-668.
  86. Miao YH, Zhang Jihui, Positive solutions of three-point boundary value problems, APPLIED MATHEMATICS AND MECHANICS, 29(6)(2008)  817-823.
  87. Shang Xudong, Zhang Jihui, Positive Solutions of Elliptic and Parabolic Problems With Nonloca l Lower Order Terms, JOURNAL OF NANJ ING NORMAL UN IVERSITY(Natural Science Edition),
  88. Zhiyong Wang and Jihui Zhang, Existence and Iteration of Positive Solutions for One-Dimensional p-Laplacian Boundary Value Problems with Dependence on the First-Order Derivative,Boundary Value Problems, 2008(860414)(2008),1-14.
  89. Zhang Jihui and Zhitao Zhang, Existence results for some nonlinear elliptic systems, Nonlinear Analysis 71 (2009) 2840_2846.
  90. Liang Sihua, Zhang Jihui, The existence of countably many positive solutions for nonlinear singular m-point boundary value problems on time scales, J. Comput. Appl. Math., 223(2009), 291-303.
  91. Liang Sihua, Zhang Jihui, Existence of countably many positive solutions of nth-order m-pointboundary value problems, J. Comput. Appl. Math.,224(2009), 527_537.
  92. Liang Sihua, Zhang Jihui and Zhiyong Wang, The existence of three positive solutions of m-point boundary value problems for some dynamic equations on time scales, Math. Comp. Modelling, 49 (2009) 1386-1393.
  93. Liang Sihua, Zhang Jihui , The existence of countably many positive solutions for some nonlinearthree-point boundary problems on the half-line Nonlinear Analysis 70 (2009) 3127–3139.
  94. Yang Yang, Jihui Zhang, Existence of solutions for some discrete boundary value problems with a parameter, Appl. Math. Comput，211 (2009) 293-302.
  95. Yang Yang, Jihui Zhang, Infinitely many mountain pass solutions on a kind of fourth-order Neumann boundary value problem, Appl. Math. Comput, 213 (2009) 262-271.
  96. Yang Yang, Jihui Zhang，Existence and multiple solutions for a nonlinear system with a parameter，Nonlinear Anal, 70 (2009) 2542-2548.
  97. Yang Yang, Jihui Zhang, Nontrivial solutions for some fourth order boundary value problems with parameters, Nonlinear. Anal. 70 (2009) 3966-3977.
  98. Yang Yang, Zhang Jihui, Existence of solutions for some fourth-order nonlinear elliptic problems, J. Math. Anal. Appl., 351(2009), 128-137.
  99. ZhiyongWanga,_, JihuiZhangb, Zhitao Zhang, Periodic solutions of second order non-autonomous Hamiltonian systems with local superquadratic potential, Nonlinear Analysis 70 (2009) 3672_3681
  100. Zhang Jihui and Zhitao Zhang, Existence results for some nonlinear elliptic systems, Nonlinear Analysis 71 (2009) 2840_2846.
  101. Xudong Shang, Jihui Zhang;  Existence of positive solutions for quasilinear elliptic systems involving the p-Laplacian, Electron. J. Diff.  Eqns., Vol. 2009(2009), No. 71, pp. 1-7.
  102. Zhiyong Wang , JihuiZhangb, ZhitaoZhangc,,Periodic solutions of second order non-autonomous Hamiltonian systems with local superquadratic potentialNonlinear Analysis 70 (2009) 3672-3681
  103. Zhiyong Wanga,JihuiZhang,Periodic solutions of non-autonomous second order systems with p-laplacian,Electronic Journal of Differential Equations, Vol. 2009(2009), No. 17, pp. 1-12.
  104. Yang Yang, Jihui Zhang,Existence and multiple solutions for a nonlinear system with a parameter,Nonlinear Analysis: Theory, Methods & Applications, Volume 70, Issue 7, 1 April 2009, Pages 2542-2548
  105. Yang Yang, JihuiZhang,Infinitely many mountain pass solutions on a kind of fourth-order Neumann boundary value problem,Applied Mathematics and Computation, Volume 213, Issue 1, 1 July 2009, Pages 262-271
  106. Yang Yang, JihuiZhang,Existence of infinitely many mountain pass solutions for some fourth-order boundary value problems with a paramet,Nonlinear Analysis 71 (2009) 6135-61434.
  107. Yang Yang, JihuiZhang,Nontrivial solutions for some fourth order boundary value problems with parameters,Nonlinear Analysis: Theory, Methods & Applications, Volume 70, Issue 11, 1 June 2009, Pages 3966-3977
  108. Yang Yang, JihuiZhang,Existence of solutions for some fourth-order nonlinear elliptic problems,Journal of Mathematical Analysis and Applications, Volume 351, Issue 1, 1 March 2009, Pages 128-137
  109. Yang Yang, JihuiZhang,Existence of solutions for some discrete boundary value problems with a parameter, Applied Mathematics and Computation, Volume 211, Issue 2, 15 May 2009, Pages 293-302
  110. Sihua Liang, Jihui Zhang, Zhiyong Wang, The existence of three positive solutions of m-point boundary valueproblems for some dynamic equations on time scales, Mathematical and Computer Modelling 49 (2009) 1386 1393
  111. Sihua Liang, Jihui Zhang, The method of lower and upper solutions for 2nth-order multi-pointboundary value problems,Nonlinear Analysis 71 (2009) 4581 4587
  112. Sihua Liang, Jihui Zhang, The existence of countably many positive solutions for some nonlinearthree-point boundary problems on the half-line,Nonlinear Analysis 70 (2009) 3127–3139
  113. Sihua Liang, Jihui Zhang, Zhiyong Wang, The existence of multiple positive solutions for multi-point boundaryvalue problems on the half-line,Journal of Computational and Applied Mathematics 228 (2009) 10-19
  114. Sihua Liang, Jihui Zhang, The existence of countably many positive solutions for nonlinear singular m-point boundary value problems on time scales, Journal of Computational and Applied Mathematics 223 (2009) 291–303
  115. Sihua Liang, Jihui Zhang, Existence of countably many positive solutions of nth-order m-pointboundary value problems,Journal of Computational and Applied Mathematics 224 (2009) 527 537
  116. Sihua Liang, Jihui Zhang, The existence of countably many positive solutions for some nonlinearsingular three-point impulsive boundary value problems,Nonlinear Analysis 71 (2009) 4588 4597
  117. Sihua Liang, Jihui Zhang, Positive solutions for boundary value problems of nonlinear fractionaldifferential equation,Nonlinear Analysis 71 (2009) 5545 5550
  118. Sihua Liang, Jihui Zhang, Existence of multiple positive solutions for third-order boundary-value problem on thehalf-line with dependence on the first orderderivative,Electronic Journal of Differential Equations, Vol. 2009(2009), No. 89, pp. 1–12.
  119. Sihua Liang, Jihui Zhang, The existence of three positive solutionsfor some nonlinear boundary value problemson the half-line, Positivity 13 (2009), 443–457

 

Contact

Zhangjihui@njnu.edu.cn