
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
- Xudong Shang, Jihui Zhang, Concentrating solutions of nonlinear fractional Schrödinger equation with potentials, J. Differential Equations, 258(2015) 1106- 1128.
- 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.
- Xudong Shang, Jihui Zhang, Ground states for fractional Schrödinger equations with critical growth, Nonlinearity, 27 (2014)187-207.
- Xudong Shang, Jihui Zhang, Yang Yang, Positive solutions of nonhomogeneous fractional Laplacian problem with criticalexponent, Commun, Pure Appl. Anal., 13 (2014) 567-584.
- Xudong Shang, Jihui Zhang, Existence and concentration behavior of positive solutions for a quasilinear Schrödinger equation, J. Math. Anal. Appl., 414(2014) 334-356.
- 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.
- 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.
- 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.
- Xingdong Tang, Jihui Zhang, Multiple results to some biharmonic problems, Abstract and Applied Analysis, 267052(2014)1-10.
- 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.
- Xudong Shang, Jihui Zhang, Yang Yang, Onfractional Schrödinger equation in RNwith critical growth, J. Math. Phys., 54 (121502) (2013) 1-20.
- Xudong Shang , Jihui Zhang,Existence and concentration of ground state solution to a critical $p$-Laplacian equation,Differential Equations &Applications, 5(2013) 577-594.
- 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.
- 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.
- Ruichang Pei, Jihui Zhang, Sign-changingsolutions for a fourth-order elliptic equation with Hardy singular terms, Journal of Applied Mathematics, 627570(2013)1-6.
- 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.
- 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.
- 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.
- Sihua Liang, Jihui Zhang*, Multiplicity ofsolutions to the weighted critical quasilinear problems, Proceedings of the Edinburgh Mathematical Society, 55(1) (2012) 181-195.
- Yang Yang, Jihui Zhang, Nontrivial solutions on a kind of fourth-order Neumann boundary value problems, Applied Mathematics and Computation, 218(2012) 7100-7108.
- 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.
- 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.
- Yanqin Fang, Jihui Zhang, Multiplicity ofsolutions for quasilinear ellipticequations with critical exponential growth, J. Appl. Math. Informatics, 29(5 - 6 )(2011)1229-1243.
- Yanqin Fang, Jihui Zhang, Multiplicity of solutions for elliptic system involving supercriticalSobolev exponent, Acta. Appl. Math., 115(2011) 255-264.
- Yanqin Fang, Jihui Zhang, Multiplicity of solutions for the nonlinear Schrodinger-Maxwell system, Comm. PureAppl. Anal., 10(4) (2011) 1267-1279.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- Xiaohuan Wang, Jihui Zhang, Existence of traveling wavefronts of discrete reaction-diffusion equations with delay,J. Appl. Math. Comput., 35(2011) 19-36.
- Yanqin Fang, Jihui Zhang, Multiplicity of solutions for a class of elliptic systems with critical Sobolev exponent, Nonlinear Analysis, 73(9) (2010) 2767-2778.
- 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.
- 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.
- Zhiyong Wang, Jihui Zhang, Periodic solutions of a class of second order non-autonomous Hamiltonian systems,Nonlinear Analysis, 72(2010) 4480-4487.
- Xudong Shang, Jihui Zhang, Three solutions for a perturbed Dirichlet boundary value problem involving the p-Laplacian, Nonlinear Analysis, 72(2010) 1417-1422.
- 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.
- 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.
- 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.
- Sihua Liang, Jihui Zhang, Existence of multiple positive solutions of nth-order m-point boundary value problems, Mathematica Bohemica, 135(1) (2010) 15-28.
- 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.
- Yang Yang, Jihui Zhang, Positive and negative solutions of a class of nonlocal problems, Nonlinear. Analysis, 73(1) (2010) 25-30.
- Yang Yang, Jihui Zhang, Existence results for a fourth-order boundary value problem with parameter, Appl. Math. Mech., 31(3) (2010) 377-384.
- Yang Yang, Jihui Zhang, Nontrivial solutions of a class of nonlocal problems via local linking theory, Appl. Math. Lett., 23(4) (2010) 377-380
- ZhangJihui, Existence results for the positive solutions of nonlinear elliptic systems, Applied Mathematics and Computation, 153(2004) 833-842.
- ZhangJihui, Li Shujie, Multiple nontrivial solutions for some fourth-order semilinear elliptic problems, Nonlinear Analysis, 60(2005)221-230.
- ZhangJihui, Multiple nontrivial solutions for some fourth order quasilinear ellipticproblems, Nonlinear Analysis, (2005)
- ZhangJihui, Some minimax inequalities for mappings with noncompact domain, Appl. Math. Lett., 17(2004) 717-720.
- ZhangJihui,Multiple solutions for some fourth order nonlinear elliptic variational inequalities, Nonlinear Analysis, (2005)
- LuHaishu and Zhang Jihui,Minimax inequalities in the spaces without linear structure,TAIWANESE JOURNAL OF MATHEMATICS,8(4)(2004) 703-712.
- ZhangJihui, Existence results for som fourth-order nonlinear elliptic problems, Nonlinear Analysis, 45(2001),29-36.
- 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.
- 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)
- ZhangJihui, Existence results for the positive solutionsof nonlinear elliptic systems, Appl. Math..Comp., 153(2004) 833–842
- Zhang Jihui, Some minimax inequalities for mappingswithnoncompact domain, Appl. Math. Lett., 17(2004) 717-720
- ZhangJihui,TheDirichlet Problems for the Semilinear Kohn Laplace'sEquationson the Heisenberg Group, Math. Appl., 1(2005)
- ZhangJihui, Minimax Inequalities of Ky Fan, Appl. Math. Lett., 11 (6) (1998), 37-41.
- Zhang Jihui, Existence results for som fourth-order nonlinear elliptic problems, Nonlinear Analysis, 45(2001),29-36.
- ZhangJihui, Existence Results for the Positive Solutionsof Nonlinear Elliptic Systems, Appl. Math. Comp., 153(2004) 833–842.
- Zhang Jihui, PengchengNiu, Existence results for the positive solutions of semilinear equations on the Heisenberg group, Nonlinear Analysis, 31, (1998), 181-189.
- ZhangJihui, Some Minimax Inequalities for Mappings with Noncompact Domain, Appl. Math. Lett., 17(2004) 717-720
- 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.
- Zhang Jihui, Positive solutions of eigenvalue problems for some fourth order nonlinear equations on the Heisenberg group, J. Contemporary Mathematics, 22(2001),45-54.
- Zhang Jihui, General strongly nonlinear variational inequalities for multifunctions, Appl. Math. Lett., 8(3)(1995),75-80.
- 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.
- Zhang Jihui and Luo Xuebo, Existence results for nonlinear equations on the Heisenberg group, Appl. Math., 4(1999),73-77.
- Luo Xuebo, Zhang Jihui, Existence results for nonlinear subelliptic equations on the Heisenberg group, Northeast.Math.J. 15(1999), 433-438.
- Lu Haishu, Zhang Jihui, Minimax inequalities in the spaces without linear structure, ICM2002GTA proceedings Volume, Qingdao Publishing House,431-438.
- Zhang Jihui, Existence results of the positive solutions for a fourth order semilinear elliptic variational inequalities,Math. Appl. 16(2003) 160-166.
- Zhang Jihui, Solvability of the fourth order nonlinear subelliptic equations on the Heisenberg group, Appl.Math.J.ChineseUniv.Ser.B,18(2003) 45-52.
- Zhang Jihui,Multiple solutions for some fourth order nonlinear elliptic variational inequalities, Nonlinear Analysis, 63(2005)e23–e31.
- Zhang Jihui, Multiple nontrivial solutions for some fourth order quasilinear elliptic problems, Nonlinear Analysis, 63(2005)e2533–e2544.
- 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.
- Liu Baofang, Zhang Jihui, The existence of positive solutions for some nonlinear equation systems. J.Math.Anal.Appl. 324(2006)970-981.
- Liang Sihua, Zhang Jihui, Positive solutions of 2nth-order ordinary differential equations with multi-point boundary conditions, Appl. Math. Comput., 197(2008),262-270.
- 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.
- 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.
- 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.
- 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.
- Yang Yang, Zhang Jihui, Existence of solutions for some fourth-order boundary value problems with parameters, Nonlinear Analysis, 69(2008),1364-1375.
- 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.
- Yang Yang, Zhang Jihui, Existence results for a nonlinear system with a parameter,J. Math. Anal. Appl., 340(2008), 658-668.
- Miao YH, Zhang Jihui, Positive solutions of three-point boundary value problems, APPLIED MATHEMATICS AND MECHANICS, 29(6)(2008) 817-823.
- 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),
- 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.
- Zhang Jihui and Zhitao Zhang, Existence results for some nonlinear elliptic systems, Nonlinear Analysis 71 (2009) 2840_2846.
- 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.
- 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.
- 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.
- 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.
- Yang Yang, Jihui Zhang, Existence of solutions for some discrete boundary value problems with a parameter, Appl. Math. Comput,211 (2009) 293-302.
- 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.
- Yang Yang, Jihui Zhang,Existence and multiple solutions for a nonlinear system with a parameter,Nonlinear Anal, 70 (2009) 2542-2548.
- Yang Yang, Jihui Zhang, Nontrivial solutions for some fourth order boundary value problems with parameters, Nonlinear. Anal. 70 (2009) 3966-3977.
- Yang Yang, Zhang Jihui, Existence of solutions for some fourth-order nonlinear elliptic problems, J. Math. Anal. Appl., 351(2009), 128-137.
- ZhiyongWanga,_, JihuiZhangb, Zhitao Zhang, Periodic solutions of second order non-autonomous Hamiltonian systems with local superquadratic potential, Nonlinear Analysis 70 (2009) 3672_3681
- Zhang Jihui and Zhitao Zhang, Existence results for some nonlinear elliptic systems, Nonlinear Analysis 71 (2009) 2840_2846.
- 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.
- Zhiyong Wang , JihuiZhangb, ZhitaoZhangc,,Periodic solutions of second order non-autonomous Hamiltonian systems with local superquadratic potentialNonlinear Analysis 70 (2009) 3672-3681
- 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.
- 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
- 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
- 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.
- 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
- 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
- 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
- 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
- Sihua Liang, Jihui Zhang, The method of lower and upper solutions for 2nth-order multi-pointboundary value problems,Nonlinear Analysis 71 (2009) 4581 4587
- 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
- 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
- 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
- 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
- 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
- Sihua Liang, Jihui Zhang, Positive solutions for boundary value problems of nonlinear fractionaldifferential equation,Nonlinear Analysis 71 (2009) 5545 5550
- 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.
- 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