Shapour Heidarkhani


Department of Mathematics
Faculty of Sciences
Razi University

Address: Department of Mathematics,Faculty of Sciences,
Razi University, Tagh-e- Bostan, Kermanshah, Iran
Tel:+98(831)4274569
Fax:+98(831)4274569

Email(s):
s.heidarkhani@razi.ac.ir

and
sh.heidarkhani@yahoo.com


Personal Information

    Name: Shapour Heidarkhani

    Date of Birth: 15 May 1980

    Place of Birth: Kermanshah, Iran



Educational Records

  • Ph.D.  in Pure Mathematics-Nonlinear Analysis: 2009, University of Mazandaran, Babolsar, Iran and University of Perpignan, France (Ph.D sabbatical leave)

  • M.SC. in Pure Mathematics-Analysis: 2005, University of Mazandaran, Babolsar, Iran

  • B.SC. in Pure Mathematics: 2002, Razi university, Kermanshah, Iran




Research interests 

  1. Nonlinear Analysis:
    Variational Principles, Critical Point Theory,
    Variational Inequalities

  2. Partial Differential Equations :
    Semilinear and Quasilinear,
    Elliptic Boundary Value Problems

  3. Applied Mathematics:
    Non-Smooth Mechanics,
    Dynamical Systems



List of Publications

  • Papers in Refereed Journals:

    90-(with G.A. Afrouzi and A. Hadjian)Multiplicity results for elliptic problems with variable exponent and nonhomogeneous Neumann conditions, Mathematical Methods in the Applied Sciences, to appear.

    89-(with G.A. Afrouzi and A. Hadjian)Steklov problems involving the p(x)-Laplacian, Electronic Journal of Differential Equations, Vol. 2014 (2014), No. 134, pp. 1-11.

    88-Infinitely many solutions for nonlinear perturbed fractional boundary value problems,
    Annals of the University of Craiova - Mathematics and Computer Science Series, to appear.

    87-(with J.R. Graef and L. Kong )Nontrivial solutions for systems of Sturm-Liouville boundary value problems, Differential Equations & Applications - DEA, 6(2) (2014) 255-265.

    86-(with M. Ferrara)Multiple solutions for perturbed p-Laplacian boundary value problem with impulsive effects, Electronic Journal of Differential Equations, vol. 2014 (2014), No. 106, pp. 1-14.

    85-(with S. Khademloo and A. Solimaninia)Multiple solutions for a perturbed fourth-order Kirchhoff type elliptic problem,  Portugaliae Mathematica  71, Fasc 1 (2014) 39-61.

    84-(with J.R. Graef and L. Kong)Infinitely many solutions for systems of Sturm-Liouville boundary value problems, Results in Mathematics, to appear.

    83-(with M. Ferrara and S. Khademloo)Multiplicity results for perturbed fourth-order Kirchhoff type elliptic problems, Applied Mathematics and Computation 234 (2014) 316–325.

    82-(with J. Henderson)Multiple solutions for a Dirichlet quasilinear system containing a parameter, Georgian Mathematical Journal  21(2) (2014)187–197.

    81-(with J. Henderson and M.  Khaleghi Moghadam)Infinitely many solutions for perturbed difference equations, Journal of Difference Equations and Applications 20(7) (2014) 1055-1068.

    80-(with M.  Khaleghi Moghadam)Existence of three solutions for perturbed nonlinear difference equations, Opuscula Mathematica, to appear.

    79-( with J.R. Graef and L. Kong)Existence of nontrivial solutions to systems of multi-point boundary value problems, Discrete and Continuous Dynamical Systems, Supplement 2013, pp. 273-281.

    78-Multiple solutions for a quasilinear second order differential equation depending on a parameter, Acta Math. Sin. (Engl. Ser.), to appear.

    77-(with M. Karami)Infinitely many solutions for a class of Dirichlet boundary value problems with impulsive effects, Bull. Math. Soc. Sci. Math. Roumanie, to appear.

    76-Multiple solutions for a nonlinear perturbed fractional boundary value problem, Dynamic Systems and Applications 23 (2014) 317-332.

    75-(with G.A. Afrouzi and A. Hadjian)Existence of three anti-periodic solutions for second-order impulsive differential inclusions with two parameters, Discussiones Mathematicae Differential Inclusions, Control and Optimization 33 (2013) 115-133.


    74-(with G.A. Afrouzi and A. Hadjian)Existence of multiple solutions for a mixed boundary-value problem, Electronic Journal of Differential Equations, Vol. 2013 (2013) No. 125, pp. 1-16.


    73-(with G.A. Afrouzi, A. Hadjian and J. Henderson)Existence of infinitely many anti-periodic solutions for second-order impulsive differential inclusions, Electronic Journal of Differential Equations, Vol. 2013 (2013), No. 97, pp. 1-13

    72-(with G. D'Agui and G. Molica Bisci)Multiple solutions for a perturbed mixed boundary value problem involving the one-dimensional p-Laplacian, Electronic Journal of Qualitative Theory of Differential Equations (EJQTDE) 2013, No. 24, 1-14.

     
    71-(with J. Henderson)Critical point approaches to quasilinear second order differential equations depending on a parameter, Topological Methods in Nonlinear Analysis, to appear.
     
    70-(with G. Bonanno and D. O'Regan)Nontrivial solutions for Sturm-Liouville systems via a local minimum theorem for  functionals, Bulletin of the Australian Mathematical Society, 89 (2014) 8-18.
     
    69-(with J. Henderson)Infinitely many solutions for a perturbed quasilinear two-point boundary value problem, Scientic Annals of "Al.I. Cuza" University of Iasi, to appear.
     
    68-( with J.R. Graef and L. Kong)Multiple solutions for systems of mmulti-point boundary value problems, Opuscula Mathematica 33, no. 2 (2013) 293–306.
     
    67-( with J.R. Graef and L. Kong)Multiple solutions for a class of (p1,…,pn)-biharmonic systems, Communications on Pure and Applied Analysis (CPAA) 12(3), (2013) 1393-1406.
     
    66-(with Lin Li)Quasilinear two point boundary value problems investigated via critical point Methods, International Journal of Nonlinear Science 14 (2012) No.4, 405-409.
     
    65-(with G.A. Afrouzi and A. Hadjian)Non-trivial solutions for a two-point boundary value problem, Annales Polonici Mathematici 108.1 (2013) 75-84.
     
    64-(with G.A. Afrouzi and A. Hadjian)Infinitely many Solutions for a mixed doubly eigenvalue boundary value problem, Mediterranean Journal of Mathematics 10 (2013) 1317–1331.

    63- (with S. M. Khalkhali and A. Razani)Infinitely many solutions a fourth order boundary value problem, Electronic Journal of Differential Equations Vol. 2012 (2012), No. 164, pp. 1–14.
     
    62- Infinitely many solutions for systems of n fourth order partial differential equations coupled with Navier boundary conditions, Arab J Math Sci 20(1) (2014) 77-100.

    61- Existence of non-trivial solutions for systems of n fourth order partial differential equations, Mathematica Slovaca, to appear.  
     
    60-(with G.A. Afrouzi and A. Hadjian)Multiplicity results for a class of two-point boundary value systems investigated via variational methods, Bull. Math. Soc. Sci. Math. Roumanie Tome 55(103) No. 4, 2012, 343-352.
     
    59-On a class of systems of n Neumann two-point boundary value Sturm-Liouville type equations, Bulletin of the Iranian Mathematical Society (BIMS) Vol. 39 No. 5 (2013) 821-840.
     
    58- (with S. Khademloo)Existence of positive solutions for semilinear elliptic systems via variational methods, Nonlinear Analysis: Modelling and Control 2012, Vol. 17, No. 2, 194–209.
     
    57-Existence results on a two-point boundary value fourth-order Sturm-Liouville type problem, Electronic Journal of Differential Equations, Vol. 2012 (2012), No. 84, pp. 1–15.
     
    56-(with J. Henderson)Infinitely many solutions for a class of nonlocal elliptic systems of (p1,...,pn)-Kirchhoff type, Electronic Journal of Differential Equations, Vol. 2012 (2012), No. 69, pp. 1–15.
     
    55-(with L. Li)Multiplicity solutions for a doubly eigenvalue fourth-order equation, Journal of the Indian Math. Soc., Vol. 80, Nos. 1-2, (2013), 99-110.
     
    54- (with J. Henderson)Multiple solutions for a nonlocal perturbed elliptic problem of p-Kirchhoff type, Communications on Applied Nonlinear Analysis19(3) (2012) 25-39.
     
    53-Multiple solutions for a class of multipoint boundary value systems driven by a one-dimensional (p1, . . . , pn)-Laplacian operator, Abstract and Applied Analysis 2012(2012) , Article ID 389530, 15 pages,doi:10.1155/2012/389530.
     
    52-Infinitely many solutions for systems of n two-point boundary value Kirchhoff-type problems, Annales Polonici Mathematici107.2 (2013) 133-152.
     
    51-Three solutions for a class of (p1,...,pn)-biharmonic systems via variational methods, Thai J. Math . 10  (2012) Number 3, 497–515.
     
    50-( with J.R. Graef and L. Kong)A variational approach to a Kirchhoff-type problem involving a parameter, Results in Mathematics  63 (2013) 877-889.

    49-( with J.R. Graef and L. Kong)Infinitely many solutions for systems of multi-point boundary value problems using variational methods, Topological Methods in Nonlinear Analysis 42, No. 1 (2013) 105–118.
     
    48-(with G.A. Afrouzi, A. Hadjian and S. Shakeri)On a Class of Neumann Boundary Value Equations Driven by a (p1,…, pn)-Laplacian Operator, J. Part. Diff. Eq., 25, No. 1 (2012) 21-31.
     
    47-Non-trivial solutions for a class of two-point boundary value fourth-order Sturm-Liouville type equations, Electronic Journal of Differential Equations, Vol. 2012 (2012), No. 27, 1–9.
     
    46-Non-trivial solutions for a class of (p1,...,pn)-biharmonic systems with Navier boundary conditions, Annales Polonici Mathematici 105.1 (2012) 65-76.
     
    45- (with Y. Tian and C.-L. Tang)Existence of three solutions for a class of (p1,...,pn)- biharmonic systems with Navier boundary conditions, Annales Polonici Mathematici 104 (2012) 261-277.
     
    44-Three solutions for systems of n fourth order partial differential equations, Proceedings of the International Conference on Differential & Difference Equations and Applications, to appear.
     
    43-(with L. Li) Existence of three solutions for a doubly eigenvalue p-biharmonic equation, Annales Polonici Mathematici 104.1 (2012) 71-80.
     
    42- (with G.A. Afrouzi)Existence of Three Solutions to a Neumann Problem for Elliptic Equations Driven by a p-Laplacian Operator, Global Journal of Pure and Applied Mathematics 8, Number 1 (2012) 29–37.
     
    41 -(with G.A. Afrouzi)Some multiplicity results to the existence of three solutions for a two-point boundary value problem with Neumann condition, Advances in Theoretical and Applied Mathematics 7, Number 1 (2012) 1–12.
     
    40- (with G.A. Afrouzi)Three solutions for a quasilinear boundary value problem involving the one-dimensional p-Laplacian, International Journal of Nonlinear Science Vol.11(2011) No.3, 295-300.
     
    39- (with G.A. Afrouzi)Three solutions for a class of Dirichlet quasilinear elliptic systems, Global Journal of Pure and Applied Mathematics, 7, Number 4 (2011) 345–354.
     
    38-(with J.R. Graef and L. Kong)A critical points approach for the existence of multiple solutions of a Dirichlet quasilinear system, J. Math. Anal. Appl. 388 (2012) 1268–1278.
     
    37- (with G.A. Afrouzi)Three solutions for a quasilinear Neumann boundary value problem,World Journal of Modelling and Simulation7 (2011) No. 4,283-289.
     
    36-(with G.A. Afrouzi)Existence of multiple solutions for a Neumann boundary value problem driven by a p-Laplacian operator, Nonlinear Studies 18, No. 4, (2011) 559-563.
     
    35- (with G.A. Afrouzi and S. Shakeri)A remark on the linearized stability of positive solutions for the (p1,…, pn)-Laplacian systems involving indefinite weight functions, Journal of Advanced Research Differential Equations 3, Issue. 4 (2011) 40-44.
     
    34-(with G.A. Afrouzi and Donal O'Regan)Existence of three solutions for a Kirchhoff-type boundary value problem, Electronic Journal of Differential Equations Vol. 2011 (2011), No. 91, 1–11.
     
    33-(with G.A. Afrouzi)Multiplicity results for a Kirchhoff-type doubly eigenvalue boundary value problem, The Journal of Mathematics and Computer Science(TJMCS) 3 No.1 (2011) 11-20.
     
    32-(with J. Vahidi)Multiple solutions for a two-point boundary value problem depending on two parameters, The Journal of Mathematics and Computer Science(TJMCS) 3 No.2 (2011) 117 – 125.
     
    31-(with G. Bonanno and D. O'Regan)Multiple solutions for a class of Dirichlet quasilinear elliptic systems driven by a (p,q)-Laplacian operator, Dynamic Systems and Applications 20 (2011) 89-100.
     
    30-(with J.R. Graef and L. Kong)A critical points approach to multiplicity results for multi-point boundary value problems, Applicable Analysis 90, No. 12 ( 2011) 1909–1925.
     
    29-(with G.A. Afrouzi)Some multiplicity results to the existence of three solutions for a Dirichlet boundary value problem involving the p-Laplacian, Mathematical Modelling and Analysis 16 Number 3, ( 2011) 390–400.
     
    28- (with Y. Tian)Three solutions for a class of gradient Kirchhoff-type systems depending on two parameters, Dynamic Systems and Applications 20 (2011) 551-562.
     
    27-(with G.A. Afrouzi and Donal O'Regan)Existence of three solutions for a doubly eigenvalue fourth-order boundary value problem, The Taiwanese Journal of Mathematics 15, No. 1 (2011) 201-210.
     
    26-(with G.A. Afrouzi)Multiplicity theorems for a class of Dirichlet quasilinear elliptic systems involving the (p_1,…, p_n)-Laplacian, Nonlinear Analysis TMA 73 (2010) 2594-2602.
     
    25-(with G.A. Afrouzi and Donal O'Regan)Three solutions to a class of Neumann doubly eigenvalue elliptic systems driven by a (p_1,…, p_n)-Laplacian, Bull. Korean Math. Soc. 47 (2010) No. 6, 1235-1250.
     
    24-(with G.A. Afrouzi)Multiplicity results for a two-point boundary value double eigenvalue problem, Ricerche mat. 59 (2010) 39–47.
     
    23-(with Yu Tian)Multiplicity results for a class of gradient systems depending on two parameters, Nonlinear Analysis TMA 73 (2010) 547-554.
     
    22-(with D. Motreanu)Multiplicity Results for a Two Points Boundary Value Problem, PanAmerican Mathematical Journal 19 Number 3 (2009) 69–78.
     
    21-(with G.A. Afrouzi)Existence of three solutions for a class of Dirichlet quasilinear elliptic systems involving the (p1,…, pn)-Laplacian, Nonlinear Analysis TMA 70 (2009) 135-143.
     
    20-(with G.A. Afrouzi)Three solutions to a Dirichlet problem for elliptic equations involving the P-Laplacian in N-dimensional case, Dynamics of Continuous, Discrete & Impulsive Systems Series A: Mathematical Analysis 16 (2009) 327-335.
     
    19- (with G.A. Afrouzi)Three solutions for a quasilinear boundary value problem, Nonlinear Analysis TMA 69 (2008) 3330-3336.
     
    18-(with G.A. Afrouzi)Existence of three solutions for a boundary value problem in one-dimensional case, Int. J. Nonlinear Science 4/1 (2007) 76-80.
     
    17-(with G.A. Afrouzi and S.H.Rasouli)On the minimax inequality for a special class of functionals, World Journal of Modelling and Simulation 3 No. 3 (2007) 220-224.
     
    16-(with G.A. Afrouzi)On the minimax inequality and its application to existence of three solutions for elliptic equations with Dirichlet boundary condition, World Journal of Modelling and Simulation 3 No. 2 (2007) 83-89.
     
    15-(with G.A. Afrouzi)Multiplicity theorems for a Dirichlet boundary value problem in N-dimensional case, World Journal of Modelling and Simulation 3 No. 2 (2007) 100-105.
     
    14-(with G.A. Afrouzi)Three solutions for a Dirichlet boundary value problem involving the p-Laplacian, Nonlinear Analysis TMA 66 (2007) 2281-2288.
     
    13-(with G.A. Afrouzi)On a Boundary Value Problem Involving p-Laplacian, Advances in Theoretical and Applied Mathematics 1 No.1 (2006) 71-77.
     
    12-(with G.A. Afrouzi)On the existence of three solutions for a Dirichlet boundary value problem in N-dimensional case, Int. J. Nonlinear Science 2/2 (2006) 111-116.
     
    11-(with G.A. Afrouzi)Multiplicity results for the Dirichlet boundary value problem involving the p-Laplacian in N-dimensional case, World Journal of Modelling and Simulation 2 No. 4 (2006) 222-226.
     
    10-(with G.A. Afrouzi)Multiplicity results for the Dirichlet boundary value problem involving the p-Laplacian, Advances in Theoretical and Applied Mathematics 1 No.1 (2006) 63-69.
     
    9-(with G.A. Afrouzi)Multiplicity results for a boundary value problem with Dirichlet condition, Int. J. Contemp. Math. Sciences 1No. 14 (2006) 665- 672.
     
    8-(with G.A. Afrouzi)Existence of Three Solutions for a Boundary Value Problem in N-dimensional Case, International Journal of Applied Engineering Research 1, No.1 (2006) 111-117.
     
    7-(with G.A. Afrouzi)Minimax inequality for a special class of functional and its application for elliptic equation involving the p-Laplacian with Dirichlet boundary condition, International Journal of Applied Engineering Research  1/1 (2006) 99-109.
     
    6- (with G.A. Afrouzi)Existence of three solutions for the Dirichlet problem involving the P-Laplacian, Global Journal of Pure and Applied Mathematics 2/1 (2006) 73-78.
     
    5-(with G.A. Afrouzi)Multiplicity results for a 2-dimensional Dirichlet problem, Int. J. Nonlinear Science 1/2 (2006) 82-87.
     
    4-(with G.A. Afrouzi)Minimax inequality for a special class of functional and its application for elliptic equation involving the p-Laplacian with Dirichlet boundary condition, International Journal of Applied Engineering Research  1/1 (2006) 99-109.
     
    3-(with G.A. Afrouzi)Multiplicity results for a Dirichlet boundary value problem in the higher dimensional case, Advances in Dynamical Systems and Applications 1(2) (2006) 121-127.
     
    2- (with G.A. Afrouzi)Existence of three solutions for the Dirichlet problem involving the p-Laplacian and minimax inequality for relevant functionals, Iranian journal of science and technology, Transaction A-Science 30/A3 (2006) 369-374.
     
    1- (with G.A. Afrouzi)Minimax inequality for a special class of functionals and its application to existence of three solutions for a two point boundary value problem, Electronic Journal of Differential Equations 2006/121 (2006) 1-10.



  • Papers in Conferences and Seminars:



    1-Existence of three solutions for a Dirichlet problem involving the N-dimensional p-Laplacian, 36th Annual Iranian Mathematics Conference, September 10-13, 2005, University of Yazd, Yazd, Iran.
     
    2-Multiplicity results for a Dirichlet Problem involving the p-Laplacian in N-dimensional case, 38th Annual Iranian Mathematics Conference, 3-6 September, 2007, University of Zanjan, Zanjan, Iran.
     
    3- (Spring school)Topics in PDE’s and Applications 2008, May 5-9, CRM, Universitat Autònoma de Barcelona, Bellaterra, Spain.
     
    4-Existence of three solutions for a Dirichlet boundary value problem, Non-commutative Structures in Mathematics and Physics, July 22-26, 2008, Brussels, Belgium.
     
    5- Existence of three solutions for a Kirchhoff-type doubly eigenvalue boundary value problem with Dirichlet condition, 18th Seminar on Mathematical Analysis, 2009, Tarbiat Moallem University, Tehran, Iran.
     
    6-Multiple solutions for Neumann elliptic equations driven by a P-Laplacian operator, The 2nd international conference on nonlinear analysis and optimization 2009, University of Isfahan, Isfahan, Iran.
     
    7-Existence of three solutions to a class of Neumann doubly eigenvalue elliptic systems driven by a (p1, ..., pn)-Laplacian, Nonlinear problems for p-Laplace and Laplace, 10-14 August 2009, Linköping, Sweden.
     
    8-Three solutions for systems of n fourth order partial differential equations, International Conference on Di¤erential & Di¤erence Equations and Applications, Conference in honour of Professor Ravi P. Agarwal, 4-8 July 2011, Azores University, Ponta Delgada, Portugal.
     
    9- Multiple solutions for a perturbed mixed boundary value problem, Calculus of Variations and PDEs., 9-12 July 2012, Institute of Mathematics of polish Academy of Sciences, University ofWarsaw, Szczawnica, Poland.
     
    10-Multiplicity results for systems of n fourth order partial differential equations, 24 July 2012, DIMET – Faculty of engineering, University of Reggio Calabria, Reggio Calabria, Italy.
     
    11- Multiplicity results for Kirchhoff systems, 25 July 2012, Department of Science for Engineering and Architecture (Mathematics Section), Engineering Faculty, University of Messina, Messina, Italy.
     
    12- Critical points approaches to multiplicity results for multi-point boundary value systems, 26 July 2012, Department of Mathematics, University of Catania, Catania, Italy.

    13- Some existence results for a class of fourth-order Kirchhoff-type problems, Seminar on Differential Equations and Geometry, 1 April 2014, Dipartimento PAU, University of Reggio Calabria, Italy.

    14-Periodic Solutions for a Class of Second-order Differential Systems with Impulses via Variational Methods, Seminar on Differential Equations and Dynamical Systems, PDE and Elliptic Problems, 15 May 2014 IPM, Tehran,
    Iran.
                            Visiting Positions Held
 
1-University of Perpignan, France (20 November 2007- 22 August 2008) Ph.D sabbatical leave.
 
2- University of Messina, Italy (12-30 July 2012).

3-University of Reggio Calabria, Italy (6 March-7 April 2014)
 
                            Honors
1- Superior Mazandaran province researcher student, 2008.
 
2- Superior Department of Mathematics, Razi University, Kermanshah researcher, 2011.
 
3- Superior Faculty of Sciences, Razi University, Kermanshah researcher, 2012.

4- Superior Faculty of Sciences, Razi University, Kermanshah researcher, 2013.


Last Modified: 10 July, 2012

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