I am an Assistant Professor in Applied Mathematics. I completed my B.Sc., M.Sc., and Ph.D. degrees in Mathematics. I did my post-doc in the USA.
Research interests
Differential equations
Nonlinear analysis
Variational approach and optimization
Monotone operator theory
Topological methods
Stochastic processes and their applications: Optimal control problems in finance governed by stochastic differential equations (and systems)
Multiple solutions for a class of p(x)-Kirchhoff-type equations (with S.Heidarkhani and A.Ghobadi), Applied Mathematics E-notes, 22 (2022), 160-168.
Critical points approaches to a nonlocal elliptic problem driven by 𝑝(𝑥)-biharmonic operator (with S.Heidarkhani and S.Moradi) Georgian Mathematical Journal, 29 (1), (2021), 55-69.
On a nonlocal problem with indefinite weights in Orlicz-Sobolev space (with Nguyen Thanh Chung), Commun. Korean Math. Soc. 35 (2) (2020), 517-532.
On a nonlocal problem involving a nonstandard nonhomogeneous differential operator (with B.Suer), Journal of Elliptic and Parabolic Equations, 5 (1) (2019), 47–67.
Multivalued elliptic operators with nonstandard growth (with A.Pankov), Advances in Nonlinear Analysis, V.7, No. 1 (2018), 35-48.
Existence results to a nonlinear p(k)-Laplacian difference equation (with M.Khaleghi Moghadam), Journal of Difference Equations and Applications, 23 (10) (2017), 1652–1669.
Existence results for anisotropic discrete boundary value problems, EJDE, 148 (2016), 1-11.
Nontrivial solutions of discrete nonlinear equations with variable exponent (with A.Pankov), J. Math. Anal. Appl. 431 (2015), 22–33.
Existence of solutions for fourth order elliptic equations of Kirchhoff type (with F. Wang and Y. An), Journal of Mathematical Analysis and Applications, 409 (1) (2014), 140–146.
Existence and multiplicity of solutions for Dirichlet problems involving the p(x)-Laplace operator, Electronic Journal of Differential Equations, 14 (2013), 1-99.
L^(p(x)) (Ω)-estimates of vector fields and some applications to magnetostatics problems (with B.Cekic, A.V.Kalinin and R.Mashiyev J. Math. Anal. Appl. 389 (2) (2012), 838-851.
Existence and multiplicity of weak solutions for nonuniformly elliptic equations with nonstandard growth condition (with R.Mashiyev, B.Cekic and Z.Yucedag), Complex Variables and Elliptic Equations, 57 (5) (2012), 579-595.
Existence and multiplicity of the solutions of the p(x)-Kirchhoff type equation via genus theory (with B.Cekic and R.Mashiyev), Mathematical Methods in the Applied Sciences, 34 (14) (2011), 1751-1759.
The Nehari manifold approach for Dirichlet problem involving the p(x)-Laplacian equation (with R.Mashiyev, S.Ogras and Z.Yucedag), Journal of the Korean Math. Society, 47 (4) (2010), 845-860.
Existence of solutions for a class of elliptic systems in R(N) involving the (p(x), q(x))-Laplacian (with S.Ogras, R.Mashiyev and Z.Yucedag), Journal of Inequalities and Applicaiıons, No.612938, (2008).