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- MOHSEN KHALEGHI MOGHADAM, SHAPOUR HEIDARKHANI
- 2014

The existence of a non-trivial solution for a discrete non-linear Dirichlet problem involving p -Laplacian is investigated. The technical approach is based on a local minimum theorem for differentiable functionals due to Bonanno. Mathematics subject classification (2010): 39A10, 34B15.

- GHASEM A. AFROUZI, ARMIN HADJIAN, SHAPOUR HEIDARKHANI
- 2014

Under suitable assumptions on the potential of the nonlinearity, we study the existence and multiplicity of solutions for a Steklov problem involving the p(x)-Laplacian. Our approach is based on variational methods.

- Giuseppina D’Agùı, Shapour Heidarkhani, Giovanni Molica Bisci
- 2013

The existence of three distinct weak solutions for a perturbed mixed boundary value problem involving the one-dimensional p-Laplacian operator is established under suitable assumptions on the nonlinear term. Our approach is based on recent variational methods for smooth functionals defined on reflexive Banach spaces.

- SEYYED MOHSEN KHALKHALI, SHAPOUR HEIDARKHANI, ABDOLRAHMAN RAZANI
- 2012

In this article we consider the existence of infinitely many solutions to the fourth-order boundary-value problem u + αu′′ + β(x)u = λf(x, u) + h(u), x ∈]0, 1[ u(0) = u(1) = 0, u′′(0) = u′′(1) = 0 . Our approach is based on variational methods and critical point theory.

- Massimiliano Ferrara, Somayeh Khademloo, Shapour Heidarkhani
- Applied Mathematics and Computation
- 2014

Using variational methods and critical point theory, we establish multiplicity results of nontrivial and nonnegative solutions for a perturbed fourth-order Kirchhoff type elliptic problem. 2014 Elsevier Inc. All rights reserved.

We establish the existence of three distinct solutions for a perturbed p-Laplacian boundary value problem with impulsive effects. Our approach is based on variational methods.

- S. Heidarkhani, A. Hadjian
- 2013

Applying two three critical points theorems, we prove the existence of at least three anti-periodic solutions for a second-order impulsive differential inclusion with a perturbed nonlinearity and two parameters.

where pi > 1 and φpi(t) = |t|pi−2t for i = 1, . . . , n, λ is a positive parameter, m, n ≥ 1 are integers, aj , bj ∈ R for j = 1, . . . ,m, and 0 < x1 < x2 < x3 < . . . < xm < 1. Here, F : [0, 1] × R → R is a function such that the mapping (t1, t2, . . . , tn) → F (x, t1, t2, . . . , tn) is in C in R for all x ∈ [0, 1], Fti is continuous in [0, 1]× R for i… (More)

We show the existence of at least one weak solution for a threepoint boundary-value problem of Kirchhoff-type. Our technical approach is based on variational methods. In addition, an example to illustrate our results is given.

- Shapour Heidarkhani, Giuseppe Caristi, Massimiliano Ferrara
- Computers & Mathematics with Applications
- 2016