Original scientific paper

https://doi.org/10.64785/mc.30.1.3

Critical point approaches for doubly eigenvalue discrete boundary value problems driven by \( \phi _{c}\)-Laplacian operator

Ahmad Ghobadi ; Department of Mathematics, Faculty of Sciences, Razi University, Kermanshah, Iran *
Shapour Heidarkhani ; Department of Mathematics, Faculty of Sciences, Razi University, Kermanshah, Iran

* Corresponding author.

Abstract

Under appropriate algebraic conditions on the nonlinearity, using variational methods and critical point theory we discuss the existence of one, two and three solutions for nonlinear discrete Dirichlet boundary value problems driven by \( \phi _{c}\)- Laplacian operator involving two parameters \( \lambda \) and \(\mu\), without imposing the symmetry or oscillating behavior at infinity on the the nonlinearity, which has applications in the dynamic model of combustible gases, the capillarity problem in hydrodynamics, and flux-limited diffusion phenomenon. Some applications and examples illustrate the obtained results.

Keywords

Multiple solutions, \( \phi _{c}\)- Laplacian boundary value problem, critical point theory, variational methods

Hrčak ID:

329422

URI

https://hrcak.srce.hr/329422

Publication date:

11.3.2025.

Visits: 426 *