Critical point approaches for doubly eigenvalue discrete boundary value problems driven by $\phi_c$-Laplacian operator

Ahmad Ghobadi; Shapour Heidarkhanii

Vol. 30 No. 1 (2025)

Regular Articles

Critical point approaches for doubly eigenvalue discrete boundary value problems driven by $\phi_c$-Laplacian operator

Published 2025-03-11

Ahmad Ghobadi
Shapour Heidarkhanii

Ahmad Ghobadi

Shapour Heidarkhanii
Razi University, Kermanshah

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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

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Supplementary File(s)

4603-14737-1-SP - final