Existence of three weak solutions for a perturbed anisotropic discrete Dirichlet problem

ABSTRACT

In this paper, we study the existence of at least three distinct solutions for a perturbed anisotropic discrete Dirichlet problem. Our approach is based on recent variational methods for smooth functionals defined on reflexive Banach spaces. Some examples are presented to demonstrate the application of our main results.

KEYWORDS:

• Discrete boundary value problem
• perturbed anisotropic problem
• three solutions
• variational methods
• Critical point theory

AMS SUBJECT CLASSIFICATIONS:

• 46E39
• 34B15
• 39A10
• 39A70
• 35B20

Notes

No potential conflict of interest was reported by the authors.