Multiple solutions for partial discrete Dirichlet problems depending on a real parameter

Abstract

In this paper we establish the existence of multiple solutions for a partial discrete Dirichlet problem depending on a real parameter. More precisely, under appropriate assumptions on the nonlinearities, we determine exact collections of parameters such that the treated problems admit at least three solutions.

Keywords::

• discrete nonlinear boundary value problems
• algebraic systems
• multiple solutions
• difference equations
• critical points theory

MSC (2010) Classification::

• 39A10
• 34B15
• 35B38

Notes

^1. Email: [email protected]

Additional information

Funding

Disclosure statementNo potential conflict of interest was reported by the authors.