Multiple Solutions for a Parameter‐Dependent Discrete p‐Kirchhoff‐Type Neumann Boundary Value Problem

ABSTRACT Based on variational techniques coupled with the critical point theory, we establish multiple results on nontrivial solutions for a discrete Neumann boundary value problem of ‐Kirchhoff type involving a real parameter . To be specific, we provide accurate estimates of to guarantee that the considered problem has at least one, two, three, or infinitely many nontrivial solutions. Further, three illustrative examples, to demonstrate the applications of our obtained results, are exhibited. Our results enhance and generalize some existing ones.