Multiplicity results for an impulsive boundary value problem of p(t)-Kirchhoff type via critical point theory

Abstract

In this paper we obtain existence results of \(k\) distinct pairs nontrivial solutions for an impulsive boundary value problem of \(p(t)\)-Kirchhoff type under certain conditions on the parameter \(\lambda\).

Keywords

• genus theory
• nonlocal problems
• impulsive conditions
• Kirchhoff equation
• \(p(t)\)-Laplacian
• variational methods
• critical point theory