Opuscula Math. 36, no. 5 (), 631-649
http://dx.doi.org/10.7494/OpMath.2016.36.5.631
Opuscula Mathematica

# 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.
Mathematics Subject Classification: 35A15, 35B38, 34A37.