Three solutions for a non-smooth hemivariational p(x)-Kirchhoff-type problem

Z. Hassanzadeh Troujeni, M. Alimohammady, M. Motameni

This paper investigates multiplicity results for a nonlinear differential inclusion p(x)-Kirchhoff problem. Employing the variational method and the three critical point theorem for locally Lipschitz functionals, we establish the existence of three critical points for the corresponding energy functional of Motreanu-Panagiotopoulos type, which serve solutions to our problem. 

Advanced Studies: Euro-Tbilisi Mathematical Journal, Vol. 18(2) (2025), pp. 283-294