Study of weak solutions for a p(x)-Kirchhoff type variation-inequality problems arising from financial problems 

In this paper, we study variation-inequality initial-boundary value problems with variable parameter Kirchhoff operators. We constructed a map suitable for the Leray-Schauder principle in which the existence of solution is proved. The uniqueness and stability of the solution are also analyzed under a smallness condition on the parameter of Kirchhoff operators. Mathematics Subject Classification 2010: 35K99, 97M30.