Multiple small solutions for Kirchhoff equation with local sublinear nonlinearities

In this paper we discuss the following Kirchhoff equation in RNRN−(a+b∫|∇u|2)Δu+V(x)u=f(x,u),−(a+b∫|∇u|2)Δu+V(x)u=f(x,u), where a,b>0a,b>0 are constants and N≥3N≥3. Without any growth condition for the nonlinear term f(x,u)f(x,u) on uu at infinity, we obtain a sequence of solutions converging to zero in some Sobolev spaces.