Multiple solutions for q-Kirchhoff elliptic equations

In this paper, we establish the existence and multiplicity of nontrivial solutions for the q-Kirchhoff type problems, f(x,u) does not satisfy Ambrosetti-Rabinowitz type growth conditions. By using Three Critical Point Linking Theorem, some new existence and multiplicity results of nontrivial solutions are obtained, which generalizes and improves the results in [7].