Abstract:

This paper deals with the multiplicity of solutions of p-Kirchhoff type equations. With the help of  the variational method, together with the asymptotic behavior of the nonlinearity at zero and infinity, the existence of the solution of p-Kirchhoff type equation is established when the Ambrosetti-Rabinowitz condition is not required.

Key words:  variational method, positive solution, negative solution, p-Kirchhoff type equation, biological population density