Multiplicity results for a Kirchhoff-type doubly eigenvalue boundary value problem

This paper is concerned with the existence of at least three weak solutions to a class of Kirchho-type doubly eigenvalue boundary value problem. The technical approach is mainly based on a very recent three critical points theorem due to B. Ricceri [On a three critical points theorem revisited, Nonlinear Anal., 70 (2009) 3084-3089.]