Abstract
This paper deals with the existence of multiple solutions for the following Kirchhoff type equations involving p-biharmonic operator:
-M(integral(Omega)(vertical bar Delta(p)u vertical bar(2)+vertical bar u vertical bar(p))dx)(Delta(2)(p)u-vertical bar u vertical bar(p-2)u)=lambda f(x)vertical bar u vertical bar(q-2)u+g(x)vertical bar u vertical bar m(-2)u, x is an element of Omega,
where Omega is a bounded domain in R-N (N > 1), lambda>0,p,q,m > 1, M is a continuous function, and the weight functionsfandgare measurable. We obtain the existence results by combining the variational method with Nehari manifold and fibering maps.