On a p⋅-biharmonic problem of Kirchhoff type involving critical growth

Abstract

We establish a concentration-compactness principle for the Sobolev space (Formula presented.) that is a tool for overcoming the lack of compactness of the critical Sobolev imbedding. Using this result, we obtain several existence and multiplicity results for a class of Kirchhoff type problems involving (Formula presented.) -biharmonic operator and critical growth.