ABSTRACT
We establish a concentration-compactness principle for the Sobolev space 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 -biharmonic operator and critical growth.
Acknowledgments
The second author was supported by the University of Economics Ho Chi Minh City, Vietnam.
Disclosure statement
No potential conflict of interest was reported by the author(s).