On a $p(\cdot)$-biharmonic problem of Kirchhoff type involving critical growth
Analysis of PDEs
2020-06-04 v1
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.
Keywords
Cite
@article{arxiv.2006.02410,
title = {On a $p(\cdot)$-biharmonic problem of Kirchhoff type involving critical growth},
author = {Nguyen Thanh Chung and Ky Ho},
journal= {arXiv preprint arXiv:2006.02410},
year = {2020}
}