@article{Wang_Zhang_2022, title={Existence and regularity of positive solutions of a degenerate fourth order elliptic problem}, volume={59}, url={https://apcz.umk.pl/TMNA/article/view/38702}, DOI={10.12775/TMNA.2021.019}, abstractNote={In this paper, we consider existence and regularity of positive solutions of a degenerate fourth order elliptic problem. Firstly, a new Caffarelli-Kohn-Nirenberg type inequality for the fourth order case is established. Then, by the use of the corresponding embedding, we obtain the existence of positive solutions of a degenerate fourth order elliptic problem. Finally, the regularity of the positive solutions is also studied.}, number={2B}, journal={Topological Methods in Nonlinear Analysis}, author={Wang, Xiaohuan and Zhang, Jihui}, year={2022}, month={Jun.}, pages={737–756} }