On a critical biharmonic system involving p-Laplacian and Hardy potential

In this paper, I establish a useful embedding inequality in D-2,D-2(R-n, R-2). Benefiting from the previous inequality, I also obtain a nontrivial weak solution to a critical biharmonic system involving p-Laplacian and Hardy potential via variational methods. (C) 2021 Elsevier Ltd. All rights reserved.

Automated summary

This paper establishes a significant embedding inequality in a specific function space and uses it to obtain a nontrivial weak solution to a critical biharmonic system through variational methods.