Multiple solutions of a p-Kirchhoff equation with singular and critical nonlinearities

Abstract

In this article, we explore the existence of multiple solutions for a p-Kirchhoff equation with the nonlinearity containing both singular and critical terms. By means of the concentration compactness principle and Ekeland's variational principle, we obtain two positive weak solutions.

Keywords

• Weak solution
• p-Kirchhoff equation
• p-Laplacian
• quasilinear elliptic equation
• variational principle
• concentration compactness principle