Second Order Elliptic Equation of Kirchhoff Type with Singularity

The study of elliptic partial differential equations is one of the subjects of great importance in variational analysis developed in recent years in numerous works. The aim of this work is based essentially on the variational analysis of some nonlinear elliptic partial differential equations of Kirchhoff type with singularity. This causes some mathematical difficulties which make the study of this problem interesting. These kind of problems have physical motivations.