On multiple solutions for an elliptic problem involving Leray-Lions operator, Hardy potential and indefinite weight with mixed boundary conditions

This paper concentrates on establishing the existence of multiple weak solutions for a specific type of elliptic equations that involve a Hardy potential and have mixed boundary conditions. The main goal of the study is to establish an existence result of at least three different weak solutions thanks to variational techniques, Hardy inequality, and a particular theorem called the Bonanno- Marano type three critical points theorem.