On subelliptic equations on stratified Lie groups driven by singular nonlinearity and weak $L^1$ data

Abstract

The article is about an elliptic problem defined on a {\it stratified Lie group}. Both sub- and superlinear cases are considered whose solutions are guaranteed to exist in light of the interplay between the nonlinearities and the weak $L^1$ datum. The existence of infinitely many solutions is proved for suitable values of $\lambda,p,q$ by using the Symmetric Mountain Pass Theorem.