On subelliptic equations on stratified Lie groups driven by singular nonlinearity and weak L1 data

The article is about an elliptic problem defined on a 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 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" overflow="scroll"> <mml:msup> <mml:mi>L</mml:mi> <mml:mn>1</mml:mn> </mml:msup> </mml:math> datum. The existence of infinitely many solutions is proved for suitable values of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" overflow="scroll"> <mml:mi>λ</mml:mi> <mml:mo>,</mml:mo> <mml:mi>p</mml:mi> <mml:mo>,</mml:mo> <mml:mi>q</mml:mi> </mml:math> by using the Symmetric Mountain Pass Theorem.