Existence results to a Leray–Lions type problem on the Heisenberg Lie groups

Abstract

Abstract Here, the existence and multiplicity of weak solutions to a generalized ( p ( ⋅ ) , q ( ⋅ ) ) $(p(\cdot ),q(\cdot ))$ -Laplace equation involving Leray–Lions type operators with Hardy potential are studied under Dirichlet boundary conditions on the Heisenberg groups.

Keywords

• Leray–Lions type operator
• Heisenberg group
• Singular term