Abstract
In this article, the degenerated horizontal (p, q)-Laplacian with weights
and the competing horizontal (p, q)-Laplacian with weights
including the Dirchlet boundary condition are studied. The existence and approximation results for these problems are studied where is a Carathéodory function, Ω is a bounded smooth domain in the Heisenberg group and stands for the horizontal p-Laplacian on The proofs are based on weighted Heisenberg Sobolev spaces, Nemytskij operators, Browder-Minty Theorem, and finite dimensional approximation.
Disclosure statement
The authors report there are no competing interests to declare.