Degenerated and Competing Horizontal (p, q)-Laplacians with Weights on the Heisenberg Group

In this article, the degenerated horizontal (p, q)-Laplacian with weights −ΔH,pa(u)−ΔH,qb(u)=f(ξ,u,DHu) and the competing horizontal (p, q)-Laplacian with weights −ΔH,pa(u)+ΔH,qb(u)=f(ξ,u,DHu) including the Dirchlet boundary condition are studied. The existence and approximation results for these problems are studied where 1