Existence of positive radial solutions for a problem involving the weighted Heisenberg p(middot)-Laplacian operator

A variational principle is applied to examine a Muckenhoupt weighted p(center dot)-Laplacian equation on the Heisenberg groups. The existence of at least one positive radial solution to the problem under the Dirichlet boundary condition belongs to the first order Heisenberg-Sobolev spaces is proved.

Automated summary

In this study, a variational principle is used to examine a Muckenhoupt weighted p-Laplacian equation on the Heisenberg groups. The existence of at least one positive radial solution to the problem under the Dirichlet boundary condition in the first order Heisenberg-Sobolev spaces is proven.