Abstract:
The main purpose of this capstone project is to do some analysis related to (p,q)-sub-Laplacians on the Heisenberg group. In the first part of the
project, Green’s identities for (p,q)-sub-Laplacians are given on the Heisenberg
group and used further in proof of the uniqueness of a weak solution of a nonlinear
Dirichlet boundary value problem for the (p,q)-sub-Laplacian. Moreover, concepts
of CC and Kaplan balls are discussed to illustrate the smoothness of the considered
domain for the BVP.