Green's Identities for (p, q)-Sub-Laplacians on the Heisenberg Group and Their Applications

摘要

In this paper, Green's first and second identities are extended to (p, q)-sub-Laplacians on the Heisenberg group with some of their applications. Particularly, we apply Green's identities to a nonlinear boundary value problem that involves the (p, q)-sub-Laplacian in order to show uniqueness of a positive weak solution.