The Neumann Problem for the Kohn-Laplacian on the Heisenberg Group H-n

摘要

The existence and uniqueness of the solution of the Neumann problem for the Kohn-Laplacian relative to the Koranyi ball on the Heisenberg group H-n are discussed. Explicit representation for a Green's type function (Neumann function) for the Koranyi ball in H-n for circular functions has been obtained. This function is then used on the above region in H-n to solve the inhomogeneous Neumann boundary value problem for certain circular data.