The Jenkins-Serrin problem for constant mean curvature graphs in the Heisenberg space $\mathbf{Ni}{\mathbf{l}}_3(\tau )$

Abstract

In this paper we find functions over bounded domains in the 2-dimensional Euclidean space, whose graphs (in the Heisenberg space) has constant mean curvature different from zero and taking on (possibly) infinite boundary values over the boundary of the domain.