We prove a version of the Jenkins–Serrin theorem for the existence of constant mean curvature graphs over bounded domains with infinite boundary data in . Moreover, we construct examples of admissible domains where the results may be applied.
"The Dirichlet problem for the constant mean curvature equation in ." Illinois J. Math. 63 (2) 259 - 297, August 2019. https://doi.org/10.1215/00192082-7768727