Singular Partial Differential Equations in Complex Domains fills a gap in the literature on degenerate and singular partial differential equations and related problems. This monograph offers the first treatment of the subject in high-dimensional domains. It considers equations with the complex structure and having singularities. The author includes introductory material, the Dirichlet, Neumann, and other problems for first order systems, and the application to singular equations, degenerate high dimensional Beltrami system in Cn, and others.