Radial Limits of Nonparametric PMC Surfaces with Intermediate Boundary Curvature

We investigate the boundary behavior of the variational solution $f$ of a Dirichlet problem for a prescribed mean curvature equation in a domain $\mathrm{\Omega }\subset {\mathbf{R}}^2$ near a point $\mathcal{O}\in \mathrm{\partial }\mathrm{\Omega }$ under different assumptions about the curvature of $\mathrm{\partial }\mathrm{\Omega }$ on each side of $\mathcal{O}\mathrm{.}$ We prove that the radial limits at $\mathcal{O}$ of $f$ exist under different assumptions about the Dirichlet boundary data $\varphi ,$ depending on the curvature properties of $\mathrm{\partial }\mathrm{\Omega }$ near $\mathcal{O}\mathrm{.}$