On Cusp Solutions to a Prescribed Mean Curvature Equation

The nonexistence of “cusp solutions” of prescribed mean curvature boundary value problems in $\mathrm{\Omega }\times \mathbf{R}$ when $\mathrm{\Omega }$ is a domain in ${\bf R}^{2}$ is proven in certain cases and an application to radial limits at a corner is mentioned.