On Cusp Solutions to a Prescribed Mean Curvature Equation

Abstract

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

Accepted for publication in the Pacific Journal of Mathematics, 8 pages, 2 figures