#### Vol. 288, No. 1, 2017

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On cusp solutions to a prescribed mean curvature equation

### Alexandra K. Echart and Kirk E. Lancaster

Vol. 288 (2017), No. 1, 47–54
##### Abstract

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

##### Keywords
cusp solutions, prescribed mean curvature
##### Mathematical Subject Classification 2010
Primary: 53A10, 35J93