On cusp solutions to a prescribed mean curvature equation

Alexandra K. Echart and Kirk E. Lancaster

Vol. 288 (2017), No. 1, 47–54

DOI: 10.2140/pjm.2017.288.47

Abstract

The nonexistence of “cusp solutions” of prescribed mean curvature boundary value problems in $\Omega \times ℝ$ 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

Milestones

Received: 11 July 2016

Revised: 28 September 2016

Accepted: 3 October 2016

Published: 8 April 2017