Nonexistence of some nonparametric surfaces of prescribed mean curvature

Kirk E. Lancaster
1986 Proceedings of the American Mathematical Society  
If Q c R2 has a reentrant corner, the Dirichlet problem for the equation of prescribed mean curvature H with zero boundary value has no solution when H has constant nonzero sign.
doi:10.1090/s0002-9939-1986-0813836-2 fatcat:3tuzp5i3xrgddhvrrma6s7chqi