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Nonexistence of some nonparametric surfaces of prescribed mean curvature
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