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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Nonexistence of some nonparametric surfaces of prescribed mean curvature


Author: Kirk E. Lancaster
Journal: Proc. Amer. Math. Soc. 96 (1986), 187-188
MSC: Primary 35J60; Secondary 49F10, 53A10
MathSciNet review: 813836
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Abstract: If $ \Omega \subset {{\mathbf{R}}^2}$ 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.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1986-0813836-2
PII: S 0002-9939(1986)0813836-2
Article copyright: © Copyright 1986 American Mathematical Society