On solutions of the singular minimal surface equation
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ID: 114667
2018
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Abstract
Results of Bernstein type are proven for supersolutions of the singular minimal surface equation when $$\alpha <0$$ α < 0 . In particular the non-existence of “entire” minimal graphs in hyperbolic space is shown. In addition we construct a foliation of $$\mathbb {R}^n\times \mathbb {R}^+$$ R n × R + consisting of minimizing surfaces, and solve a Dirichlet problem for the singular minimal surface equation.
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dierkes2018annalion
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| Authors | Ulrich Dierkes;Ulrich Dierkes; |
| Journal | annali di matematica pura ed applicata (1923 -) |
| Year | 2018 |
| DOI |
doi:10.1007/s10231-018-0779-z
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