On solutions of the singular minimal surface equation

Clicks: 278
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 Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Ulrich Dierkes
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Journal annali di matematica pura ed applicata (1923 -)
Year 2018
DOI
doi:10.1007/s10231-018-0779-z
URL
https://link.springer.com/article/10.1007/s10231-018-0779-z
Keywords
mathematics general

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