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- W2964176344 abstract "We study the existence and uniqueness problem of compact minimal vertical graphs in $mathbb{H}^ntimesmathbb{R}$, $ngeq 2$, over bounded domains in the slice $mathbb{H}^ntimes{0}$, with non-connected boundary having a finite number of $C^0$ hypersufaces homeomorphic to the sphere $mathbb{S}^{n-1}$, with prescribed bounded continuous boundary data, under hypotheses relating those data and the geometry of the boundary. We show the nonexistence of compact minimal vertical graphs in $mathbb{H}^ntimesmathbb{R}$ having the boundary in two slices and the height greater than or equal to $pi/(2n-2)$." @default.
- W2964176344 created "2019-07-30" @default.
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- W2964176344 date "2014-01-01" @default.
- W2964176344 modified "2023-09-25" @default.
- W2964176344 title "Compact minimal vertical graphs with non-connected boundary in $mathbb{H}^{n}timesmathbb{R}$" @default.
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- W2964176344 doi "https://doi.org/10.1215/ijm/1441790379" @default.
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