Abstract
We study the existence of minimal graphs in with prescribed boundary data, possibly infinite. We give necessary and sufficient conditions on the “lengths” of the sides of the inscribed polygons in an unbounded domain in ℍ2, that yield solutions to the minimal surface equation with prescribed boundary data.
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Melo, S. Minimal graphs in over unbounded domains. Bull Braz Math Soc, New Series 45, 91–116 (2014). https://doi.org/10.1007/s00574-014-0042-1
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DOI: https://doi.org/10.1007/s00574-014-0042-1