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Minimal graphs in over unbounded domains

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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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Authors and Affiliations

  1. Departamento de Matemática — ICE Rua José Lourenço Kelmer, Universidade Federal de Juiz de Fora, s/n Campus Universitário — Bairro São Pedro, 36036-900, Juiz de Fora, MG, Brazil

    Sofia Melo

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  1. Sofia Melo
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Correspondence to Sofia Melo.

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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

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