Minimal graphs in
over unbounded domains |
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| Authors: | Sofia Melo |
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| Institution: | 1. Departamento de Matemática — ICE Rua José Louren?o Kelmer, Universidade Federal de Juiz de Fora, s/n Campus Universitário — Bairro S?o Pedro, 36036-900, Juiz de Fora, MG, Brazil
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| Abstract: | We study the existence of minimal graphs in ![src=]() 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 ?2, that yield solutions to the minimal surface equation with prescribed boundary data. |
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