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arxiv: 1605.03532 · v3 · pith:ECCDVRET · submitted 2016-05-11 · math.DG

The Dirichlet problem for the constant mean curvature equation in Sol₃

Patricia Klaser , Ana Menezes This is my paper

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classification math.DG
keywords domainsadmissibleappliedboundaryboundedconstantconstructcurvature
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A version of the Jenkins-Serrin theorem for the existence of CMC graphs over bounded domains with infinite boundary data in Sol$_3$ is proved. Moreover, we construct examples of admissible domains where the results may be applied.

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