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arXiv · 1605.03532

The Dirichlet problem for the constant mean curvature equation in Sol_3

Patricia Klaser·Ana Menezes
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Abstract

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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Patricia Klaser, Ana Menezes. 2016-05-11. The Dirichlet problem for the constant mean curvature equation in Sol_3. https://doi.org/10.1215/00192082-7768727

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