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The Dirichlet problem for the constant mean curvature equation in Sol_3

Published 11 May 2016 in math.DG | (1605.03532v3)

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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