For the Heisenberg group with the balanced metric, the paper proves a product splitting, transfers a known asymptotic Dirichlet theorem to build minimal graphs, and proves a new exterior Dirichlet problem with foliation.
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Asymptotic and exterior Dirichlet problems for the minimal surface equation in the Heisenberg group with a balanced metric
For the Heisenberg group with the balanced metric, the paper proves a product splitting, transfers a known asymptotic Dirichlet theorem to build minimal graphs, and proves a new exterior Dirichlet problem with foliation.