Abstract.
We state some growth conditions on non negative superharmonic functions of the Heisenberg group in intrinsic cones and prove some non existence results for non negative \( \Delta_H \) polyharmonic functions and \( L^1\Delta_H \) superharmonic functions.
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Birindelli, I. Superharmonic functions in the Heisenberg group: estimates and Liouville theorems. Nodea, Nonlinear differ. equ. appl. 10, 171–185 (2003). https://doi.org/10.1007/s00030-003-1003-3
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DOI: https://doi.org/10.1007/s00030-003-1003-3