Nonlinear Liouville theorems for some critical problems on H-type groups

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Abstract

In this paper, we provide a non-existence result for a semilinear sub-elliptic Dirichlet problem with critical growth on the half-spaces of any group of Heisenberg-type. Our result improves a recent theorem in (Math. Ann. 315 (3) (2000) 453).

MSC

35H20
43A80
35B33
35J70

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Investigation supported by University of Bologna. Funds for selected research topics.