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

摘要

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). (C) 2003 Elsevier Inc. All rights reserved. [References: 47]