Some geometric features of the stable solutions of semilinear PDEs in the Heisenberg group are dealt with. A nonexistence result is given. The analysis is carried out by investigating the role of the right invariant vector fields: the monotonicity along these vector fields implies the stability of the solution and it naturally gives rise to geometrically interesting quantities. (C) 2009 Elsevier Ltd. All rights reserved.
Semilinear PDEs in the Heisenberg group: The role of the right invariant vector fields / Birindelli, Isabella; Fausto, Ferrari; Enrico, Valdinoci. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - 72:2(2010), pp. 987-997. [10.1016/j.na.2009.07.039]
Semilinear PDEs in the Heisenberg group: The role of the right invariant vector fields
BIRINDELLI, Isabella;
2010
Abstract
Some geometric features of the stable solutions of semilinear PDEs in the Heisenberg group are dealt with. A nonexistence result is given. The analysis is carried out by investigating the role of the right invariant vector fields: the monotonicity along these vector fields implies the stability of the solution and it naturally gives rise to geometrically interesting quantities. (C) 2009 Elsevier Ltd. All rights reserved.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
