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.
2010
entire solutions; heisenberg group; semilinear pdes; stability
01 Pubblicazione su rivista::01a Articolo in rivista
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]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/70043
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