Article ID Journal Published Year Pages File Type
842103 Nonlinear Analysis: Theory, Methods & Applications 2010 11 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
Authors
, , ,