AbstractIn this paper, following [3], we provide some nonexistence results for semilinear equations in the the class of Carnot groups of type *. This class, see [20], contains, in particular, all groups of step 2, like the Heisenberg group, and also Carnot groups of arbitrarly large step. Moreover, we prove some nonexistence results for semilinear equations in the Engel group, which is the simplest Carnot group that is not of type *.
Nonexistence Results for Semilinear Equations in Carnot Groups / Fausto Ferrari; Andrea Pinamonti. - In: ANALYSIS AND GEOMETRY IN METRIC SPACES. - ISSN 2299-3274. - ELETTRONICO. - 1:(2013), pp. 130-146. [10.2478/agms-2013-0001]
Nonexistence Results for Semilinear Equations in Carnot Groups
FERRARI, FAUSTO;
2013
Abstract
AbstractIn this paper, following [3], we provide some nonexistence results for semilinear equations in the the class of Carnot groups of type *. This class, see [20], contains, in particular, all groups of step 2, like the Heisenberg group, and also Carnot groups of arbitrarly large step. Moreover, we prove some nonexistence results for semilinear equations in the Engel group, which is the simplest Carnot group that is not of type *.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
