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 *.
Fausto Ferrari, Andrea Pinamonti (2013). Nonexistence Results for Semilinear Equations in Carnot Groups. ANALYSIS AND GEOMETRY IN METRIC SPACES, 1, 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 *.File in questo prodotto:
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