Geodesic
Nonexistence Results for Semilinear Equations in Carnot Groups
Analysis and Geometry in Metric Spaces, Tome 1 (2013) no. 1, pp. 130-146 Cet article a éte moissonné depuis la source The Polish Digital Mathematics Library

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In 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 ★.
Mots-clés : Semilinear PDEs, Carnot groups, nonexistence results 
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     author = {Ferrari, Fausto and Pinamonti, Andrea},
     title = {Nonexistence {Results} for {Semilinear} {Equations} in {Carnot} {Groups}},
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Ferrari, Fausto; Pinamonti, Andrea. Nonexistence Results for Semilinear Equations in Carnot Groups. Analysis and Geometry in Metric Spaces, Tome 1 (2013) no. 1, pp. 130-146. http://geodesic.mathdoc.fr/item/AGMS_2013_1_1_a6/