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Open Access Published by De Gruyter Open Access March 1, 2013

Nonexistence Results for Semilinear Equations in Carnot Groups

  • Fausto Ferrari EMAIL logo and Andrea Pinamonti

Abstract

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 ★.

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Received: 2012-10-30
Accepted: 2013-02-18
Published Online: 2013-03-01

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