Nonexistence Results for Semilinear Equations in Carnot Groups

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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 ★.

Location: Deutsche Nationalbibliothek Frankfurt am Main

Extent: Online-Ressource

Language: Englisch

Bibliographic citation: Nonexistence Results for Semilinear Equations in Carnot Groups ; volume:1 ; number:2013 ; year:2013 ; pages:130-146
Analysis and geometry in metric spaces ; 1, Heft 2013 (2013), 130-146

Creator: Ferrari, Fausto
Pinamonti, Andrea

DOI: 10.2478/agms-2013-0001

URN: urn:nbn:de:101:1-2024041116274418215304

Rights: Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.

Last update: 14.08.2025, 10:57 AM CEST

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Ferrari, Fausto
Pinamonti, Andrea

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Nonexistence Results for Semilinear Equations in Carnot Groups

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Other Objects (12)

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