Nonexistence Results for Semilinear Equations in Carnot Groups-Reference-Cited by-同舟云学术

Nonexistence Results for Semilinear Equations in Carnot Groups

Published:2013-03-01 Issue: Volume:1 Page:130-146
ISSN:2299-3274
Container-title:Analysis and Geometry in Metric Spaces
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Author:

Ferrari Fausto,Pinamonti Andrea

Abstract

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 ★.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Geometry and Topology,Analysis

Link

https://www.degruyter.com/view/j/agms.2012.1.issue/agms-2013-0001/agms-2013-0001.pdf

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