Nonexistence Results for Semilinear Equations inCarnot Groups

Analysis and Geometry in Metric Spaces

卷:1

Ferrari Fausto¹  Pinamonti Andrea² 

[1] Dipartimento di Matematica, Università di Bologna,Piazza di Porta S.Donato 5, 40126, Bologna, Italy;

[2] Dipartimento di Matematica, Università di Padova,Via Trieste 63, 35121, Bologna, Italy;

关键词: semilinear pdes;    carnot groups;    nonexistence results;    35r03;    35j61;    35b06;   

DOI  :  10.2478/agms-2013-0001

来源: DOAJ

【 摘 要 】

In this paper, following [3], we provide some nonexistence resultsfor semilinear equations in the the class of Carnot groupsof type ★.This class, see [20], contains, in particular, all groupsof step 2; like the Heisenberg group, and also Carnot groupsof arbitrarly large step. Moreover, we prove some nonexistenceresults for semilinear equations in the Engel group,which is the simplest Carnot group that is not of type ★.

【 授权许可】

Unknown