Nonexistence Results for Semilinear Equations in Carnot Groups
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...
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De Gruyter
2013-03-01
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| Series: | Analysis and Geometry in Metric Spaces |
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| Online Access: | https://doi.org/10.2478/agms-2013-0001 |
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doaj-3eecdbe8b7ac4022acefd7c04739d9ca2021-09-06T19:41:04ZengDe GruyterAnalysis and Geometry in Metric Spaces2299-32742013-03-011201313014610.2478/agms-2013-0001agms-2013-0001Nonexistence Results for Semilinear Equations in Carnot GroupsFerrari Fausto0Pinamonti Andrea1Dipartimento di Matematica, Università di Bologna, Piazza di Porta S.Donato 5, 40126, Bologna, ItalyDipartimento di Matematica, Università di Padova, Via Trieste 63, 35121, Bologna, ItalyIn 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 ★.https://doi.org/10.2478/agms-2013-0001semilinear pdescarnot groupsnonexistence results35r0335j6135b06 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Ferrari Fausto Pinamonti Andrea |
| spellingShingle |
Ferrari Fausto Pinamonti Andrea Nonexistence Results for Semilinear Equations in Carnot Groups Analysis and Geometry in Metric Spaces semilinear pdes carnot groups nonexistence results 35r03 35j61 35b06 |
| author_facet |
Ferrari Fausto Pinamonti Andrea |
| author_sort |
Ferrari Fausto |
| title |
Nonexistence Results for Semilinear Equations in
Carnot Groups |
| title_short |
Nonexistence Results for Semilinear Equations in
Carnot Groups |
| title_full |
Nonexistence Results for Semilinear Equations in
Carnot Groups |
| title_fullStr |
Nonexistence Results for Semilinear Equations in
Carnot Groups |
| title_full_unstemmed |
Nonexistence Results for Semilinear Equations in
Carnot Groups |
| title_sort |
nonexistence results for semilinear equations in
carnot groups |
| publisher |
De Gruyter |
| series |
Analysis and Geometry in Metric Spaces |
| issn |
2299-3274 |
| publishDate |
2013-03-01 |
| description |
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 ★. |
| topic |
semilinear pdes carnot groups nonexistence results 35r03 35j61 35b06 |
| url |
https://doi.org/10.2478/agms-2013-0001 |
| work_keys_str_mv |
AT ferrarifausto nonexistenceresultsforsemilinearequationsincarnotgroups AT pinamontiandrea nonexistenceresultsforsemilinearequationsincarnotgroups |
| _version_ |
1717767081081962496 |