Nonexistence Results for Semilinear Equations in Carnot Groups

Fausto Ferrari; Andrea Pinamonti

Analysis and Geometry in Metric Spaces (2013)

  • Volume: 1, page 130-146
  • ISSN: 2299-3274

Abstract

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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 ★.

How to cite

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Fausto Ferrari, and Andrea Pinamonti. "Nonexistence Results for Semilinear Equations in Carnot Groups." Analysis and Geometry in Metric Spaces 1 (2013): 130-146. <http://eudml.org/doc/267347>.

@article{FaustoFerrari2013,
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 ★.},
author = {Fausto Ferrari, Andrea Pinamonti},
journal = {Analysis and Geometry in Metric Spaces},
keywords = {Semilinear PDEs; Carnot groups; nonexistence results; semilinear PDEs},
language = {eng},
pages = {130-146},
title = {Nonexistence Results for Semilinear Equations in Carnot Groups},
url = {http://eudml.org/doc/267347},
volume = {1},
year = {2013},
}

TY - JOUR
AU - Fausto Ferrari
AU - Andrea Pinamonti
TI - Nonexistence Results for Semilinear Equations in Carnot Groups
JO - Analysis and Geometry in Metric Spaces
PY - 2013
VL - 1
SP - 130
EP - 146
AB - 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 ★.
LA - eng
KW - Semilinear PDEs; Carnot groups; nonexistence results; semilinear PDEs
UR - http://eudml.org/doc/267347
ER -

References

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