# 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

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topFausto 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 -

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