Nonexistence Results for Semilinear Equations in Carnot Groups

• Autorzy: Fausto Ferrari , Andrea Pinamonti
• Języki publikacji: EN

Abstrakty

EN

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 ★.

Słowa kluczowe

EN

Semilinear PDEs; Carnot groups; nonexistence results

Kategorie tematyczne

• 35J61: Semilinear elliptic equations
• 35R03: Partial differential equations on Heisenberg groups, Lie groups, Carnot groups, etc.
• 35B06: Symmetries, invariants, etc.

• Wydawca: De Gruyter Open
• Czasopismo: Analysis and Geometry in Metric Spaces
• Rocznik: 2013
• Tom: 1
• Strony: 130-146

Daty

otrzymano

2012-10-30

zaakceptowano

2013-02-18

online

2013-03-01

Twórcy

autor

Fausto Ferrari

• Dipartimento di Matematica, Università di Bologna,
  Piazza di Porta S.Donato 5, 40126, Bologna, Italy

autor

Andrea Pinamonti

• Dipartimento di Matematica, Università di Padova,
  Via Trieste 63, 35121, Bologna, Italy

Bibliografia

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Identyfikatory

DOI

10.2478/agms-2013-0001