A New proof of the CR Pohožaev Identity and related Topics

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DOI:

https://doi.org/10.4067/S0719-06462012000200003

Abstract

In this paper we give a new proof for “the CR Pohožaev Identity” and deduce non existence results of positive solutions for semi-linear boundary value problems on star-shaped domains

                                                                  

Where ∆H is the sublaplacian of the Heisenberg group â„n, g is a C1 function on a star-shaped and bounded domain Ω of â„n.

Keywords

Analysis on CR manifolds , CR structure , CR Pohožaev Identity , Critical growth , Yamabe like problems
  • Najoua Gamara D´epartement de Math´ematiques, Facult´e des Sciences de Tunis, El Manar II 2092, Tunis, Tunisia.
  • Ali Ben Ahmed D´epartement de Math´ematiques, Facult´e des Sciences de Tunis, El Manar II 2092, Tunis, Tunisia.
  • Aribi Amine D´epartement de Math´ematiques, Facult´e des Sciences de Tunis, El Manar II 2092, Tunis, Tunisia.
  • Pages: 43–59
  • Date Published: 2012-06-01
  • Vol. 14 No. 2 (2012): CUBO, A Mathematical Journal

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Published

2012-06-01

How to Cite

[1]
N. Gamara, A. Ben Ahmed, and A. Amine, “A New proof of the CR Pohožaev Identity and related Topics”, CUBO, vol. 14, no. 2, pp. 43–59, Jun. 2012.

Issue

Vol. 14 No. 2 (2012): CUBO, A Mathematical Journal

Section

Articles