Non-local elliptic systems on the heisenberg group

Nasser Al-Salti, Sebti Kerbal

Research output: Contribution to journal › Article

Abstract

We present Liouville type results for certain systems of nonlinear elliptic equations containing fractional powers of the Laplacian on the Heisenberg group. Our method of proof is based on the test function method and a recent inequality proved by Alsaedi, Ahmad, and Kirane, leading to the derivation of sufficient conditions in terms of space dimension and systems parameters.

Original languageEnglish
Article number09
JournalElectronic Journal of Differential Equations
Volume2016
Publication statusPublished - Jan 6 2016

Fingerprint

Heisenberg Group
Elliptic Systems
Fractional Powers
Nonlinear Elliptic Equations
Test function
Sufficient Conditions

Keywords

  • Convexity inequality
  • Fractional diffusion operator
  • Nonlinear elliptic systems

ASJC Scopus subject areas

  • Analysis

Cite this

Non-local elliptic systems on the heisenberg group. / Al-Salti, Nasser; Kerbal, Sebti.

In: Electronic Journal of Differential Equations, Vol. 2016, 09, 06.01.2016.

Research output: Contribution to journal › Article

Al-Salti, N & Kerbal, S 2016, 'Non-local elliptic systems on the heisenberg group', Electronic Journal of Differential Equations, vol. 2016, 09.
Al-Salti N, Kerbal S. Non-local elliptic systems on the heisenberg group. Electronic Journal of Differential Equations. 2016 Jan 6;2016. 09.
Al-Salti, Nasser ; Kerbal, Sebti. / Non-local elliptic systems on the heisenberg group. In: Electronic Journal of Differential Equations. 2016 ; Vol. 2016.
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