Geodesic
Non-local elliptic systems on the Heisenberg group
Electronic journal of differential equations, Tome 2016 (2016)
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.
Classification : 35R03, 35J60, 35D02
Keywords: fractional diffusion operator, nonlinear elliptic systems, convexity inequality 
@article{EJDE_2016__2016__a2,
     author = {Al-Salti,  Nasser and Kerbal,  Sebti},
     title = {Non-local elliptic systems on the {Heisenberg} group},
     journal = {Electronic journal of differential equations},
     year = {2016},
     volume = {2016},
     zbl = {1329.35325},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2016__2016__a2/}
}
TY  - JOUR
AU  - Al-Salti,  Nasser
AU  - Kerbal,  Sebti
TI  - Non-local elliptic systems on the Heisenberg group
JO  - Electronic journal of differential equations
PY  - 2016
VL  - 2016
UR  - http://geodesic.mathdoc.fr/item/EJDE_2016__2016__a2/
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%A Al-Salti,  Nasser
%A Kerbal,  Sebti
%T Non-local elliptic systems on the Heisenberg group
%J Electronic journal of differential equations
%D 2016
%V 2016
%U http://geodesic.mathdoc.fr/item/EJDE_2016__2016__a2/
%G en
%F EJDE_2016__2016__a2
Al-Salti,  Nasser; Kerbal,  Sebti. Non-local elliptic systems on the Heisenberg group. Electronic journal of differential equations, Tome 2016 (2016). http://geodesic.mathdoc.fr/item/EJDE_2016__2016__a2/