TY - JOUR
T1 - Non-local elliptic systems on the heisenberg group
AU - Al-Salti, Nasser
AU - Kerbal, Sebti
N1 - Publisher Copyright:
© 2016 Texas State University.
PY - 2016/1/6
Y1 - 2016/1/6
N2 - 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.
AB - 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.
KW - Convexity inequality
KW - Fractional diffusion operator
KW - Nonlinear elliptic systems
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M3 - Article
AN - SCOPUS:84955247682
VL - 2016
JO - Electronic Journal of Differential Equations
JF - Electronic Journal of Differential Equations
SN - 1072-6691
M1 - 09
ER -