TY - JOUR
T1 - Properties for Nonlinear Fractional SubLaplace Equations on the Heisenberg Group
AU - Wang , Xinjing
AU - Niu , Pengcheng
JO - Journal of Partial Differential Equations
VL - 1
SP - 66
EP - 76
PY - 2019
DA - 2019/04
SN - 32
DO - http://doi.org/10.4208/jpde.v32.n1.5
UR - https://global-sci.org/intro/article_detail/jpde/13123.html
KW - Heisenberg group
KW - fractional subLaplace equation
KW - method of moving planes.
AB - <p>The aim of the paper is to study properties of solutions to the nonlinear
fractional subLaplace equations on the Heisenberg group. Based on the method of
moving planes to the Heisenberg group, we prove the Liouville property of solutions
on a half space and the symmetry and monotonicity of the solutions on the whole
group respectively.</p>