Properties for Nonlinear Fractional SubLaplace Equations on the Heisenberg Group

Authors

  • Xinjing Wang Department of Applied Mathematics, Northwestern Polytechnical University, Xi’an 710129, China
  • Pengcheng Niu Department of Applied Mathematics, Northwestern Polytechnical University, Xi’an 710129, China

DOI:

https://doi.org/10.4208/jpde.v32.n1.5

Keywords:

Heisenberg group;fractional subLaplace equation;method of moving planes.

Abstract

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.

Downloads

Published

2019-04-12

Issue

Vol. 32 No. 1 (2019)

Section

Articles

Most read articles by the same author(s)