Solutions of homogeneous fractional p-Kirchhoff equations in R^N

In this note, we give a simple transformation so that solutions of the fractional p-Kirchhoff equation in  are easily obtained from known solutions of the corresponding fractional p-Laplace equation. As an application, we classify all positive solutions of some (fractional) p-Kirchhoff equations with sub-critical or critical nonlinearities and Hénon-Hardy potentials. Similar results for Kirchhoff type systems are also discussed.