Solutions of homogeneous fractional p-Kirchhoff equations in R^N
Solutions of homogeneous fractional p-Kirchhoff equations in R^N
Source title:
Miskolc Mathematical Notes, 20(2): 957-968,
2019
(ISI)
Academic year of acceptance:
2019-2020
Abstract:
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.