MMN-2869
Solutions of homogeneous fractional p-Kirchhoff equations in R^N
Vu Ho; Nhat Vy Huynh; Phuong Le;Abstract
In this note, we give a simple transformation so that solutions of the fractional $p$-Kirchhoff equation in $\mathbb{R}^N$ 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 H\'enon-Hardy potentials. Similar results for Kirchhoff type systems are also discussed.
Vol. 20 (2019), No. 2, pp. 957-968
DOI: 10.18514/MMN.2019.2869