Liouville-type theorems for the Lane-Emden equation in the half-space and cones
Analysis of PDEs
2022-09-07 v2
Abstract
We prove that 0 the only classical solution of the Lane-Emden equation in the half-space which is stable outside a compact set. We also consider weak solutions and the case of general cones.
Cite
@article{arxiv.2207.06049,
title = {Liouville-type theorems for the Lane-Emden equation in the half-space and cones},
author = {Louis Dupaigne and Alberto Farina and Troy Petitt},
journal= {arXiv preprint arXiv:2207.06049},
year = {2022}
}