A Liouville theorem for the Lane-Emden system in the half-space
Analysis of PDEs
2025-06-06 v2
Abstract
We prove that the Dirichlet problem for the Lane-Emden system in a half-space has no positive classical solution that is bounded on finite strips. Such a nonexistence result was previously available only for bounded solutions or under a restriction on the powers in the nonlinearities.
Cite
@article{arxiv.2408.17007,
title = {A Liouville theorem for the Lane-Emden system in the half-space},
author = {Yimei Li and Philippe Souplet},
journal= {arXiv preprint arXiv:2408.17007},
year = {2025}
}
Comments
14 pages, minor typos corrected in v2