A Liouville theorem for subcritical Lane-Emden system
Analysis of PDEs
2016-02-25 v3
Abstract
In this paper, we present a necessary and sufficient condition to the Lane-Emden conjecture. This condition is an energy type of integral estimate on solutions to subcritical Lane-Emden system. To approach the long standing and interesting conjecture, we believe that one plausible path is to refocus on establishing this energy type estimate.
Keywords
Cite
@article{arxiv.1412.7275,
title = {A Liouville theorem for subcritical Lane-Emden system},
author = {Ze Cheng and Genggeng Huang and Congming Li},
journal= {arXiv preprint arXiv:1412.7275},
year = {2016}
}