Heisenberg群上Lane-Emden方程的Liouville定理
偏微分方程分析
2024-11-01 v3
摘要
本文在整个Heisenberg群上建立了Lane-Emden方程若干Liouville类型结果,包括稳定情形和紧外处稳定情形。具体地,我们证明当p小于Joseph Lundgren指数且不等于Sobolev指数时,0是稳定于紧外处的唯一解。
引用
@article{arxiv.2409.00646,
title = {Liouville Theorem for Lane-Emden Equation on the Heisenberg Group},
author = {Hua Chen and Xin Liao},
journal= {arXiv preprint arXiv:2409.00646},
year = {2024}
}
备注
There is an error in equation 2.14. For equation 2.14 to hold, the function $u$ should be cylindrical