Hui YangTsinghua UniversityWenming ZouTsinghua University
Analysis of PDEsmathscidoc:1901.03003
In this paper, we investigate the qualitative properties of positive solutions for
a two-coupled elliptic system in the punctured space. We establish a monotonicity
formula that completely characterizes the singularity of positive solutions.
We prove a sharp global estimate for both components of positive
solutions. We also prove the nonexistence of positive semi-singular solutions,
which means that one component is bounded near the singularity and the other
component is unbounded near the singularity.
@inproceedings{huiqualitative,
title={Qualitative analysis for an elliptic system in the punctured space},
author={Hui Yang, and Wenming Zou},
url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20190109084549359150186},
}
Hui Yang, and Wenming Zou. Qualitative analysis for an elliptic system in the punctured space. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20190109084549359150186.