Asymptotic behavior of positive solutions of some nonlinear elliptic equations on cylinders
Analysis of PDEs
2020-10-13 v1
Abstract
We establish quantitative asymptotic behavior of positive solutions of a family of nonlinear elliptic equations on the half cylinder near the end. This unifies the study of isolated singularities of some semilinear elliptic equations, such as the Yamabe equation, Hardy-H\'enon equation etc.
Keywords
Cite
@article{arxiv.2010.04932,
title = {Asymptotic behavior of positive solutions of some nonlinear elliptic equations on cylinders},
author = {Shan Chen and Zixiao Liu},
journal= {arXiv preprint arXiv:2010.04932},
year = {2020}
}
Comments
29 pages, 2 figures