Vanishing Estimates for Liouville equation with quantized singularities
Analysis of PDEs
2022-07-19 v3
Abstract
In this article we continue with the research initiated in our previous work on singular Liouville equations with quantized singularity. The main goal of this article is to prove that as long as the bubbling solutions violate the spherical Harnack inequality near a singular source, the first derivatives of coefficient functions must tend to zero.
Keywords
Cite
@article{arxiv.2104.04988,
title = {Vanishing Estimates for Liouville equation with quantized singularities},
author = {Juncheng Wei and Lei Zhang},
journal= {arXiv preprint arXiv:2104.04988},
year = {2022}
}
Comments
24 pages. arXiv admin note: substantial text overlap with arXiv:2202.10825