Vanishing Estimates for Liouville equation with quantized singularities

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.

24 pages. arXiv admin note: substantial text overlap with arXiv:2202.10825

Cited by in corpus (1)

• Structure of bubbling solutions of Liouville systems with negative singular sources