Work

Laplacian vanishing theorem for a quantized singular Liouville equation

Year: 2024

Type: article

Abstract: In this article we establish a vanishing theorem for a singular Liouville equation with a quantized singular source. If a blowup sequence tends to infinity near the quantized singular source and the blowup solutions violate the spherical Harnack inequality around the singular source (non-simple blow-ups), the Laplacian of the coefficient function must tend to zero. This seems to be the first second order estimates for a Liouville equation with a quantized source and non-simple blowups. This result as well as the key ideas of the proof will be useful for various applications.

Source: Journal of the European Mathematical Society

DOI: 10.4171/jems/1482

Authors: Juncheng Wei, Lei Zhang

Institutions: Chinese University of Hong Kong, University of Florida

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4396929757

FWCI: 7.809

Cites:

Cited by: 11

Related to: 10