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math.AP2024
Structure of bubbling solutions of Liouville systems with negative singular sources
Yi Gu, Lei Zhang
Liouville systems on Riemann surfaces are instrumental in modeling species growth and particle dynamics in biology and physics. Previously, we established a priori estimates for pa…
math.AP2024
On Non-simple blowup solutions of Liouville equation
Teresa D'Aprile, Juncheng Wei, Lei Zhang
For Liouville equation with quantized singular sources, the non-simple blowup phenomenon has been a major difficulty for years. It was conjectured by the first two authors that the…