3 papers
math.AP2026
Second order classification for singular Liouville equations with a coefficient function
Teresa D'Aprile, Juncheng Wei, Lei Zhang
In this article we are concerned with the existence of blow-up solutions to the following boundary value problem $$-Îv= λV(x) |x|^2e^v\;\mbox{in}\quad B_1,\quad v=0 \;\mbox{ on }…
math.AP2024
High Order Vanishing Theorems for Nonsimple Blowup Solutions of Singular Liouville Equation
Teresa D'Aprile, Juncheng Wei, Lei Zhang
For a singular Liouville equation, it is plausible that a non-simple blowup phenomenon occurs around a quantized singular pole. The presence of complex blowup profiles of bubbling…
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…