4 papers
Higher-order criteria and sharpness for blow-up at quantized singularities in Liouville equations
Teresa D'Aprile, Juncheng Wei, Lei Zhang
This work is devoted to the study of blow-up phenomena for solutions of \[-Δu=λV(x)|x|^{2N}e^v,\quad \mbox{in}\quad B_1,\quad v=0\quad \mbox{on}\quad \partial B_1. \] where d…
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 $$-Δv= λV(x) |x|^2e^v\;\mbox{in}\quad B_1,\quad v=0 \;\mbox{ on }\q…
High Order Vanishing Theorems for Nonsimple Blowup Solutions of Singular Liouville Equation
Teresa D'Aprile, Juncheng Wei, Lei Zhang
For a singular Liouville equation, it is plausible that a non-simple blowup phenomenon occurs around a quantized singular pole. The presence of complex blowup profiles of bubbling…
On the construction of non-simple blow-up solutions for the singular Liouville equation with a potential
Teresa D'Aprile, Juncheng Wei, Lei Zhang
We are concerned with the existence of blowing-up solutions to the following boundary value problem $$-Δu= λV(x) e^u-4πN δ_0\;\mbox{ in } B_1,\quad u=0 \;\mbox{ on }\partial B_1,$$…