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math.AP2026
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…
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 $$-Δv= λV(x) |x|^2e^v\;\mbox{in}\quad B_1,\quad v=0 \;\mbox{ on }\q…