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math.AP2025
Non degeneracy of blow-up solutions of non-quantized singular Liouville-type equations and the convexity of the mean field entropy of the Onsager vortex model with singular sources
Daniele Bartolucci, Wen Yang, Lei Zhang
We establish the non-degeneracy of bubbling solutions for singular mean field equations when the blow-up points are either regular or involve non-quantized singular sources. This e…
math.AP2025
Asymptotic Analysis and Uniqueness of blowup solutions of non-quantized singular mean field equations
Daniele Bartolucci, Wen Yang, Lei Zhang
For singular mean field equations defined on a compact Riemann surface, we prove the uniqueness of bubbling solutions as far as blowup points are either regular points or non-quant…