43 citations · 285 across the 75 of their papers we have counts for
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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…
The Blow-up Analysis on Affine Toda system: Local mass and Affine Weyl group
Leilei Cui, Jun-cheng Wei, Wen Yang +1
It has been established that the local mass of blow-up solutions to Toda systems associated with the simple Lie algebras and $\mathbf{G}_…
Estimates of bubbling solutions of Toda systems at critical parameters-Part 2
Juncheng Wei, Lina Wu, Lei Zhang
In this article we study bubbling solutions of regular Toda systems defined on a Riemann surface. There are two major difficulties corresponding to the profile of bubbling…
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…
Asymptotic behavior of solutions to the Yamabe equation with an asymptotically flat metric
Zhengchao Han, Jingang Xiong, Lei Zhang
We prove that any positive solution of the Yamabe equation on an asymptotically flat -dimensional manifold of flatness order at least and must converge…
Vanishing Estimates for Liouville equation with quantized singularities
Juncheng Wei, Lei Zhang
In this article we continue with the research initiated in our previous work on singular Liouville equations with quantized singularity. The main goal of this article is to prove t…