97 citations · 579 across the 69 of their papers we have counts for
9 papers · 1 filter
Sharp nonexistence results for curvature equations with four singular sources on rectangular tori
Zhijie Chen, Chang-Shou Lin
In this paper, we prove that there are no solutions for the curvature equation \[ Δu+e^{u}=8πnδ_{0}\text{ on }E_τ, \quad n\in\mathbb{N}, \] where is a flat rectangular torus…
The geometry of generalized Lamé equation, I
Zhijie Chen, Ting-Jung Kuo, Chang-Shou Lin
In this paper, we prove that the spectral curve of the generalized Lamé equation with the Treibich-Verdier potential \begin{equation*} y^{\prime \prime }(z)=\bigg[…
Degree counting for Toda system with simple singularity : one point blow up
Youngae Lee, Chang-shou Lin, Wen Yang +1
In this paper, we study the degree counting formula of the rank two Toda system with simple singular source when and The key ste…
Uniqueness for bubbling solutions with collapsing singularities
Youngae Lee, Chang-Shou Lin
The seminal work \cite{bm} by Brezis and Merle showed that the bubbling solutions of the mean field equation have the property of mass concentration. Recently, Lin and Tarantello i…
Critical points of the classical Eisenstein series of weight two
Zhijie Chen, Chang-Shou Lin
In this paper, we completely determine the critical points of the normalized Eisenstein series of weight . Although is not a modular form, our result shows tha…
Isomonodromy aspects of the tt* equations of Cecotti and Vafa III. Iwasawa factorization and asymptotics
Martin A. Guest, Alexander R. Its, Chang-Shou Lin
This paper, the third in a series, completes our description of all (radial) solutions on C* of the tt*-Toda equations, using a combination of methods from p.d.e., isomonodromic de…