97 citations · 579 across the 69 of their papers we have counts for
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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…
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…
Existence of mixed type solutions in the Chern-Simons gauge theory of rank two in
Kwangseok Choe, Namkwon Kim, Youngae Lee +1
We consider the Chern-Simons gauge theory of rank such as , , and Chern-Simons model in . There may exist three types of solutions in these th…
Sharp estimates for solutions of mean field equation with collapsing singularity
Youngae Lee, Chang-shou Lin, Gabriella Tarantello +1
The pioneering work of Brezis-Merle [7], Li-Shafrir [27], Li [26] and Bartolucci-Tarantello [4] showed that any sequence of blow up solutions for (singular) mean field equations of…