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math.DG2026
Liouville theorem for quasi-harmonic sphere
Jiayu Li, Linlin Sun
Let be a compact Riemannian manifold whose universal covering supports a convex function. We prove that it admits no quasi-harmonic sphere. No global growth condition is impose…
math.DG2026
A flow approach to the Toda system
Yong Luo, Linlin Sun, Guofang Wang
In this paper we introduce a flow to study the Toda system, which we call {\it Toda flow.} More generally, we introduce a flow of the Liouville systems, formulated as a coupled par…
math.DG2024
Sinh-Gordon equations on finite graphs
Linlin Sun
In this paper, we focus on the sinh-Gordon equation on graphs. We introduce a uniform a priori estimate to define the topological degree for this equation with nonzero prescribed f…