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math.DG2022
Dirac-harmonic maps with trivial index
Jürgen Jost, Linlin Sun, Jingyong Zhu
For a homotopy class of maps between a closed Riemannian manifold and a general manifold , we want to find a Dirac-harmonic map with the map component in the given hom…
math.DG2022
Boundary value problem for the mean field equation on a compact Riemann surface
Jiayu Li, Linlin Sun, Yunyan Yang
Let be a compact Riemann surface with smooth boundary , be the Laplace-Beltrami operator, and be a positive smooth function. Using a min-max scheme int…