12 papers
Boundary partial regularity for a class of Dirac-harmonic maps
Jürgen Jost, Jingyong Zhu
In this paper, we prove the boundary partial regularity for a class of coupled Dirac-harmonic maps satisfying a certain energy monotonicity inequality near the boundary.
Uniqueness of Dirac-harmonic maps from a compact surface with boundary
Jürgen Jost, Jingyong Zhu
As a commutative version of the supersymmetric nonlinear sigma model, Dirac-harmonic maps from Riemann surfaces were introduced fifteen years ago. They are critical points of an un…
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…
Uniqueness of conformal-harmonic maps on locally conformally flat 4-manifolds
Longzhi Lin, Jingyong Zhu
Motivated by the theory of harmonic maps on Riemannian surfaces, conformal-harmonic maps between two Riemannian manifolds and were introduced in search of a natural notion…
Existence of Kazdan-Warner equation with sign-changing prescribed function
Linlin Sun, Jingyong Zhu
In this paper, we study the following Kazdan-Warner equation with sign-changing prescribed function \begin{align*} -Δu=8π\left(\frac{he^{u}}{\int_Σhe^{u}}-1\right) \end{align*}…
Uniqueness of Hypersurfaces of Constant Higher Order Mean Curvature in Hyperbolic Space
Barbara Nelli, Jingyong Zhu
We study the uniqueness of horospheres and equidistant spheres in hyperbolic space under different conditions. First we generalize the Bernstein theorem by Do Carmo and Lawson to t…