26 citations · 73 across the 13 of their papers we have counts for
14 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…
Existence of (Dirac-)harmonic Maps from Degenerating (Spin) Surfaces
Jürgen Jost, Jingyong Zhu
We study the existence of harmonic maps and Dirac-harmonic maps from degenerating surfaces to non-positive curved manifold via the scheme of Sacks and Uhlenbeck. By choosing a suit…
Global existence and convergence of a flow to Kazdan-Warner equation with non-negative prescribed function
Linlin Sun, Jingyong Zhu
We consider an evolution problem associated to the Kazdan-Warner equation on a closed Riemann surface \begin{align*} -Δ_{g}u=8π\left(\frac{he^{u}}{\int_Σhe^{u}{\rm d}μ_{g}}…
Short-time existence of the -Dirac-harmonic map flow and applications
Jürgen Jost, Jingyong Zhu
In this paper, we discuss the general existence theory of Dirac-harmonic maps from closed surfaces via the heat flow for -Dirac-harmonic maps and blow-up analysis. More precisel…
-Dirac-harmonic maps from closed surfaces
Jürgen Jost, Jingyong Zhu
-Dirac-harmonic maps are variations of Dirac-harmonic maps, analogous to -harmonic maps that were introduced by Sacks-Uhlenbeck to attack the existence problem for harmonic m…
Modified mean curvature flow of entire locally Lipschitz radial graphs in hyperbolic space
Patrick Allmann, Longzhi Lin, Jingyong Zhu
The asymptotic Plateau problem asks for the existence of smooth complete hypersurfaces of constant mean curvature with prescribed asymptotic boundary at infinity in the hyperbolic…
Weakly Horospherically Convex Hypersurfaces in Hyperbolic Space
Vincent Bonini, Jie Qing, Jingyong Zhu
In [2], the authors develop a global correspondence between immersed weakly horospherically convex hypersurfaces and a class of conformal metrics on do…
A Sharp Height Estimate for the Spacelike Constant Mean Curvature Graph in the Lorentz-Minkowski Space
Jingyong Zhu
In this paper, based on the local comparison principle in [12], we study the local behavior of the difference of two spacelike graphs in a neighborhood of a second contact point. T…
Dirichlet Problem of Quaternionic Monge-Ampère Equations
Jingyong Zhu
In this paper, the author studies quaternionic Monge-Ampère equations and obtains the existence and uniqueness of the solutions to the Dirichlet problem for such equations without…