5 papers
On the Schrödinger flows
Weiyue Ding
We present some recent results on the existence of solutions of the Schrödinger flows, and pose some problems for further research.
Harmonic Hopf Constructions Between Spheres II
Weiyue Ding, Huijun Fan, Jiayu Li
We prove that a necessary condition for the existence of the remaining problem in the harmonic Hopf construction is also sufficient. We also give some topological applications base…
Existence results for mean field equations
W. Ding, J. Jost, J. Li +1
Let be an annulus. We prove that the mean field equation $-Δψ=\frac{e\sp{-βψ}}{\int\sbΩe\sp{-βψ}} $ admits a solution with zero boundary for . This is a superc…
An analysis of the two-vortex case in the Chern-Simons Higgs model
W. Ding, J. Jost, J. Li +1
Extending work of Caffarelli-Yang and Tarantello, we present a variational existence proof for two-vortex solutions of the periodic Chern-Simons Higgs model and analyze the asympto…
The differential equation on a compact Riemann surface
W. Ding, J. Jost, J. Li +1
Let be a compact Riemann surface, a positive smooth function on . In this paper, we consider the functional $$J(u)={1/2}\int \sb{M}|\bigtriangledown u|\sp 2 + 8π\int\…