6 citations · 9 across the 6 of their papers we have counts for
6 papers
The quantitative behavior of -Yang-Mills-Higgs fields on surfaces
Wanjun Ai, Jiayu Li, Miaomiao Zhu
We investigate the blow-up behavior of -Yang--Mills--Higgs (-YMH) fields over closed Riemannian surfaces with the target fiber being the ro…
Variational aspects of the generalized Seiberg-Witten functional
Wanjun Ai, Shuhan Jiang, Jürgen Jost
In this paper, as a step towards a unified mathematical treatment of the gauge functionals from quantum field theory that have found profound applications in mathematics, we genera…
Regularity for Dirac-harmonic maps into certain pseudo-Riemannian manifolds
Wanjun Ai, Miaomiao Zhu
We show the smoothness of weakly Dirac-harmonic maps from a closed spin Riemann surface into stationary Lorentzian manifolds, and obtain a regularity theorem for a class of critica…
The boundary value problem for Yang--Mills--Higgs fields
Wanjun Ai, Chong Song, Miaomiao Zhu
We show the existence of Yang--Mills--Higgs (YMH) fields over a Riemann surface with boundary where a free boundary condition is imposed on the section and a Neumann boundary condi…
Neck Analysis of Extrinsic Polyharmonic Maps
Wanjun Ai, Hao Yin
We prove the energy identity and the no neck property for a sequence of smooth extrinsic polyharmonic maps with bounded total energy.
The Flow of Gauge Transformations on Riemannian Surface with Boundary
Wanjun Ai
We consider the gauge transformations of a metric -bundle over a compact Riemannian surface with boundary. By employing the heat flow method, the local existence and the long ti…