3 citations · 6 across the 4 of their papers we have counts for
7 papers
On a fully nonlinear Yamabe problem
Yuxin Ge, Guofang Wang
We solve the -Yamabe problem for a non locally conformally flat manifold of dimension .
Dirac-Harmonic Maps
Qun Chen, Juergen Jost, Jiayu Li +1
We introduce a functional that couples the nonlinear sigma model with a spinor field: $L=\int_M[|dϕ|^2+(ψ,\Dψ)]$. In two dimensions, it is conformally invariant. The critical point…
Mean curvature flow with flat normal bundles
Knut Smoczyk, Guofang Wang, Y. L. Xin
We show that flatness of the normal bundle is preserved under the mean curvature flow in the Euclidean space and use this to generalize a classical result for hypersurfaces due to…
Geometric inequalities on locally conformally flat manifolds
Pengfei Guan, Guofang Wang
Through the study of some elliptic and parabolic fully nonlinear PDEs, we establish conformal versions of quermassintegral inequality, the Sobolev inequality and the Moser-Trudinge…
Analytic aspects of the Toda system: I. A Moser-Trudinger inequality
Juergen Jost, Guofang Wang
We analyze solutions of the Toda system and establish an optimal Moser-Trudinger inequality
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…