3 citations · 8 across the 9 of their papers we have counts for
9 papers
A note on the equality case of Bray's conjecture
Xu-Qian Fan, Chengjie Yu
In this short note, we characterize the equality case of Bray's conjecture recently proved by Jiang-Li-Wang \cite{JLW}.
An existence and uniqueness result for orientation-reversing harmonic diffeomorphism from to
Shi-Zhong Du, Xu-Qian Fan
In this paper, we prove an existence and uniqueness theorem for orientation-reversing harmonic diffeomorphisms from to with rotational symmetry, w…
A nonexistence result on harmonic diffeomorphisms between punctured spaces
Shi-Zhong Du, Xu-Qian Fan
In this paper, we will prove a result of nonexistence on harmonic diffeomorphisms between punctured spaces. In particular, we will given an elementary proof to the nonexistence of…
Steklov eigenvalues on annulus
Xu-Qian Fan, Luen-Fai Tam, Chengjie Yu
We obtain supremum of the k-th normalized Steklov eigenvalues of all rotational symmetric conformal metrics on the cylinder with k>1. The case k=1 for all conformal metrics has bee…
Rotationally symmetric harmonic diffeomorphisms between surfaces
Li Chen, Shi-Zhong Du, Xu-Qian Fan
In this paper, we show that the nonexistence of rotationally symmetric harmonic diffeomorphism between the unit disk without the origin and a punctured disc with hyperbolic metric…
A property of the Brown-York mass in Schwarzschild manifolds
Xu-Qian Fan, Kwok-Kun Kwong
We will extend partially our previous results about the limit of the Brown-York mass of a family of convex revolution surfaces in the Schwarzschild manifold such that these surface…