13 citations · 16 across the 6 of their papers we have counts for
7 papers
Invariable Generation of Groups of Homeomorphisms
Neelam, Davide Perego, Matteo Tarocchi
We provide a sufficient condition for a group of homeomorphisms of a compact Hausdorff space to be non-invariably generated, generalizing previous results proved using the dynamics…
A sharp isoperimetric inequality and the top order -curvature
Mingxiang Li, Xingwang Xu
For a smooth, complete and normal metric with finite total -th order -curvature on with dimension , we first show that everywhere…
Remarks on the -curvature flow
Xuezhang Chen, Li Ma, Xingwang Xu
The main purpose of this short note is to point out that the negative gradient flow for the prescribed -curvature problem on can be extended to handle the case tha…
A pointwise inequality for the fourth order Lane-Emden equation
Mostafa Fazly, Juncheng Wei, Xingwang Xu
We prove that the following pointwise inequality holds \begin{equation*} -Δu \ge \sqrt\frac{2}{(p+1)-c_n} |x|^{\frac{a}{2}} u^{\frac{p+1}{2}} + \frac{2}{n-4} \frac{|\nabla u|^2}{u}…
Classification of the stable solution to biharmonic problems in large dimensions
Juncheng Wei, Xingwang Xu, Wen Yang
We give a new bound on the exponent for the nonexistence of stable solutions to the biharmonic problem where .
Ricci Flow with hyperbolic warped product metrics
Li Ma, Xingwang Xu
In this short note, we show that the negative curvature is preserved in the deformation of hyperbolic warped product metrics under Ricci flow. It is also showed that the flow conve…
The vortex dynamics of a Ginzburg-Landau system under pinning effect
Huaiyu Jian, Xingwang Xu
It is proved that the vortices are attracted by impurities or inhomogeities in the superconducting materials. The strong H^1-convergence for the corresponding Ginzburg-Landau syste…