6 papers
Liouville theorems for -Laplacian equations in convex cones without finite-energy condition
Lu Chen, Wei Dai, Changfeng Gui +1
We study the anisotropic Finsler -Laplacian equation \begin{equation*} \left\{ \begin{aligned} &-Δ^{H}_{p}u=f(u) \quad\,\,\, &{\rm{in}} \,\, \mathcal{C}, &{\bf{a}}(\nabla u)\cdo…
The basic locus of ramified unitary Shimura varieties of signature at maximal vertex level
Qiao He, Yu Luo, Yousheng Shi
We construct the Bruhat--Tits stratification of the reduced locus of the ramified unitary Rapoport--Zink space of signature , with the level being the stabilizer of a vert…
Regular models of ramified unitary Shimura varieties at maximal parahoric level
Qiao He, Yu Luo, Yousheng Shi
We use the idea of splitting models to define and study a semi-stable model for unitary Shimura varieties of signature with maximal parahoric level structure at ramified…
Anisotropic Finsler -Laplacian Liouville equation in convex cones
Wei Dai, Changfeng Gui, YunPeng Luo
We consider the anisotropic Finsler -Laplacian Liouville equation \[-Δ^{H}_{N}u=e^u \qquad {\rm{in}}\,\, \mathcal{C},\] where , is a…
On the moduli description of ramified unitary local models of signature
Yu Luo
We provide a moduli description of the ramified unitary local model of signature with arbitrary parahoric level structure, assuming the residue field has characteristic n…
Infinite families of higher torsion in the homotopy groups of Moore spaces
Steven Amelotte, Frederick R. Cohen, Yuxin Luo
We give a refinement of the stable Snaith splitting of the double loop space of a Moore space and use it to construct infinite -periodic families of elements of order $p^{r+1}…