Yu Luo

collaborators

5 papers

math.AP2026

Liouville theorems for $p$ -Laplacian equations in convex cones without finite-energy condition

Lu Chen, Wei Dai, Changfeng Gui +1

We study the anisotropic Finsler $p$ -Laplacian equation \begin{equation*} \left\{ \begin{aligned} &-Î^{H}_{p}u=f(u) \quad\,\,\, &{\rm{in}} \,\, \mathcal{C}, &{\bf{a}}(\nabla u)\cd…

math.AG2026

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 $(n - 1, 1)$ with maximal parahoric level structure at ramified…

math.AG2026

The basic locus of ramified unitary Shimura varieties of signature $(n - 1, 1)$ 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 $(n - 1, 1)$ , with the level being the stabilizer of a vert…

math.AG2025

On the moduli description of ramified unitary local models of signature $(n - 1, 1)$

Yu Luo

We provide a moduli description of the ramified unitary local model of signature $(n - 1, 1)$ with arbitrary parahoric level structure, assuming the residue field has characteristic n…

math.AP2025

Anisotropic Finsler $N$ -Laplacian Liouville equation in convex cones

Wei Dai, Changfeng Gui, YunPeng Luo

We consider the anisotropic Finsler $N$ -Laplacian Liouville equation \[-Î^{H}_{N}u=e^u \qquad {\rm{in}}\,\, \mathcal{C},\] where $N \geq 2$ , $C \subseteq R^{N}$ is…

Liouville theorems for p-Laplacian equations in convex cones without finite-energy condition

Regular models of ramified unitary Shimura varieties at maximal parahoric level

The basic locus of ramified unitary Shimura varieties of signature (n−1,1) at maximal vertex level

On the moduli description of ramified unitary local models of signature (n−1,1)

Anisotropic Finsler N-Laplacian Liouville equation in convex cones

Liouville theorems for $p$ -Laplacian equations in convex cones without finite-energy condition

The basic locus of ramified unitary Shimura varieties of signature $(n - 1, 1)$ at maximal vertex level

On the moduli description of ramified unitary local models of signature $(n - 1, 1)$

Anisotropic Finsler $N$ -Laplacian Liouville equation in convex cones