Yilu Liu

collaborators

2 papers

math.AP2026

A Local Lewy Theorem for $p$ -Harmonic Function with Non-zero Gradient in $R^{3}$

Jiahuan Li, Yilu Liu, Xi-Nan Ma

We establish a local Lewy-type theorem for $p$-harmonic function with non-zero gradient in dimension three space $R^{3}$ . Let $1<p<\infty$, and let \(u\in W^{1,p}_{\mathrm{loc}}(…

math.AP2026

Nonconvex Sublevel Sets For The Planar Translating Mean Curvature Equation

Jiahuan Li, Yilu Liu, Xi-Nan Ma +1

Translating solitons arise as models for type~II singularities of mean-convex mean curvature flow. We construct a smooth bounded uniformly convex domain $\Om\Subset\R^2$ such tha…

A Local Lewy Theorem for p-Harmonic Function with Non-zero Gradient in R3

Nonconvex Sublevel Sets For The Planar Translating Mean Curvature Equation

A Local Lewy Theorem for $p$ -Harmonic Function with Non-zero Gradient in $R^{3}$