Yuan Zhang

activity

20202026

L^{p}

regularity for

\partial ˉ

on the Hartogs triangle

1 citations · 2 across the 15 of their papers we have counts for

collaborators

Showing 2024 · math.APShow all

3 papers · 2 filters

math.AP2024

Continuous Sobolev functions with singularity on arbitrary real-analytic sets

Yifei Pan, Yuan Zhang

Near every point of a real-analytic set in $R^{n}$ , we make use of Hironaka's resolution of singularity theorem to construct a family of continuous functions in $W^{1, 1}_{lo…

math.AP2024

Unique continuation for a gradient inequality with $L^{n}$ potential

Adam Coffman, Yifei Pan, Yuan Zhang

We establish a unique continuation property for solutions of the differential inequality $∣\nabla u ∣ \leq V ∣ u ∣$ , where $V$ is locally $L^{n}$ integrable on a domain in $R^{n}$ .…

math.AP2024

On solutions to $- Δ u = V u$ near infinity

Yifei Pan, Yuan Zhang

We investigate the unique continuation property and the sign changing behavior of weak solutions to $- Δ u = V u$ near infinity under certain conditions on the blow-up rate of the pote…

Continuous Sobolev functions with singularity on arbitrary real-analytic sets

Unique continuation for a gradient inequality with Ln potential

On solutions to −Δu=Vu near infinity

Unique continuation for a gradient inequality with $L^{n}$ potential

On solutions to $- Δ u = V u$ near infinity