Yuan Zhou

activity

20092022

most citedAnisotropic Singular Integrals in Product Spaces

27 citations · 119 across the 31 of their papers we have counts for

collaborators

Showing 2018Show all

2 papers · 1 filter

math.AP2018

Some sharp Sobolev regularity for inhomogeneous $\infty$ -Laplace equation in plane

Herbert Koch, Yi Ru-Ya Zhang, Yuan Zhou

Suppose $Ω ⋐ R^{2}$ and $f \in B V_{l oc} (Ω) \cap C^{0} (Ω)$ with $∣ f ∣ > 0$ in $Ω$ . Let $u \in C^{0} (Ω)$ be a viscosity solution to the inhomogeneous $\infty$ -Laplace equation $$ -Δ…

math.AP2018★ 1 cited

An asymtotic sharp Sobolev regularity for planar infinity harmonic functions

Herbert Koch, Yi Ru-Ya Zhang, Yuan Zhou

Given an arbitrary planar $\infty$ -harmonic function $u$ , for each $α > 0$ we establish a quantitative local $W^{1, 2}$ -estimate of $∣ D u ∣^{α}$ , which is sharp as $α \to 0$ . We also show t…

Some sharp Sobolev regularity for inhomogeneous ∞-Laplace equation in plane

An asymtotic sharp Sobolev regularity for planar infinity harmonic functions

Some sharp Sobolev regularity for inhomogeneous $\infty$ -Laplace equation in plane