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 2021 · math.APShow all

3 papers · 2 filters

math.AP2021

$H W_{loc}^{2, 2}$ -regularity for $p$ -harmonic functions in Heisenberg groups

Jiayin Liu, Fa Peng, Yuan Zhou

Let $1 < p \leq 4$ when $n = 1$ and $1 < p < 3 + \frac{1}{n - 1}$ when $n \geq 2$ . We obtain the second-order horizontal Sobolev $H W_{loc}^{2, 2}$ -regularity of $p$ -harmonic functions in the H…

math.AP2021

A quantitative second order estimate for (weighted) $p$ -harmonic functions in manifolds under curvature-dimension condition

Jiayin Liu, Shijin Zhang, Yuan Zhou

We build up a quantitative second order Sobolev estimate of $ln w$ for positive $p$ -harmonic functions $w$ in Riemannian manifolds under Ricci curvature bounded from blow and als…

math.AP2021★ 4 cited

Optimal regularity & Liouville property for stable solutions to semilinear elliptic equations in $R^{n}$ with $n \geq 10$

Fa Peng, Yi Ru-Ya Zhang, Yuan Zhou

Let $0 \leq f \in C^{0, 1} (R^{n})$ . Given a domain $Ω \subset R^{n}$ , we prove that any stable solution to the equation $- Δ u = f (u)$ in $Ω$ satisfies a BMO interior regularit…

HWloc2,2​-regularity for p-harmonic functions in Heisenberg groups

A quantitative second order estimate for (weighted) p-harmonic functions in manifolds under curvature-dimension condition

Optimal regularity & Liouville property for stable solutions to semilinear elliptic equations in Rn with n≥10

$H W_{loc}^{2, 2}$ -regularity for $p$ -harmonic functions in Heisenberg groups

A quantitative second order estimate for (weighted) $p$ -harmonic functions in manifolds under curvature-dimension condition

Optimal regularity & Liouville property for stable solutions to semilinear elliptic equations in $R^{n}$ with $n \geq 10$