Y. Zhang

activity

20162023

most citedJacobian determinants for (nonlinear) gradient of planar

\infty

-harmonic functions and applications

1 citations · 1 across the 3 of their papers we have counts for

collaborators

Showing 2019 · math.APShow all

2 papers · 2 filters

math.AP2019

Second order regularity for elliptic and parabolic equations involving $p$ -Laplacian via a fundamental inequality

Hongjie Dong, Peng Fa, Yi Ru-Ya Zhang +1

Denote by $Δ$ the Laplacian and by $Δ_{\infty}$ the $\infty$ -Laplacian. A fundamental inequality is proved for the algebraic structure of $Δ v Δ_{\infty} v$ : for every $v \in C^{\infty}$ ,…

math.AP2019

C^1-Regularity of planar \infty-harmonic functions - REVISIT

Yi Ru-Ya Zhang, Yuan Zhou

In the seminal paper [Arch. Ration. Mech. Anal. 176 (2005), 351--361], Savin proved the $C^{1}$ -regularity of planar $\infty$ -harmonic functions $u$ . Here we give a new understanding…

Second order regularity for elliptic and parabolic equations involving p-Laplacian via a fundamental inequality

C^1-Regularity of planar \infty-harmonic functions - REVISIT

Second order regularity for elliptic and parabolic equations involving $p$ -Laplacian via a fundamental inequality