Y. Zhang

activity

20162022

collaborators

9 papers

math.AP2022

Interior Hölder regularity for stable solutions to semilinear elliptic equations up to dimension 5

Fa Peng, Yi Ru-Ya Zhang, Yuan Zhou

Let $2 \leq n \leq 5$ . We establish an apriori interior Hölder regularity of $C^{2}$ -stable solutions to the semilinear equation $- Δ u = f (u)$ in any domain of $R^{n}$ for any nonlinearity $f…

math.CV2020

Duality of capacities and Sobolev extendability in the plane

Yi Ru-Ya Zhang

We reveal relations between the duality of capacities and the duality between Sobolev extendability of Jordan domains in the plane, and explain how to read the curve conditions inv…

math.CV2019

Ahlfors reflection theorem for $p$ -morphisms

Pekka Koskela, Pekka Pankka, Yi Ru-Ya Zhang

We prove an Ahlfors refection theorem for $p$ -reflections over Jordan curves bounding subhyperbolic domains in $C^$ .

math.OC2019

Strong stability for the Wulff inequality with a crystalline norm

Alessio Figalli, Yi Ru-Ya Zhang

Let $K$ be a convex polyhedron and $F$ its Wulff energy, and let $C (K)$ denote the set of convex polyhedra close to $K$ whose faces are parallel to those of $K$ .…

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…