Kai Zhang

activity

20182026

most citedRegularity for fully nonlinear elliptic equations with oblique boundary conditions

26 citations · 77 across the 23 of their papers we have counts for

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3 papers · 1 filter

math.AP2025

Interior $C^{2, α}$ regularity for fully nonlinear uniformly elliptic equations in dimension two

Kai Zhang

In this note, we present the interior $C^{2, α}$ regularity for viscosity solutions of fully nonlinear uniformly elliptic equations in dimension two.

math.AP2025

Boundary Hölder gradient estimates for parabolic $p$ -Laplace type equations

Se-Chan Lee, Yuanyuan Lian, Hyungsung Yun +1

In this paper, we study the boundary regularity for viscosity solutions of parabolic $p$ -Laplace type equations. In particular, we obtain the boundary pointwise $C^{1, α}$ regularit…

math.AP2025

Time derivative estimates for parabolic $p$ -Laplace equations and applications to optimal regularity

Se-Chan Lee, Yuanyuan Lian, Hyungsung Yun +1

We establish the boundedness of time derivatives of solutions to parabolic $p$ -Laplace equations. Our approach relies on the Bernstein technique combined with a suitable approximat…

Interior C2,α regularity for fully nonlinear uniformly elliptic equations in dimension two

Boundary Hölder gradient estimates for parabolic p-Laplace type equations

Time derivative estimates for parabolic p-Laplace equations and applications to optimal regularity

Interior $C^{2, α}$ regularity for fully nonlinear uniformly elliptic equations in dimension two

Boundary Hölder gradient estimates for parabolic $p$ -Laplace type equations

Time derivative estimates for parabolic $p$ -Laplace equations and applications to optimal regularity