Yuanyuan Lian

activity

20192026

most citedBoundary pointwise regularity and Liouville theorems for fully nonlinear equations on cones

1 citations · 1 across the 7 of their papers we have counts for

collaborators

13 papers

math.DG2026

Asymptotic behavior at infinity of Weingarten surfaces

Aires E. M. Barbieri, José A. Gálvez, Yuanyuan Lian +1

We derive the asymptotic expansion at infinity for embedded ends of uniformly elliptic Weingarten surfaces with finite total curvature in $R^{3}$ , and we establish a maximum…

math.AP2026

Interior $B M O$ regularity for elliptic equations in divergence form

Yuanyuan Lian

In this note, we establish the interior $B M O$ regularity of weak solutions to uniformly elliptic equations in divergence form. Moreover, the assumptions on the coefficients are nea…

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…

math.AP2024

Interior pointwise regularity for elliptic and parabolic equations in divergence form and applications to nodal sets

Yuanyuan Lian

In this paper, we obtain the interior pointwise $C^{k, α}$ ( $k \geq 0$ , $0 < α < 1$ ) regularity for weak solutions of elliptic and parabolic equations in divergence form. The compactness…

math.AP2024

Pointwise regularity for locally uniformly elliptic equations and applications

Yuanyuan Lian, Kai Zhang

In this paper, we study the regularity for viscosity solutions of locally uniformly elliptic equations and obtain a series of interior pointwise $C^{k, α}$ ( $k \geq 1$ , $0 < α < 1$ ) regu…

Asymptotic behavior at infinity of Weingarten surfaces

Interior BMO regularity for elliptic equations in divergence form

Boundary Hölder gradient estimates for parabolic p-Laplace type equations

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

Interior pointwise regularity for elliptic and parabolic equations in divergence form and applications to nodal sets

Pointwise regularity for locally uniformly elliptic equations and applications

Interior $B M O$ regularity for elliptic equations in divergence form

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

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