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

collaborators

25 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 , and we establish a maximum…

math.AP2026

Inverse Spectral Problem With Low Regularity Refractive Index

Kewen Bu, Youjun Deng, Yan Jiang +1

This article investigates the unique determination of a radial refractive index n from spectral data. First, we demonstrate that for piecewise twice continuously differentiable fun…

math.AP2025

Interior regularity for fully nonlinear uniformly elliptic equations in dimension two

Kai Zhang

In this note, we present the interior regularity for viscosity solutions of fully nonlinear uniformly elliptic equations in dimension two.

math.AP2025

Boundary Hölder gradient estimates for parabolic -Laplace type equations

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

In this paper, we study the boundary regularity for viscosity solutions of parabolic -Laplace type equations. In particular, we obtain the boundary pointwise regularit…

math.AP2025

Time derivative estimates for parabolic -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 -Laplace equations. Our approach relies on the Bernstein technique combined with a suitable approximat…

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 (, ) regu…