8 citations · 8 across the 3 of their papers we have counts for
8 papers
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…
Interior regularity for elliptic equations in divergence form
Yuanyuan Lian
In this note, we establish the interior regularity of weak solutions to uniformly elliptic equations in divergence form. Moreover, the assumptions on the coefficients are nea…
Pointwise Regularity for Fully Nonlinear Elliptic Equations in General Forms
Yuanyuan Lian, Lihe Wang, Kai Zhang
In this paper, we develop systematically the pointwise regularity for viscosity solutions of fully nonlinear elliptic equations in general forms. In particular, the equations with…
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 regulari…
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…
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 (, ) regularity for weak solutions of elliptic and parabolic equations in divergence form. The compactne…