26 citations · 65 across the 11 of their papers we have counts for
15 papers
Estimates for Elliptic Equations on Domains
Dongsheng Li, Xuemei Li, Kai Zhang
In this paper, a new method is represented to investigate boundary estimates for elliptic equations, which is, roughly speaking, to derive boundary estimates fr…
An Extension of Caldern-Zygmund type singular integral
Quansen Jiu, Dongsheng Li, Huan Yu
In this paper, we consider a kind of singular integral which can be viewed as an extension of the classical Caldern-Zygmund type singular integral. We establish an e…
Regularity for fully nonlinear elliptic equations with oblique boundary conditions
Dongsheng Li, Kai Zhang
In this paper, we obtain a series of regularity results for viscosity solutions of fully nonlinear elliptic equations with oblique derivative boundary conditions. In particular, we…
A note on the Harnack inequality for elliptic equations in divergence form
Dongsheng Li, Kai Zhang
In 1957, De Giorgi [3] proved the Hölder continuity for elliptic equations in divergence form and Moser [7] gave a new proof in 1960. Next year, Moser [8] obtained the Harnack ineq…
Pointwise Boundary Differentiability of Solutions of Elliptic Equations
Yongpan Huang, Dongsheng Li, Kai Zhang
In this paper, we give pointwise geometric conditions on the boundary which guarantee the differentiability of the solution at the boundary. Precisely, the geometric conditions are…
interior estimates of fully nonlinear elliptic equations
Dongsheng Li, Kai Zhang
In this paper, we generalize the interior estimates of fully nonlinear elliptic equations that were obtained by Caffarelli in [1]. The generalizations are carried out in…