26 citations · 68 across the 21 of their papers we have counts for
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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…
An Optimal Geometric Condition on Domains for Boundary Differentiability of Solutions of Elliptic Equations
Dongsheng Li, Kai Zhang
In this paper, a geometric condition on domains will be given which guarantees the boundary differentiability of solutions of elliptic equations, that is, the solutions are differe…