26 citations · 56 across the 11 of their papers we have counts for
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A note on the BMO and Calderón-Zygmund estimate
Yuanyuan Lian, Kai Zhang
In this note, we give a simple proof of the pointwise BMO estimate for Poisson's equation. Then the Calderón-Zygmund estimate follows by the interpolation and duality.
Boundary pointwise regularity and applications to the regularity of free boundaries
Yuanyuan Lian, Kai Zhang
In this paper, we develop a series of boundary pointwise regularity for Dirichlet problems and oblique derivative problems. As applications, we give direct and simple proofs of the…
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…
Pointwise Boundary Differentiability for Fully Nonlinear Elliptic Equations
Duan Wu, Yuanyuan Lian, Kai Zhang
In this paper, we prove the pointwise boundary differentiability for viscosity solutions of fully nonlinear elliptic equations. This generalizes the previous related results for li…
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…
On the boundary Hölder regularity for the infinity Laplace equation
Leyun Wu, Yuanyuan Lian, Kai Zhang
In this note, we prove the boundary Hölder regularity for the infinity Laplace equation under a proper geometric condition. This geometric condition is quite general, and the exter…