Yongyong Wang, Junjie Zhang, Shenzhou Zheng
Abstract:
We prove a global Lorentz estimate of the Hessian of strong solutions
to a class of asymptotically regular fully nonlinear elliptic equations
over a
smooth bounded domain. Here, the approach of the main
proof is based on the Possion's transform from an asymptotically regular
elliptic equation to the regular one.
Submitted October 25, 2016. Published May 4, 2017.
Math Subject Classifications: 35J60, 35B65, 35D30.
Key Words: Nonlinear elliptic equations; Lorentz estimate; asymptotically regular;
small BMO coefficients.
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Yongyong Wang Department of Mathematics Beijing Jiaotong University Beijing 100044, China email: yongyongwang@bjtu.edu.cn | |
Junjie Zhang Department of Mathematics Beijing Jiaotong University Beijing 100044, China email: junjiezhang@bjtu.edu.cn | |
Shenzhou Zheng Department of Mathematics Beijing Jiaotong University Beijing 100044, China email: shzhzheng@bjtu.edu.cn |
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