Weighted Lorentz and Lorentz-Morrey estimates to viscosity solutions of fully nonlinear elliptic equations

作者：Zhang, Junjie; Zheng, Shenzhou^*

来源：Complex Variables and Elliptic Equations, 2018, 63(9): 1271-1289.

DOI：10.1080/17476933.2017.1357707

• Fully nonlinear elliptic equations
• weighted Lorentz estimates
• viscosity solutions
• weight functions
• Lorentz-Morrey spaces

We prove a global weighted Lorentz and Lorentz-Morrey estimates of the viscosity solutions to the Dirichlet problem for fully nonlinear elliptic equation defined in a bounded domain. The oscillation of nonlinearity F with respect to x is assumed to be small in the sense. Here, we employ the Lorentz boundedness of the Hardy-Littlewood maximal operators and an equivalent representation of weighted Lorentz norm.

• 出版日期2018
• 单位北京交通大学