Gradient estimate of a variable power for nonlinear elliptic equations with Orlicz growth

In this paper, we prove a global Calderón-Zygmund type estimate in the framework of Lorentz spaces for a variable power of the gradients to the zero-Dirichlet problem of general nonlinear elliptic equations with the nonlinearities satisfying Orlicz growth. It is mainly assumed that the variable expo...

Full description

Bibliographic Details
Main Authors: Liang Shuang, Zheng Shenzhou
Format: Article
Language:English
Published: De Gruyter 2020-07-01
Series:Advances in Nonlinear Analysis
Subjects:
Online Access:https://doi.org/10.1515/anona-2020-0121