数学物理学报 ›› 2020, Vol. 40 ›› Issue (2): 379-394.

• 论文 • 上一篇    下一篇

自然增长条件下的非齐次A-调和方程弱解的梯度估计

张雅楠,闫硕,佟玉霞*()   

  1. 华北理工大学理学院 河北唐山 063210
  • 收稿日期:2018-12-28 出版日期:2020-04-26 发布日期:2020-05-21
  • 通讯作者: 佟玉霞 E-mail:tongyuxia@126.com
  • 基金资助:
    河北省社会科学基金(HB17YJ094)

Gradient Estimates for Weak Solutions to Non-Homogeneous A-Harmonic Equations Under Natural Growth

Yanan Zhang,Shuo Yan,Yuxia Tong*()   

  1. College of Science, North China University of Science and Technology, Hebei Tangshan 063210
  • Received:2018-12-28 Online:2020-04-26 Published:2020-05-21
  • Contact: Yuxia Tong E-mail:tongyuxia@126.com
  • Supported by:
    the Social Science Fund of Hebei Province(HB17YJ094)

摘要:

该文主要研究一类自然增长条件下的非齐次A-调和方程弱解的梯度估计,首先获得自然增长条件下的非齐次A-调和方程弱解的Lp估计,然后使用迭代覆盖逼近等方法,将其推广到Orlicz空间.

关键词: A-调和方程, 弱解, 梯度估计

Abstract:

The gradient estimates for weak solutions to non-homogeneous A-harmonic equations under natural growth is obtained. The Lp-type estimates for such equation is derived under natural growth, and then the Lφ-type estimate in Orlicz space is derived by a new iteration-covering approach.

Key words: A-Harmonic equation, Weak solution, Gradient estimate

中图分类号: 

  • O175.25