Orlicz空间中A-调和方程很弱解得Lϕ估计

数学物理学报 ›› 2020, Vol. 40 ›› Issue (6): 1461-1480.

Orlicz空间中A-调和方程很弱解得L^ϕ估计

佟玉霞,王薪茹,谷建涛*()

华北理工大学理学院河北唐山 063210

收稿日期:2020-01-07 出版日期:2020-12-26 发布日期:2020-12-29
通讯作者: 谷建涛 E-mail:jiantaogu@126.com

L^ϕ-Type Estimates for Very Weak Solutions of A-Harmonic Equation in Orlicz Spaces

Yuxia Tong,Xinru Wang,Jiantao Gu*()

College of Science, North China University of Science and Technology, Hebei Tangshan 063210

Received:2020-01-07 Online:2020-12-26 Published:2020-12-29
Contact: Jiantao Gu E-mail:jiantaogu@126.com

摘要/Abstract

摘要：

该文主要研究Orlicz空间中A-调和方程很弱解的梯度估计, 其中算子A满足某些合适的条件, 给定的向量函数满足适当的增长条件.

关键词: Orlicz空间, 很弱解, A-调和方程

Abstract:

The paper deals with the gradient estimates in Orlicz spaces for very weak solutions of A-harmonic equations under the assumptions that A satisfies some proper conditions and the given function satisfies some moderate growth condition.

Key words: Orlicz space, Very weak solution, A-Harmonic equation

中图分类号:

O175.25

佟玉霞,王薪茹,谷建涛. Orlicz空间中A-调和方程很弱解得L^ϕ估计[J]. 数学物理学报, 2020, 40(6): 1461-1480.

Yuxia Tong,Xinru Wang,Jiantao Gu. L^ϕ-Type Estimates for Very Weak Solutions of A-Harmonic Equation in Orlicz Spaces[J]. Acta mathematica scientia,Series A, 2020, 40(6): 1461-1480.

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