具有渐近正则的非一致椭圆方程弱解的全局 BMO 估计

数学物理学报 ›› 2026, Vol. 46 ›› Issue (5): 1769-1784.

具有渐近正则的非一致椭圆方程弱解的全局 BMO 估计

佟玉霞^*(), 要佳慧, 郭艳敏

华北理工大学理学院, 河北唐山 063210

收稿日期:2024-11-08 修回日期:2025-09-13 出版日期:2026-10-26 发布日期:2026-09-07
通讯作者: 佟玉霞 E-mail:1219333495@qq.com
基金资助:
华北理工大学研究生创新项目(2026S28)

Global BMO Estimates of Weak Solutions for Non-Uniform Elliptic Equations with Asymptotic Regularity

Yuxia Tong^*(), Jiahui Yao, Yanmin Guo

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

Received:2024-11-08 Revised:2025-09-13 Online:2026-10-26 Published:2026-09-07
Contact: Yuxia Tong E-mail:1219333495@qq.com
Supported by:
Graduate Student Innovation Fund of North China University of Science and Technology(2026S28)

摘要/Abstract

摘要：

该文基于迭代引理和内插讨论等技巧, 获得了一类具有渐近正则的非一致椭圆方程弱解的全局 BMO 估计.

关键词: 渐近正则, 椭圆方程, BMO 估计.

Abstract:

A class of non-uniform elliptic equations with asymptotic regularity is considered, and the global BMO estimate of weak solutions is obtained based on methods such as the iterative lemma and perturbation discussion.

Key words: asymptotic regularity, elliptic equation, BMO estimate

中图分类号:

O175.25

佟玉霞, 要佳慧, 郭艳敏. 具有渐近正则的非一致椭圆方程弱解的全局 BMO 估计[J]. 数学物理学报, 2026, 46(5): 1769-1784.

Yuxia Tong, Jiahui Yao, Yanmin Guo. Global BMO Estimates of Weak Solutions for Non-Uniform Elliptic Equations with Asymptotic Regularity[J]. Acta mathematica scientia,Series A, 2026, 46(5): 1769-1784.

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