山西大学学报（自然科学版）2025，Vol.48Issue(6)：1119-1131,13.DOI:10.13451/j.sxu.ns.2024018
一类椭圆问题的全局Hölder估计
Global Hölder Estimates for a Class of Elliptic Problems
摘要
Abstract
The global Hölder estimate of weak solutions for a class of Dirichlet boundary value problems of elliptic equations was considered.This article first proves the global higher order integrability,and then gives several lemmas that prove the main conclu-sions.By establishing suitable comparative estimates and using processing tools such as the Young inequality and the Hölder in-equality,the global Hölder estimate of weak solutions for a class of Dirichlet boundary value problems of elliptic equations was ob-tained through covering iterative discussions.关键词
边值问题/弱解/Hölder估计Key words
boundary value problem/weak solution/Hölder estimate分类
数学引用本文复制引用
田润蓁,佟玉霞..一类椭圆问题的全局Hölder估计[J].山西大学学报（自然科学版）,2025,48(6):1119-1131,13.基金项目
河北省教育厅重点项目(ZD2022070) （ZD2022070）
