A new de Giorgi class type related to the Caffarelli-Kohn-Nirenb erg weights and Hölder continuity

被引：0

作者：

Hanh, Tran Thi ^{[1
]}

Nhan, Le Cong ^{[1
]}

机构：

[1] Ho Chi Minh City Univ Technol & Educ, Fac Appl Sci, Ho Chi Minh City, Vietnam

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2025年 / 541卷 / 02期

关键词：

Quasilinear equation; Caffarelli-Korn-Nirenberg inequality; H & ouml; lder continuity; De Giorgi method; ELLIPTIC-EQUATIONS; HOLDER CONTINUITY; REGULARITY; THEOREM; SPACES; ORDER; INEQUALITIES; FUNCTIONALS; MINIMIZERS;

D O I：

10.1016/j.jmaa.2024.128696

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the paper, we define a new class of De Giorgi type that is related to the CaffarelliKorn-Nirenberg weights and its applications in obtaining the H & ouml;lder continuity of solutions to degenerate/singular elliptic equations and quasi-minima of functionals. Our results are the direct extension of some previous works Colorado et al. (2004) [13], Fan and Zhao (1999) [17], Nhan et al. (2022) [38], Yu and Ri (2017) [50]. (c) 2024 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.

引用

页数：35