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

In the paper, we define a new class of De Giorgi type that is related to the Caffarelli-Korn-Nirenberg weights and its applications in obtaining the Hölder continuity of solutions to degenerate/singular elliptic equations and quasi-minima of functionals. Our results are the direct extension of some...

Full description

Saved in:
Bibliographic Details
Published inJournal of mathematical analysis and applications Vol. 541; no. 2; p. 128696
Main Authors Hanh, Tran Thi, Nhan, Le Cong
Format Journal Article
LanguageEnglish
Published Elsevier Inc 15.01.2025
Subjects
Caffarelli-Korn-Nirenberg inequality
De Giorgi method
Hölder continuity
Quasilinear equation
De Giorgi method
Quasilinear equation
Hölder continuity
Caffarelli-Korn-Nirenberg inequality
Online AccessGet full text

Cover

More Information
Summary:In the paper, we define a new class of De Giorgi type that is related to the Caffarelli-Korn-Nirenberg weights and its applications in obtaining the Hölder 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].
ISSN:0022-247X
DOI:10.1016/j.jmaa.2024.128696