Interior pointwise C2, α regularity for fully nonlinear elliptic equations. (February 2023)

• Record Type: Journal Article
• Authors: Wu, Duan; Niu, Pengcheng
• Is Part Of: Nonlinear analysis. Volume 227(2023)
• Publication Date: 2023-02
• Subjects: 35B65 -- 35J60 -- 35D40; C2, α regularity -- Fully nonlinear elliptic equation -- Viscosity solution; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2022.113159
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: In this note, we prove the interior C 2, α regularity for viscosity solutions of fully nonlinear uniformly elliptic equations with the ellipticity constants close to each other enough. In particular, the regularity for Isaacs equations can be derived. The main idea is the compactness technique.