Optimal C1, α regularity for degenerate fully nonlinear elliptic equations with Neumann boundary condition. (September 2020)

• Record Type: Journal Article
• Authors: Ricarte, Gleydson C.
• Is Part Of: Nonlinear analysis. Volume 198(2020)
• Publication Date: 2020-09
• Subjects: 35J60 -- 35J75 -- 35B65 -- 35R35; Regularity theory -- Optimal a priori estimates -- Fully nonlinear elliptic equations; 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.2020.111867
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: In the present paper, we study sharp C 1, α regularity results with boundary Neumann condition for viscosity solutions for a class of degenerate fully non-linear elliptic equations.