Pointwise boundary differentiability on Reifenberg domains for fully nonlinear elliptic equations

In this paper, we establish the pointwise boundary differentiability on Reifenberg domains for viscosity solutions of fully nonlinear elliptic equations which extends the result under the usual C 1 , Dini condition and generalizes the result for linear equations in Huang et al (Manuscr. Math 162(3–4...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	Manuscripta mathematica 2022-11, Vol.169 (3-4), p.549-563
Hauptverfasser:	Wu, Duan, Niu, Pengcheng
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebraic Geometry Calculus of Variations and Optimal Control Optimization Domains Elliptic functions Geometry Lie Groups Linear equations Mathematical analysis Mathematics Mathematics and Statistics Number Theory Topological Groups
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Beschreibung
Zusammenfassung:	In this paper, we establish the pointwise boundary differentiability on Reifenberg domains for viscosity solutions of fully nonlinear elliptic equations which extends the result under the usual C 1 , Dini condition and generalizes the result for linear equations in Huang et al (Manuscr. Math 162(3–4):305–313, 2020). Moreover, our proofs are relatively simple.
ISSN:	0025-2611 1432-1785
DOI:	10.1007/s00229-021-01346-y