Local pointwise second derivative estimates for strong solutions to the σk-Yamabe equation on Euclidean domains

Local pointwise second derivative estimates for strong solutions to the σk-Yamabe equation on Euclidean domains

We prove local pointwise second derivative estimates for positive W 2 , p solutions to the σ k -Yamabe equation on Euclidean domains, addressing both the positive and negative cases. Generalisations for augmented Hessian equations are also considered.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Calculus of variations and partial differential equations 2021-10, Vol.60 (5), Article 177
Hauptverfasser: Duncan, Jonah A. J., Nguyen, Luc
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Calculus of Variations and Optimal Control
Optimization
Control
Domains
Estimates
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Systems Theory
Theoretical
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We prove local pointwise second derivative estimates for positive W 2 , p solutions to the σ k -Yamabe equation on Euclidean domains, addressing both the positive and negative cases. Generalisations for augmented Hessian equations are also considered.
ISSN:0944-2669
1432-0835
DOI:10.1007/s00526-021-02051-0