A density result for homogeneous Sobolev spaces. (December 2021)

• Record Type: Journal Article
• Authors: Nandi, Debanjan
• Is Part Of: Nonlinear analysis. Volume 213(2021)
• Publication Date: 2021-12
• Subjects: Sobolev space -- Gromov hyperbolic -- Density -- Quasihyperbolic; 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.2021.112501
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: We show that in a bounded Gromov hyperbolic domain Ω smooth functions with bounded derivatives C ∞ ( Ω ) ∩ W k, ∞ ( Ω ) are dense in the homogeneous Sobolev spaces L k, p ( Ω ) .