Total energy of radial mappings. (January 2018)

• Record Type: Journal Article
• Authors: Chen, Shaolin; Kalaj, David
• Is Part Of: Nonlinear analysis. Volume 167(2018)
• Page Start: 21
• Page End: 28
• Publication Date: 2018-01
• Subjects: primary 31A05 -- secondary 42B30; Total energy -- Radial mappings -- Annuli; 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.2017.10.014
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: We prove that, the so called total energy functional defined on the class of radial stretchings between annuli attains its minimum on a total energy diffeomorphism between annuli on R n . This involves a subtle analysis of some special ODE. The result is an extension of the corresponding 2 -dimensional case obtained by Iwaniec and Onninen (2009).