The existence of minimizers of energy for diffeomorphisms between two-dimensional annuli in R2 and R3. (April 2022)

• Record Type: Journal Article
• Authors: Kalaj, David; Zhu, Jian-Feng
• Is Part Of: Nonlinear analysis. Volume 217(2022)
• Publication Date: 2022-04
• Subjects: primary 31A05 -- secondary 42B30; Minimizers of Dirichlet energy -- Nitsche phenomenon -- 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.2021.112764
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: In this paper, we consider the minimization for the Dirichlet energy of Sobolev homeomorphisms between two-dimensional annuli in R 2 and R 3, respectively. It should be noticed that in this case a Nitsche phenomenon occurs. The main result of this paper partly extends the corresponding result in Astala et al. (2010).