Neohookean deformations of annuli in the higher dimensional Euclidean space. (December 2019)

• Record Type: Journal Article
• Authors: Zhu, Jian-Feng; Kalaj, David
• Is Part Of: Nonlinear analysis. Volume 189(2019)
• Publication Date: 2019-12
• Subjects: primary 31A05 30C60 -- secondary 35J15 35J70; Minimizers -- 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.2019.111575
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: Let n > 2 be an integer and assume that A = { x ∈ R n : 1 < | x | < R } and A ∗ = { y ∈ R n : 1 < | y | < R ∗ } be two annuli in Euclidean space R n . Assume that F ( A, A ∗ ) (resp. R ( A, A ∗ ) ) be the class of all orientation preserving (resp. radial) homeomorphisms h : A ↦ A ∗ in the Sobolev space W 1, n ( A, A ∗ ) which keep the boundary circles in the same order. In this paper, we extended the corresponding results of Iwaniec and Onninen which was published in Math. Ann Vol. 348, 2010.