A1 Journal article (refereed)
Bi-Sobolev boundary singularities (2023)

Iwaniec, T., Onninen, J., & Zhu, Z. (2023). Bi-Sobolev boundary singularities. Complex Analysis and its Synergies, 9(1), Article 4. https://doi.org/10.1007/s40627-023-00114-w

JYU authors or editors

Publication details

All authors or editors: Iwaniec, Tadeusz; Onninen, Jani; Zhu, Zheng

Journal or series: Complex Analysis and its Synergies

ISSN: 2524-7581

eISSN: 2197-120X

Publication year: 2023

Publication date: 13/02/2023

Volume: 9

Issue number: 1

Article number: 4

Publisher: Springer

Publication country: Germany

Publication language: English

DOI: https://doi.org/10.1007/s40627-023-00114-w

Publication open access: Not open

Publication channel open access: 

Abstract

We provide sharp geometric descriptions of boundary singularities in the form of cusps that can be created by a deformation of a hyperelastic body which stores a given bi-Sobolev type energy. Guided by Hookes’ Law, we investigate when the deformed configuration returns to its original shape by applying the inverse deformation with the same finite energy.

Keywords: complex analysis

Free keywords: cusp; Bi-Sobolev homeomorphisms; quasiball

Contributing organizations

Ministry reporting: Yes

VIRTA submission year: 2023

JUFO rating: 1