Bi-Sobolev boundary singularities

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish (US)
Article number4
JournalComplex Analysis and its Synergies
Issue number1
StatePublished - Mar 2023


  • Bi-Sobolev homeomorphisms
  • Cusp
  • Quasiball

ASJC Scopus subject areas

  • Analysis
  • Mathematics (miscellaneous)
  • Numerical Analysis


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