Injectivity almost everywhere and mappings with finite distortion in nonlinear elasticity

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2 Citations (Scopus)

Abstract

We show that a sufficient condition for the weak limit of a sequence of Wq1-homeomorphisms with finite distortion to be almost everywhere injective for q≥ n- 1 , can be stated by means of composition operators. Applying this result, we study nonlinear elasticity problems with respect to these new classes of mappings. Furthermore, we impose loose growth conditions on the stored-energy function for the class of Wn1-homeomorphisms with finite distortion and integrable inner as well as outer distortion coefficients.

Original languageEnglish
Article number17
Number of pages25
JournalCalculus of Variations and Partial Differential Equations
Volume59
Issue number1
DOIs
Publication statusPublished - 1 Feb 2020

Keywords

  • VARIATIONAL-PROBLEMS
  • DEFORMATIONS
  • INVERTIBILITY
  • REGULARITY
  • EXISTENCE
  • CONVERGENCE
  • INVERSE
  • THEOREM
  • SPACES
  • LIMIT

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