Composition operators on sobolev spaces and ball’s classes

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

In this paper we study composition operators on Sobolev spaces in the context of nonlinear elasticity problems. On this base we obtain the measure distortion estimates and the capacity distortion estimates of mappings of Ball’s classes.

Original languageEnglish
Pages (from-to)93-109
Number of pages17
JournalPure and Applied Functional Analysis
Volume9
Issue number1
StatePublished - 1 Jan 2024

Keywords

  • Nonlinear elasticity
  • Quasiconformal mappings
  • Sobolev spaces

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics
  • Control and Optimization

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