Composition operators on sobolev spaces and ball’s classes

Vladimir Gol’Dshtein, Alexander Ukhlov

Research output: Contribution to journalArticlepeer-review

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 languageAmerican English
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

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics
  • Control and Optimization

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