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math.CADec 12, 2008
15
citations (OpenAlex)
authors
  • Leonid V. Kovalev
  • Jani Onninen
institutions
  • Syracuse University
arXiv abstractPDF
paper

On Invertibility of Sobolev Mappings

arXiv:0812.2350 · doi:10.1515/CRELLE.2011.038

Abstract

We prove local and global invertibility of Sobolev solutions of certain differential inclusions which prevent the differential matrix from having negative eigenvalues. Our results are new even for quasiregular mappings in two dimensions.

Cited by in corpus (2)

  • Existence of energy-minimal diffeomorphisms between doubly connected domains
  • Variability of paths and differential equations with BV-coefficients
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