On functions with derivatives in a Lorentz space View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

1999-09

AUTHORS

Janne Kauhanen, Pekka Koskela, Jan Malý

ABSTRACT

We establish a sharp integrability condition on the partial derivatives of a Sobolev mapping to guarantee that sets of measure zero get mapped to sets of measure zero. This condition is sharp also for continuity and differentiability almost everywhere.

PAGES

87-101

References to SciGraph publications

  • 1995-03. An existence theory for nonlinear elasticity that allows for cavitation in ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
  • 1998-10. Sobolev embeddings into BMO, VMO, andL∞ in ARKIV FÖR MATEMATIK
  • Journal

    TITLE

    manuscripta mathematica

    ISSUE

    1

    VOLUME

    100

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s002290050197

    DOI

    http://dx.doi.org/10.1007/s002290050197

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1049664804


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