Necessary and sufficient conditions for the chain rule in Wloc1,1(RN; Rd) and BVloc(RN; Rd)

• Autores: Giovanni Leoni, Massimiliano Morini
• Localización: Journal of the European Mathematical Society, ISSN 1435-9855, Vol. 9, Nº 2, 2007, págs. 219-252
• Idioma: inglés
• DOI: 10.4171/jems/78
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• Resumen

  • In this paper we prove necessary and sufficient conditions for the validity of the classical chain rule in Sobolev spaces and in the space of functions of bounded variation.