Topologie et espaces de Sobolev

Translated title of the contribution: Topology and Sobolev spaces

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Let M and N be compact manifolds and consider the Sobolev space W1,p (M, N). Our main concern is to determine whether or not W1,p (M, N) is path-connected and, if not, what can be said about its path-connected components, i.e., its W1,p-homotopy classes.

Translated title of the contributionTopology and Sobolev spaces
Original languageFrench
Pages (from-to)365-370
Number of pages6
JournalComptes Rendus de l'Academie des Sciences - Series I: Mathematics
Issue number5
StatePublished - Sep 1 2000

All Science Journal Classification (ASJC) codes

  • Mathematics(all)


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