Topologie et espaces de Sobolev

Haïm Brezis; Yan Yan Li

doi:10.1016/S0764-4442(00)01656-6

Topologie et espaces de Sobolev

Translated title of the contribution: Topology and Sobolev spaces

Haïm Brezis, Yan Yan Li

School of Arts and Sciences, Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

Let M and N be compact manifolds and consider the Sobolev space W^1,p (M, N). Our main concern is to determine whether or not W^1,p (M, N) is path-connected and, if not, what can be said about its path-connected components, i.e., its W^1,p-homotopy classes.

Translated title of the contribution	Topology and Sobolev spaces
Original language	French
Pages (from-to)	365-370
Number of pages	6
Journal	Comptes Rendus de l'Academie des Sciences - Series I: Mathematics
Volume	331
Issue number	5
DOIs	https://doi.org/10.1016/S0764-4442(00)01656-6
State	Published - Sep 1 2000

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.1016/S0764-4442(00)01656-6

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title = "Topologie et espaces de Sobolev",

abstract = "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.",

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N2 - 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.

AB - 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.

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SN - 0764-4442

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JO - Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

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IS - 5

ER -

Topologie et espaces de Sobolev

Abstract

All Science Journal Classification (ASJC) codes

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