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I have been searching without success for the reference:

Aubin T.- Espaces de Sobolev sur les varietes Riemanniennes. Bull. Sc. Math. 100, (1976) 149-173

It is cited in many related works. In particular, I cannot find a discussion of Sobolev spaces on Lipschitz subdomains of compact boundaryless Riemannian manifolds. Every result references the above, which is extremely difficult to find.

Does anyone know where to find it?

Thank you

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    $\begingroup$ Ummm... it's not clear what kind of answer you expect. You can look for the journal in which that article was published in the libraries of the universities physically close to you. A Google search makes it clear that it is not available on the internet. Finally, there is the illegal option, that many of us use - but for obvious reasons I shall not state it here. Other than that - what do you hope for? $\endgroup$
    – Alex M.
    Sep 15, 2021 at 16:19
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    $\begingroup$ Looking at the site of the Bull. Sc. Math., the journal has been available in digital format only from 1998. As such, the article that you are looking for does not even have a DOI, therefore getting it in physical format from some library seems the only available option. $\endgroup$
    – Alex M.
    Sep 15, 2021 at 16:38
  • $\begingroup$ I have been looking in University libraries in Zurich and Montreal and could not find it. If someone were to know of a library where I could find it I would contact this library. Also sometimes people have legal copies. $\endgroup$
    – E. Schulz
    Sep 15, 2021 at 16:56
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    $\begingroup$ @E.Schulz: I have a scanned copy of the paper (that I got from the library at my current institution). My email is easy to find. Send me an email and I can send it to you. $\endgroup$ Sep 15, 2021 at 17:22
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    $\begingroup$ I've needed this in the past but never knew this reference. It's pretty straightfoward though, if you don't need a sharp constant. You can use the extension theorem found in Stein's book "Singular Integrals and Differentiability Properties of Functions" on each coordinate patch containing the boundary to extend the function to the full manifold and apply the Sobolev inequality that holds on the compact manifold. $\endgroup$
    – Deane Yang
    Sep 15, 2021 at 17:46

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