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currently I'm using Krylov's book, while consulting Evans (too many details are left out, for my level).

Also, Adams 1975 version has been widely cited.

So besides these ones, which book in your mind would be best for using as a reference that provides complete treatment on Sobolev topics?

Cheers.

P.S: please feel free to move this topic to wiki cite, if necessary.

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    I like *A First Course on Sobolev Spaces* by Giovanni Leoni.2012-05-31
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    @LeonidKovalev The approach is quite different from the rest. As mentioned in the book, it requires less knowledge of functional analysis.2012-06-01
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    Different from Krylov's and Evans' for sure, since these two are PDE books, not Sobolev spaces books. If you like the functional analysis emphasis (interpolation etc), then Adams is the way to go. I prefer calculus to functional analysis, so for me Leoni works better. I also benefited from *Measure Theory...* by Evans and Gariepy, and, to a lesser degree, from *Weakly differentiable functions* by Ziemer. Ultimately, it depends on what you want to learn about Sobolev spaces2012-06-01

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