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A First Course in Sobolev Spaces
Giovanni Leoni 
Publication Year: 2009
ISBN-10: 0-8218-4768-6
ISBN-13: 978-0-8218-4768-8
Graduate Studies in Mathematics, vol. 105


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Corrections and Improvements as a PDF file.  Posted 14-November-2014

Dedication page as a PDF file. Posted 24-September-2009. [10 KB]

An extension of the Sobolev--Gagliardo--Nirenberg theorem as a PDF file.  Posted 05-August-2009. [109 KB]

Traces of functions in W^{k,p}(Half space) as a PDF file.  Posted 24-September-2009. [115 KB]

Higher order Besov spaces as a PDF file.  Posted 24-September-2009. [228 KB]

An alternative proof of Proposition 16.21 as a PDF file.  Posted 30-June-2011.  [81 KB] 

Riesz potentials and embedding theorems as a PDF file.  Posted 13-May-2010.  [155 KB]

Interpolation for intermediate derivatives as a PDF file.  Posted 29-July-2010.  [144 KB]

A simpler proof of Theorem 10.29 as a PDF file. Posted 09-August-2012 [75 KB]

Yet another proof of Theorem 1.21 as a PDF file. Posted 11-October-2012 [78 KB]

An alternative proof of Theorem 3.30 as a PDF file. Posted 11-October-2012 [87 KB]

An alternative proof of Theorem 7.2 as a PDF file. Posted 11-October-2012 [73 KB]

A simpler proof of Theorem 11.51 as a PDF file. Posted 08-November-2012 [65 KB]

On Theorems  11.23 and 11.29 as a PDF file. Posted 01-February-2013.  [89 KB]

On Theorem  10.35 as a PDF file.  Posted 09-October-2014

Extension of higher order Sobolev functions as a PDF file.  Posted 09-October-2014

A simpler proof of Theorem C.19 as a PDF file.  Posted 09-October-2014

A simpler proof of Theorem  15.8 (iii) as a PDF file.  Posted 14-November-2014


 


Reviews

From Math Reviews: as PDF [62 KB], as active link

From Zentralblatt: as PDF [60 KB], as active link

From the MAA:  as PDF [36 KB], as active link