While a great book about measure theory and real analysis in $\mathbb R^n$, the only downside is the lack of exercises. Can anyone provide a good book to supplement it with exercises? I plan to use it for self study.



Textbook recommendation request: Exercises to supplement Evans and Gariepy
If you look for a generic collection of problems in measure theory and functional analysis, I would highly recommend:


**A. Torchinsky,** *[Problems in real and functional analysis](https://books.google.com/books?id=wB-jCgAAQBAJ).* [Graduate Studies in Mathematics, 166](https://bookstore.ams.org/gsm-166/). American Mathematical Society, Providence, RI, 2015.
([MathSciNet review](https://mathscinet.ams.org/mathscinet/search/publdoc.html?arg3=&co4=AND&co5=AND&co6=AND&co7=AND&dr=all&pg4=AUCN&pg5=TI&pg6=JOUR&pg7=ALLF&pg8=ET&review_format=html&s4=Torchinsky&s5=&s6=&s7=&s8=Books&sort=Newest&vfpref=html&yearRangeFirst=&yearRangeSecond=&yrop=eq&r=1&mx-pid=3443231)).


This is a great collection of problems with complete solutions. 


However, if you are looking more for a collection of problems in geometric measure they and Sobolev spaces, as it is represented in the book by Evans and Gariepy, it is difficult to find one. However, the book


**W. P. Ziemer**, [**Weakly Differentiable Functions**. *Sobolev spaces and functions of bounded variation.*](https://link.springer.com/book/10.1007/978-1-4612-1015-3).
Graduate Texts in Mathematics, 120. Springer-Verlag, New York, 1989.
([MathSciNet review](https://mathscinet.ams.org/mathscinet/search/publdoc.html?arg3=&co4=AND&co5=AND&co6=AND&co7=AND&dr=all&pg4=AUCN&pg5=TI&pg6=CC&pg7=RVCN&pg8=ET&r=1&review_format=html&s4=ziemer&s5=weakly%20differentiable%20functions&s6=&s7=&s8=All&sort=Newest&vfpref=html&yearRangeFirst=&yearRangeSecond=&yrop=eq)).


presents material similar to that in the book by Evans and Gariepy and it includes many exercises. Unfortunately the exercises do not have solutions.


