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1

Maz'ya, Vladimir. Sobolev Spaces. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-15564-2.

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2

Maz’ja, Vladimir G. Sobolev Spaces. Berlin, Heidelberg: Springer Berlin Heidelberg, 1985. http://dx.doi.org/10.1007/978-3-662-09922-3.

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3

Kufner, Alois. Weighted Sobolev spaces. Chichester: Wiley, 1985.

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4

Mazʹi︠a︡, V. G. Sobolev spaces in mathematics. New York: Springer, 2009.

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5

Burenkov, Victor I. Sobolev Spaces on Domains. Wiesbaden: Vieweg+Teubner Verlag, 1998. http://dx.doi.org/10.1007/978-3-663-11374-4.

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6

Burenkov, Victor I. Sobolev spaces on domains. Stuttgart: B.G. Teubner, 1998.

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7

G, Mazʹi︠a︡ V., and Isakov Victor 1947-, eds. Sobolev spaces in mathematics. New York: Springer, 2009.

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8

G, Mazʹi︠a︡ V., and Isakov Victor 1947-, eds. Sobolev spaces in mathematics. New York: Springer, 2009.

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9

Hebey, Emmanuel. Sobolev Spaces on Riemannian Manifolds. Berlin, Heidelberg: Springer Berlin Heidelberg, 1996. http://dx.doi.org/10.1007/bfb0092907.

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10

Maz’ya, Vladimir, ed. Sobolev Spaces In Mathematics I. New York, NY: Springer New York, 2009. http://dx.doi.org/10.1007/978-0-387-85648-3.

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11

Maz'ya, Vladimir, ed. Sobolev Spaces in Mathematics II. New York, NY: Springer New York, 2009. http://dx.doi.org/10.1007/978-0-387-85650-6.

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12

Isakov, Victor, ed. Sobolev Spaces in Mathematics III. New York, NY: Springer New York, 2009. http://dx.doi.org/10.1007/978-0-387-85652-0.

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13

Gol’dshtein, V. M., and Yu G. Reshetnyak. Quasiconformal Mappings and Sobolev Spaces. Dordrecht: Springer Netherlands, 1990. http://dx.doi.org/10.1007/978-94-009-1922-8.

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14

Guillermou, Stéphane. Subanalytic sheaves and Sobolev spaces. Paris: Société mathématique de France, 2016.

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15

Hans, Triebel, ed. Distributions, Sobolev spaces, elliptic equations. Zürich, Switzerland: European Mathematical Society, 2007.

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16

author, Triebel Hans, ed. Distributions, Sobolev Spaces, Elliptic Equations. Zuerich, Switzerland: European Mathematical Society Publishing House, 2007.

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17

Hebey, Emmanuel. Sobolev spaces on Riemannian manifolds. Berlin: Springer-Verlag, 1996.

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18

Grigorʹevich, Reshetni͡a︡k I͡U︡riĭ, ed. Quasiconformal mappings and Sobolev spaces. Dordrecht: Kluwer Academic Publishers, 1990.

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19

D, Bahuguna, Raghavendra V, and Kumar B. V. Rathish, eds. Topics in Sobolev spaces and applications. New Delhi: Narosa Pub. House, 2002.

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20

Kutner, Alois, and Anna-Margarete Sändig. Some Applications of Weighted Sobolev Spaces. Wiesbaden: Vieweg+Teubner Verlag, 1987. http://dx.doi.org/10.1007/978-3-663-11385-0.

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21

Kufner, Alois. Some applications of weighted Sobolev spaces. Leipzig: B.G. Teubner, 1987.

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22

Mazʹi︠a︡, V. G. Prostranstva S.L. Soboleva. Leningrad: Izd-vo Leningradskogo universiteta, 1985.

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23

Mazʹi͡a, V. G. Prostranstva S.L. Soboleva. Leningrad: Izd-vo Leningradskogo universiteta, 1985.

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24

Reshetni︠a︡k, I︠U︡ G., and S. K. Vodopʹi︠a︡nov. Prostranstva Soboleva i smezhnye voprosy analiza. Novosibirsk: Izd-vo In-ta matematiki, 1996.

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25

Hajłasz, Piotr. Sobolev met Poincaré. Providence, RI: American Mathematical Society, 2000.

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26

Anastassiou, George A. Inequalities based on Sobolev representations. New York: Springer, 2011.

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27

Turesson, Bengt Ove. Nonlinear Potential Theory and Weighted Sobolev Spaces. Berlin, Heidelberg: Springer Berlin Heidelberg, 2000. http://dx.doi.org/10.1007/bfb0103908.

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28

Diening, Lars, Petteri Harjulehto, Peter Hästö, and Michael Ruzicka. Lebesgue and Sobolev Spaces with Variable Exponents. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-18363-8.

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29

Petteri, Harjulehto, Hästö Peter, Růžička Michael 1964-, and SpringerLink (Online service), eds. Lebesgue and Sobolev Spaces with Variable Exponents. Berlin, Heidelberg: Springer-Verlag Berlin Heidelberg, 2011.

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30

Bobkov, Serguei G. Some connections between isoperimetric and Sobolev-type inequalities. Providence, R.I: American Mathematical Society, 1997.

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31

Dachun, Yang, ed. New characterizations and applications of inhomogeneous Besov and Triebel-Lizorkin spaces on homogeneous type spaces and fractals. Warszawa: Polska Akademia Nauk, Instytut Matematyczny, 2002.

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32

Brezis, Haim. Functional Analysis, Sobolev Spaces and Partial Differential Equations. New York, NY: Springer New York, 2010. http://dx.doi.org/10.1007/978-0-387-70914-7.

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33

Hebey, Emmanuel. Nonlinear analysis on manifolds: Sobolev spaces and inequalities. New York: Courant Institute of Mathematical Sciences, New York University, 1999.

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34

Pedregal, Pablo. Functional Analysis, Sobolev Spaces, and Calculus of Variations. Cham: Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-49246-4.

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35

Rissanen, Juha. Wavelets on self-similar sets and the structure of the spaces M1,p(E,mu). Helsinki: Suomalainen Tiedeakatemia, 2002.

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36

Pokhozhaev, S. I., O. V. Besov, and S. M. Nikolʹskiĭ. Funkt︠s︡ionalʹnye prostranstva, priblizhenii︠a︡, different︠s︡ialʹnye uravnenii︠a︡: Sbornik stateĭ : k 70-letii︠u︡ so dni︠a︡ rozhdeniii︠a︡ chlena-korrespondenta RAN Olega Vladimirovicha Besova. Moskva: "Nauka," MAIK "Nauka/Interperiodika", 2003.

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37

Edmunds, D. E., and W. D. Evans. Sobolev Spaces. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198812050.003.0005.

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This chapter presents a selection of some of the most important results in the theory of Sobolev spacesn. Special emphasis is placed on embedding theorems and the question as to whether an embedding map is compact or not. Some results concerning the k-set contraction nature of certain embedding maps are given, for both bounded and unbounded space domains: also the approximation numbers of embedding maps are estimated and these estimates used to classify the embeddings.
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38

Sobolev Spaces. Elsevier, 2003. http://dx.doi.org/10.1016/s0079-8169(03)x8001-0.

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39

Saposnikova, T. O., and Vladimir Maz'ya. Sobolev Spaces. Springer London, Limited, 2013.

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40

Fournier, John J. F., and Robert A. Adams. Sobolev Spaces. Elsevier Science & Technology Books, 2003.

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41

Sobolev spaces. Berlin: Springer-Verlag, 1985.

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42

Baver, Erhan Piskin;. Introduction to Sobolev Spaces. Bentham Science Publishers, 2021.

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43

Simon, Jacques. Lebesgue and Sobolev Spaces. Wiley & Sons, Incorporated, John, 2017.

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44

Okutmustur, Baver, and Erhan Piskin. Introduction to Sobolev Spaces. Bentham Science Publishers, 2021.

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45

Simon, Jacques. Lebesgue and Sobolev Spaces. Wiley & Sons, Incorporated, John, 2023.

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46

Baver, Erhan Piskin;. Introduction to Sobolev Spaces. Bentham Science Publishers, 2021.

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47

Burenkov, Victor I. Sobolev Spaces on Domains. Vieweg Verlag, Friedr, & Sohn Verlagsgesellschaft mbH, 2013.

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48

Koskela, Pekka, Jeremy T. Tyson, Nageswari Shanmugalingam, and Juha Heinonen. Sobolev Spaces on Metric Measure Spaces. Cambridge University Press, 2015.

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49

Sobolev Spaces in Mathematics I: Sobolev Type Inequalities. Springer London, Limited, 2009.

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50

Maz'ya, Vladimir. Sobolev Spaces in Mathematics I: Sobolev Type Inequalities. Springer, 2010.

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