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Sobolev Spaces

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Cover of 'Sobolev Spaces'

Table of Contents

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    Book Overview
  2. Altmetric Badge
    Chapter 1 Basic Properties of Sobolev Spaces
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    Chapter 2 Inequalities for Functions Vanishing at the Boundary
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    Chapter 3 Conductor and Capacitary Inequalities with Applications to Sobolev-Type Embeddings
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    Chapter 4 Generalizations for Functions on Manifolds and Topological Spaces
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    Chapter 5 Integrability of Functions in the Space $L^{1}_{1}(\varOmega )$
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    Chapter 6 Integrability of Functions in the Space $L^{1}_{p}(\varOmega )$
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    Chapter 7 Continuity and Boundedness of Functions in Sobolev Spaces
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    Chapter 8 Localization Moduli of Sobolev Embeddings for General Domains
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    Chapter 9 Space of Functions of Bounded Variation
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    Chapter 10 Certain Function Spaces, Capacities, and Potentials
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    Chapter 11 Capacitary and Trace Inequalities for Functions in ℝ n with Derivatives of an Arbitrary Order
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    Chapter 12 Pointwise Interpolation Inequalities for Derivatives and Potentials
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    Chapter 13 A Variant of Capacity
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    Chapter 14 Integral Inequality for Functions on a Cube
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    Chapter 15 Embedding of the Space $\mathaccent"7017{L}^{l}_{p}(\varOmega)$ into Other Function Spaces
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    Chapter 16 Embedding $\mathaccent "7017{L}^{l}_{p}(\varOmega, \nu) \subset W^{m}_{r}(\varOmega)$
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    Chapter 17 Approximation in Weighted Sobolev Spaces
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    Chapter 18 Spectrum of the Schrödinger Operator and the Dirichlet Laplacian
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Title
Sobolev Spaces
Published by
Springer Berlin Heidelberg, February 2011
DOI 10.1007/978-3-642-15564-2
ISBNs
978-3-64-215563-5, 978-3-64-215564-2
Authors

Maz'ya, Vladimir

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Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 42 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 42 100%

Demographic breakdown

Readers by professional status Count As %
Researcher 1 2%
Student > Postgraduate 1 2%
Unknown 40 95%
Readers by discipline Count As %
Mathematics 2 5%
Unknown 40 95%