Skip to main content

How to remember the Sobolev inequalities

Part of the Lecture Notes in Mathematics book series (LNM,volume 957)

Keywords

  • Sobolev Space
  • Exceptional Case
  • Besov Space
  • SOBOLEV Inequality
  • Interpolation Inequality

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   46.00
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. R. Adams, Sobolev Spaces, Academic Press (1975).

    Google Scholar 

  2. E. Gagliardo, Proprietà di alcune classi di funzioni in piu variabili, Richerche di Mat., Napoli 7 (1958), 102–137.

    MathSciNet  MATH  Google Scholar 

  3. L. Nirenberg, On elliptic partial differential equations (lecture II), Annali della Scuola Norm. Sup.-Pisa, Ser. 3, V. 13 (1959).

    Google Scholar 

  4. L. Nirenberg, An extended interpolation inequality, Annali della Scuola Norm. Sup.-Pisa, Serv. 3, V. 20 (1966), 733–737.

    MathSciNet  MATH  Google Scholar 

  5. R. Palais, Foundations of Global Nonlinear Analysis, W. A. Benjamin, New York (1968).

    MATH  Google Scholar 

  6. E. Stein, Singular Integrals and Differentiability Propenties of Functions, Princeton Univ. Press (1970).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1982 Springer-Verlag

About this paper

Cite this paper

Henry, D.B. (1982). How to remember the Sobolev inequalities. In: Guedes de Figueiredo, D., Hönig, C.S. (eds) Differential Equations. Lecture Notes in Mathematics, vol 957. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0066235

Download citation

  • DOI: https://doi.org/10.1007/BFb0066235

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11951-7

  • Online ISBN: 978-3-540-39539-3

  • eBook Packages: Springer Book Archive