Skip to main content

On a property of orlicz-sobolev spaces

Part of the Lecture Notes in Mathematics book series (LNM,volume 1107)

Keywords

  • Sobolev Space
  • Approximation Property
  • Orlicz Space
  • Nonlinear Elliptic Problem
  • Linear Elliptic Equation

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, Ac. Press., New York, 1975.

    MATH  Google Scholar 

  2. H. BREZIS and F. BROWDER, Sur une propriété des espaces de Sobolev C.R.Ac. Sc. Paris, 287 (1978), 113–115.

    MathSciNet  MATH  Google Scholar 

  3. H. BREZIS and F. BROWDER, A property of Sobolev spaces, Com. Part. Diff. Eq. 9 (1979),1077–1083.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. H. BREZIS and F. BROWDER, Some properties of higher order Sobolev spaces, J. Math. Pures Appl., 61 (1982), 245–259.

    MathSciNet  MATH  Google Scholar 

  5. J.P. GOSSEZ, Nonlinear elliptic boundary value problem for equations with rapidly (or slowly) increasing coefficients, Trans. Amer. Math. Soc., 190 (1974), 163–205.

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. J.P. GOSSEZ, Some approximation properties in Orlicz-Sobolev spaces, Studia Mat., 74 (1982), 17–24.

    MathSciNet  MATH  Google Scholar 

  7. J.P. GOSSEZ, Strongly nonlinear elliptic problems in Orlicz-Sobolev spaces of order one, Cah. Cent. Et. Rech. Oper., 24(1982), 221–228.

    MathSciNet  MATH  Google Scholar 

  8. L. HEDBERG, Two approximation properties in function spaces, Ark. Mat., 16 (1978),51–81.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. A. KUFNER, O. JOHN and S. FUCIK, Function spaces, Academia, Praha, 1977.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1984 Springer-Verlag

About this paper

Cite this paper

Gossez, J.P. (1984). On a property of orlicz-sobolev spaces. In: Vinti, C. (eds) Nonlinear Analysis and Optimization. Lecture Notes in Mathematics, vol 1107. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0101495

Download citation

  • DOI: https://doi.org/10.1007/BFb0101495

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13903-4

  • Online ISBN: 978-3-540-39123-4

  • eBook Packages: Springer Book Archive