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
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
R. Adams, Sobolev Spaces, Academic Press (1975).
E. Gagliardo, Proprietà di alcune classi di funzioni in piu variabili, Richerche di Mat., Napoli 7 (1958), 102–137.
L. Nirenberg, On elliptic partial differential equations (lecture II), Annali della Scuola Norm. Sup.-Pisa, Ser. 3, V. 13 (1959).
L. Nirenberg, An extended interpolation inequality, Annali della Scuola Norm. Sup.-Pisa, Serv. 3, V. 20 (1966), 733–737.
R. Palais, Foundations of Global Nonlinear Analysis, W. A. Benjamin, New York (1968).
E. Stein, Singular Integrals and Differentiability Propenties of Functions, Princeton Univ. Press (1970).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights 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
