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How to remember the Sobolev inequalities

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Differential Equations

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

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References

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

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

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

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

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

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

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Author information

Authors and Affiliations

  1. Instituto de Matemática e Estatística, Universidade de São Paulo, São Paulo, SP, Brazil

    Daniel B. Henry

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  1. Daniel B. Henry
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Djairo Guedes de Figueiredo Chaim Samuel Hönig

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© 1982 Springer-Verlag

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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

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

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11951-7

  • Online ISBN: 978-3-540-39539-3

  • eBook Packages: Springer Book Archive

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