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Sobolev embeddings

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Part of the Lecture Notes in Mathematics book series (LNM,volume 448)

Keywords

  • Sobolev Space
  • Unbounded Domain
  • Orlicz Space
  • Cone Condition
  • Orlicz Function

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References

  1. R. A. Adams, Capacity and compact imbeddings, J. Math. Mech. 19 (10) (1970), 923–929.

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  2. R. A. Adams and J. Fournier, Some imbedding theorems for Sobolev spaces, Can. J. Math. XXIII, (3) (1971), 517–530.

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  3. M. S. Berger and M. Schechter, Embedding theorems and quasilinear boundary value problems for unbounded domains, Trans. Am. Math. Soc. 172 (1973), 261.

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  4. T. Donaldson, Nonlinear elliptic boundary-value problems in Orlicz-Sobolev spaces, J. Diff. Equat. 10 (1971), 507–528.

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  5. T. Donaldson and N. S. Trudinger, Orlicz-Sobolev spaces and imbedding theorems, J. Funct. Anal. 8 (1971), 52–75.

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  6. D. E. Edmunds and W. D. Evans, Elliptic and degenerate elliptic operators in unbounded domains (to appear).

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  7. D. E. Edmunds and W. D. Evans, Sobolev spaces and Orlicz spaces in unbounded domains (to appear).

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  8. J. P. Gosset, Nonlinear elliptic boundary-value problems for equations with rapidly increasing coefficients (to appear).

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  9. M. Krasnoselskii and Y. B. Rutickii, Convex functions and Orlicz spaces, Noordhoff (Groningen, 1961).

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  10. N. S. Trudinger, On imbeddings into Orlicz spaces and some applications, J. Math. Mech. 17 (1967) 473–484.

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© 1975 Springer-Verlag

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Evans, W.D. (1975). Sobolev embeddings. In: Everitt, W.N. (eds) Spectral Theory and Differential Equations. Lecture Notes in Mathematics, vol 448. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0067084

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  • DOI: https://doi.org/10.1007/BFb0067084

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07150-1

  • Online ISBN: 978-3-540-37444-2

  • eBook Packages: Springer Book Archive