Skip to main content
Log in

Eigenvalue asymptotics for almost flat compact hypersurfaces

  • Mathematics
  • Published:
Doklady Mathematics Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. M. Abreu and P. Freitas, Proc. London Math. Soc. 84, 213–230 (2002).

    Article  MathSciNet  MATH  Google Scholar 

  2. D. Borisov and P. Freitas, Ann. Inst. H. Poincaré Anal. Non Linéaire 26, 547–560 (2009).

    Article  MathSciNet  MATH  Google Scholar 

  3. D. Borisov and P. Freitas, J. Funct. Anal. 258, 893–912 (2010).

    Article  MathSciNet  MATH  Google Scholar 

  4. B. Colbois, E. Dryden, and A. El Soufi, Math. Z. 258(1), 29–41 (2008).

    Article  MathSciNet  MATH  Google Scholar 

  5. P. Freitas, J. Funct. Anal. 251(1), 376–398 (2007).

    Article  MathSciNet  MATH  Google Scholar 

  6. L. Friedlander and M. Solomyak, Israel J. Mat. 170(1), 337–354.

  7. M. Sh. Birman and M. Z. Solomyak, Spectral Theory of Self-Adjoint Operators in Hilbert Space (Leningrad. Gos. Univ., Leningrad, 1980; Reidel, New York, 1986).

    Google Scholar 

  8. A. M. Il’in, Matching of Asymptotic Expansions of Solutions of Boundary Value Problems (Nauka, Moscow, 1989; Am. Math. Soc., RI, Providence, 1992).

    MATH  Google Scholar 

  9. S. A. Nazarov, Asymptotic Theory of Plates and Rods: Dimension Reduction and Integral Estimates (Nauchn. Kniga, Novosibirsk, 2002) [in Russian].

    Google Scholar 

  10. M. C. Reed and B. Simon, Methods of Modern Mathematical Physics, Vol. 1: Functional Analysis (Academic, New York, 1972; Mir, Moscow, 1977).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to D. I. Borisov.

Additional information

Original Russian Text © D.I. Borisov, P. Freitas, 2012, published in Doklady Akademii Nauk, 2012, Vol. 442, No. 2, pp. 151–155.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Borisov, D.I., Freitas, P. Eigenvalue asymptotics for almost flat compact hypersurfaces. Dokl. Math. 85, 18–22 (2012). https://doi.org/10.1134/S1064562412010085

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1064562412010085

Keywords

Navigation