Skip to main content
SpringerLink
Log in

Nonlinear elliptic problems with critical exponent in shrinking annuli

  • Published:
Mathematische Annalen Aims and scope Submit manuscript

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Atkinson, F.V., Peletier, L.A.: Emden-Fowler equations involving critical exponents. Nonlinear Analy.10, 755–776 (1986)

    Google Scholar 

  2. Atkinson, F.V., Peletier, L.A.: Elliptic equations with nearly ceritical growth. Report Mathematical Institute Leiden No. 27, 1986

  3. Bandle, C., Coffman, C., Marcus, M.: Nonlinear elliptic equations in annular domains. J. Differ. Equations69, 322–345 (1987)

    Google Scholar 

  4. Bandle, C., Peletier, L.A.: Problèmes de Dirichlet non-linéaires dans des anneaux. C.R. Acad. Sci. Paris305, 181–184 (1986)

    Google Scholar 

  5. Brezis, H.: Some variational problems with lack of compactness. Proc. Symp. Pure Math. No. 45, “Nonlinear Funct. Anal. and Appl.”, Part 1, 165–201 (1986)

    Google Scholar 

  6. Brezis, H., Nirenberg, L.: Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents. Comm. Pure Appl. Math. XXXIV, 437–477 (1983)

    Google Scholar 

  7. Coffman, C., Wong, J.S.W.: Oscillation and nonoscillation of solutions of generalized Emden-Fowler equations. Trans. Am. Math. Soc.167, 399–434 (1972)

    Google Scholar 

  8. Coron, J.M.: Topologie et cas limite des injections de Sobolev. C.R. Acad. Sci. Paris299, 209–212 (1984)

    Google Scholar 

  9. Fowler, R.H.: The form near infinity of real continuous solutions of a certain differential equation of the second order. Q. J. Math. (Cambr. Ser.)45, 289–350 (1914)

    Google Scholar 

  10. Fowler, R.H.: Further studies of Emden's and similar differential equations. Q. J. Math. (Oxf. Ser.)2, 259–288 (1931)

    Google Scholar 

  11. Gidas, B., Ni Wei-Ming, Nirenberg, L.: Symmetry and related properties via the maximum principle. Commun. Math. Phys.68, 209–243 (1979)

    Google Scholar 

  12. Kazdan, J., Warner, F.: Remarks on some quasilinear elliptic equations. Comm. Pure Appl. Math. XXVIII, 567–597 (1975)

    Google Scholar 

  13. Nehari, Z.: On a class of second-order differential equations. Trans. Am. Math. Soc.95, 101–123 (1960)

    Google Scholar 

  14. Ni, W.M., Nussbaum, R.: Uniqueness and nonuniqueness of positive radial solutions of Δu+f(r, u)=0. Commun. Pure Appl. Math. XVIII 67–108 (1985)

    Google Scholar 

  15. Pohozaev, S.I.: Eigenfunctions of the equation Δu+f(u)=0. Dokl. Akad. Nauk. SSSR165, 36–39 (1965) (in Russian); Sov. Math.6, 1408–1411 (1965)

    Google Scholar 

  16. Wong, J.S.W.: On the generalized Emden-Fowler equation. SIAM Rev.17, 339–360 (1975)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Mathematical Institute, University of Basel, CH-4051, Basel, Switzerland

    C. Bandle

  2. Mathematical Institute, University of Leiden, NL-2312, Leiden, The Netherlands

    L. A. Peletier

Authors
  1. C. Bandle
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. L. A. Peletier
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bandle, C., Peletier, L.A. Nonlinear elliptic problems with critical exponent in shrinking annuli. Math. Ann. 280, 1–19 (1988). https://doi.org/10.1007/BF01474177

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01474177

Keywords

Search

Navigation