Skip to main content
SpringerLink
Log in

On positive solutions of a linear elliptic eigenvalue problem with neumann boundary conditions

  • 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. Amann, H.: Nonlinear elliptic equations with nonlinear boundary conditions. In: New developments in differential equations. Eckhaus, W., ed. Math. Studies, Vol. 21. Amsterdam North-Holland 1976

    Google Scholar 

  2. Bôcher, M.: The smallest characteristic numbers in a certain exceptional case. Bull. Am. Math. Soc.21, 6–9 (1914)

    Google Scholar 

  3. Brown, K.J., Lin, S.S.: On the existence of positive eigenfunctions for an eigenvalue problem with indefinite weight function. J. Math. Anal. Appl.75, 112–120 (1980)

    Google Scholar 

  4. Crandall, M.G., Rabinowitz, P.H.: Bifurcation, perturbation of simple eigenvalues, and linearized stability. Arch. Rat. Mech. Anal52, 161–180 (1973)

    Google Scholar 

  5. Hess, P.: An anti-maximum principle for linear elliptic equations with an indefinite weight function. J. Differential Equations41, 369–374 (1981)

    Article  Google Scholar 

  6. Hess, P.: On the principal eigenvalue of a second order linear elliptic problem with an indefinite weight function. Math. Z. (to appear)

  7. Hess, P., Kato, T.: On some linear and nonlinear eigenvalue problems with an indefinite weight function. Comm. Partial Differential Equations5, 999–1030 (1980)

    Google Scholar 

  8. Krein, M.G., Rutman, M.A.: Linear operators leaving invariant a cone in a Banach space. Am. Math. Soc. Transl.10, 199–325 (1962)

    Google Scholar 

  9. Picone, M.: Sui valori eccezionali di un parametro. Ann. Scuola Norm. Sup. Pisa11, 1–143 (1910)

    Google Scholar 

  10. Saut, J.C., Scheurer, B.: Remarks on a non linear equation arising in population genetics. Comm. Partial Differential Equations3, 907–931 (1978)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Mathematics Institute, University of Zürich, Freiestrasse 36, CH-8032, Zürich, Switzerland

    Stefan Senn & Peter Hess

Authors
  1. Stefan Senn
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Peter Hess
    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

Senn, S., Hess, P. On positive solutions of a linear elliptic eigenvalue problem with neumann boundary conditions. Math. Ann. 258, 459–470 (1982). https://doi.org/10.1007/BF01453979

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01453979

Keywords

Search

Navigation