Skip to main content
SpringerLink
Log in

Multiple solutions of some asymptotically linear elliptic boundary value problems

  • Conference paper
  • First Online:
Book cover Equadiff IV

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 703))

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 59.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. A. Ambrosetti, P. Hess: Publication to appear.

    Google Scholar 

  2. P. Hess: Nonlinear perturbations of linear elliptic and parabolic problems at resonance: existence of multiple solutions. To appear in Ann. Scuola Norm. Sup. Pisa.

    Google Scholar 

  3. H. Amann, T. Laetsch: Positive solutions of convex nonlinear eigenvalue problems. Indiana Univ. Math. J. 25, 259–270 (1976).

    Article  MathSciNet  MATH  Google Scholar 

  4. H. Amann: Nonlinear eigenvalue problems having precisely two solutions. Math. Z. 150, 27–37 (1976).

    Article  MathSciNet  MATH  Google Scholar 

  5. A. Ambrosetti: On the exact number of positive solutions of convex nonlinear problems. To appear.

    Google Scholar 

  6. K.J. Brown, H. Budin: Multiple positive solutions for a class of nonlinear boundary value problems. J. Math. Anal. Appl. 60, 329–338 (1977).

    Article  MathSciNet  MATH  Google Scholar 

  7. E.M. Landesman, A.C. Lazer: Nonlinear perturbations of linear elliptic boundary value problems at resonance. J. Math. Mech. 19, 609–623 (1970).

    MathSciNet  MATH  Google Scholar 

  8. S.A. Williams: A sharp sufficient condition for solution of a nonlinear elliptic boundary value problem. J. Differential Equations 8, 580–586 (1970).

    Article  MathSciNet  MATH  Google Scholar 

  9. J. Nečas: On the range of nonlinear operators with linear asymptotes which are not invertible. Comment. Math. Univ. Carolinae 14, 63–72 (1973).

    MathSciNet  MATH  Google Scholar 

  10. P. Hess: On a theorem by Landesman and Lazer. Indiana Univ. Math. J. 23, 827–829 (1974).

    Article  MathSciNet  MATH  Google Scholar 

  11. S. Fučik, M. Kučera, J. Nečas: Ranges of nonlinear asymptotically linear operators. J. Differential Equations 17, 375–394 (1975).

    Article  MathSciNet  MATH  Google Scholar 

  12. H. Brézis, L. Nirenberg: Characterizations of the ranges of some nonlinear operators and applications to boundary value problems. To appear in Ann. Scuola Norm. Sup. Pisa.

    Google Scholar 

  13. S. Fučik, P. Hess: Publication to appear.

    Google Scholar 

  14. A. Ambrosetti, G. Mancini: Existence and multiplicity results for nonlinear elliptic problems with linear part at resonance. To appear in J. Differential Equations.

    Google Scholar 

  15. A. Ambrosetti, G. Mancini: Theorems of existence and multiplicity for nonlinear elliptic problems with noninvertible linear part. To appear in Ann. Scuola Norm. Sup. Pisa.

    Google Scholar 

Download references

Author information

Authors and Affiliations

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

    P. Hess

Authors
  1. P. Hess
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Jiří Fábera

Rights and permissions

Reprints and permissions

Copyright information

© 1979 Spring-Verlag

About this paper

Cite this paper

Hess, P. (1979). Multiple solutions of some asymptotically linear elliptic boundary value problems. In: Fábera, J. (eds) Equadiff IV. Lecture Notes in Mathematics, vol 703. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0067267

Download citation

  • DOI: https://doi.org/10.1007/BFb0067267

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09116-5

  • Online ISBN: 978-3-540-35519-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation