Skip to main content
SpringerLink
Log in

Nonresonance near the first eigenvalue of a second order elliptic problem

  • Conference paper
  • First Online:
Partial Differential Equations

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1324))

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 54.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 69.95
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.

Bibliography

  1. H. BREZIS and L. NIRENBERG, Characterizations of the ranges of some nonlinear operators and applications to boundary value problems, Annali Sc.Norm.Sup.Pisa, 5 (1978), 225–326.

    MathSciNet  MATH  Google Scholar 

  2. E. DANCER, On the Dirichlet problem for weakly nonlinear elliptic partial differential equations, Proc.Royal Soc.Edinburgh, 76 (1977), 283–300.

    Article  MathSciNet  MATH  Google Scholar 

  3. C. DOLPH, Nonlinear integral equations of the Hammerstein type, Trans.Amer.Math. Soc., 66 (1949), 289–307.

    Article  MathSciNet  MATH  Google Scholar 

  4. D.DE FIGUEIREDO, Semilinear elliptic equations at resonance; higher eigenvalues and unbounded nonlinearities, in "Recent Advances in Differentiel Equations", Ac.Press 1981, 88–99.

    Google Scholar 

  5. D. DE FIGUEIREDO and H. BERESTYCKI, Double resonance in semilinear elliptic problems, Comm.Part.Diff.Equat., 6 (1981), 91–120.

    Article  MathSciNet  MATH  Google Scholar 

  6. D. DE FIGUEIREDO et J.-P. GOSSEZ, Conditions de non-résonance pour certains problèmes elliptiques semi-linéaires, C.R.Acad.Sc.Paris, 302 (1986), 543–545.

    MATH  Google Scholar 

  7. J. MAWHIN and J. WARD, Non resonance and existence for nonlinear ellpitic boundary value problems, Nonli.Anal., 6 (1981), 677–684.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Département de Mathématique, Université Libre de Bruxelles, Campus de la Plaine C.P.214 Bd du Triomphe, 1050, Bruxelles, Belgique

    Jean-Pierre Gossez

Authors
  1. Jean-Pierre Gossez
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Fernando Cardoso Djairo G. de Figueiredo Rafael Iório Orlando Lopes

Rights and permissions

Reprints and permissions

Copyright information

© 1988 Springer-Verlag

About this paper

Cite this paper

Gossez, JP. (1988). Nonresonance near the first eigenvalue of a second order elliptic problem. In: Cardoso, F., de Figueiredo, D.G., Iório, R., Lopes, O. (eds) Partial Differential Equations. Lecture Notes in Mathematics, vol 1324. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0100785

Download citation

  • DOI: https://doi.org/10.1007/BFb0100785

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50111-4

  • Online ISBN: 978-3-540-45928-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation