Skip to main content
SpringerLink
Log in
Book cover

Bifurcation and Nonlinear Eigenvalue Problems pp 265–282Cite as

Remarks on a non linear equation arising in population genetics

  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 782))

This is a preview of subscription content, 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   59.95
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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. S. AGMON, A. DOUGLIS, L. NIRENBERG, Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions, I. Comm. Pure Appl. Math. 12, (1959), p. 623–727.

    Article  MathSciNet  MATH  Google Scholar 

  2. S. CHOW, J.K. HALE, J. MALLET-PARRET, Applications of generic bifurcation I, Arch. Rat. Mech. Anal. 59, (1975), p. 159–188.

    Article  MATH  Google Scholar 

  3. M. CRANDALL, P.H. RABINOWITZ, Bifurcation from simple eigenvalues, J. Funct. Anal., 8, (1971), p. 321–340.

    Article  MathSciNet  MATH  Google Scholar 

  4. J. DENY, J.L. LIONS, Les espaces du type de Beppo Levi, Ann. Inst. Fourier, 5, (1953–54), p. 305–370.

    Article  MathSciNet  MATH  Google Scholar 

  5. L.A. PELETIER, On a nonlinear diffusion equation arising in population genetics, Proc. 4th Conference on ordinary and partial differential equations at Dundee, Springer Lecture Notes (564), 1976.

    Google Scholar 

  6. L.A. PELETIER, A non linear eigenvalue problem occuring in population genetics, to appear.

    Google Scholar 

  7. W.H. FLEMING, A selection-migration model in population genetics, J. Math. Biol. 2 (1975), p. 219–234.

    Article  MathSciNet  MATH  Google Scholar 

  8. J.L. LIONS, E. MAGENES, Problèmes aux limites non homogènes, I. Dunod, Paris (1968).

    MATH  Google Scholar 

  9. L. NIRENBERG, Topics in non linear functional analysis, Courant Institute, Lecture Notes, (1974).

    Google Scholar 

  10. B. SCHEURER, Exposé N o 8 dans le séminaire d'équations aux dérivées partielles non linéaires, Orsay (1975–1976), Publications Mathématiques d'Orsay No 77-76.

    Google Scholar 

  11. M. SLATKIN, Gene flow and selection in a cline, Genetics 75, (1973), p.733–756.

    MathSciNet  Google Scholar 

  12. E.C. ZEEMAN, The classification of elementary catastrophes of codimension 5, Notes by D.J.A. Trotman, in Structural stability, the theory of catastrophes and applications in the sciences, edited by P. Hilton, Lecture Notes in Mathematics No 525, Springer-Verlag, (1976).

    Google Scholar 

  13. F.C. HOPPENSTEADT, Analysis of a stable polymorphism arising in a selection-migration model in population genetics, J. Math. Biol. 2, (1975) p. 235–240.

    Article  MathSciNet  MATH  Google Scholar 

  14. J.C. SAUT, B. SCHEURER, Remarks on a non linear equation arising in Population genetics, Communications on P.D.E., 3 (10), 1978-p.907–931.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. U.E.R. de Mathématiques, Université Paris VII, 75221, Paris Cedex 05

    J. C. Saut

Authors
  1. J. C. Saut
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

C. Bardos J. M. Lasry M. Schatzman

Rights and permissions

Reprints and permissions

Copyright information

© 1980 Springer-Verlag

About this paper

Cite this paper

Saut, J.C. (1980). Remarks on a non linear equation arising in population genetics. In: Bardos, C., Lasry, J.M., Schatzman, M. (eds) Bifurcation and Nonlinear Eigenvalue Problems. Lecture Notes in Mathematics, vol 782. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0090437

Download citation

  • DOI: https://doi.org/10.1007/BFb0090437

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09758-7

  • Online ISBN: 978-3-540-38637-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation