Skip to main content
SpringerLink
Log in

Morse index estimates in min-max theorems

  • Published:
manuscripta mathematica 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. BAHRI A., LIONS P.L.: Remarques sur la theorie variationnelle des points critiques et applications.C. R. Acad. Sc. Paris 301 (1985), 145–147

    Google Scholar 

  2. BENCI V.: Some applications of the generalized Morse-Conley index. Conf. Sem. Mat. Univ. Bari, 1987

  3. CAPOZZI A., LUPO D., SOLIMINI S.: On the existence of a nontrivial solution to nonlinear problems at resonance with lack of compacness. Preprint Univ. di Bari, 1987

  4. CERAMI G., SOLIMINI S. and STRUWE M.: Some existence results for superlinear elliptic boundary value problems involving critical exponents.Jour. of Func. An. 69 (1986), 289–306

    Google Scholar 

  5. DANCER E.N.: preprint

  6. EKELAND I.: Non convex minimization problems.Bull. AMS 1 (1979), 443–473

    Google Scholar 

  7. LAZER A., SOLIMINI S.: Nontrivial solutions of operator equations and Morse indices of critical points of min-max type.Nonlin. An. TMA 12 (1988), 761–775

    Google Scholar 

  8. LUPO D., SOLIMINI S.: A note on a resonance problem.Proc. of the Royal Soc. of Edinburgh 117 A (1986), 1–7

    Google Scholar 

  9. MARINO A., PRODI G.: Metodi perturbativi nella teoria di Morse.Boll. Un. Ital. 11 (1975), 1–32

    Google Scholar 

  10. RABINOWITZ P. H.: Some minimax theorems and applications to nonlinear partial differential equations.Nonlinear Analysis: a collection of papers in honor of Erich H. Rothe, 161–177,L. Cesari,R. Kannan,H. F. Weinberger editors.Academic Press, 1978

  11. SMALE S.: An infinite dimensional version of Sard's theorem.Amer. J. Math. 87 (1965), 861–866

    Google Scholar 

  12. SOLIMINI S.: On the solvability of some elliptic partial differential equations with linear part at resonance.Jour. of Math. An. App. 117 (1986), 138–152

    Google Scholar 

  13. SOLIMINI S., TERRACINI S.: In preparation

  14. VITERBO C.: Indice de Morse des points critiques obtenus par minimax.Ann. Inst. H.Poincaré 5 (1988), 221–225

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. SISSA, Strada Costiera 11, 34014, Trieste, Italy

    Sergio Solimini

Authors
  1. Sergio Solimini
    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

Solimini, S. Morse index estimates in min-max theorems. Manuscripta Math 63, 421–453 (1989). https://doi.org/10.1007/BF01171757

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01171757

Keywords

Search

Navigation