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Branching points for a class of variational operators

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References

  1. A. Ambrosetti and G. Prodi,A Primer of Nonlinear Analysis, Cambridge Studies in Advanced Math.34, Cambridge Univ. Press, 1993.

  2. R. Böhme,Die Lösung der Verzweigungsgleichungen für nichtlineare Eigenvertprobleme, Math. Z.128(1972), 105–126.

    Article  Google Scholar 

  3. S.-N. Chow and R. Lauterbach,A bifurcation theorem for critical points of variational problems, Nonlinear Anal.12 (1988), 51–61.

    Article  MATH  MathSciNet  Google Scholar 

  4. C. V. Coffman, R. J. Duffin and H. Shaffer,The fundamental mode of vibration of a clamped annular plate is not of one sign, inConstructive Approaches to Mathematical Models (C. V. Coffman and G. J. Fix, eds.), Academic Press, New York, 1979.

    Google Scholar 

  5. I. Fonseca and W. Gangbo,Degree Theory in Analysis and Applications, Oxford Univ. Press, New York, 1995.

    MATH  Google Scholar 

  6. H. Kielhöfer,A bifurcation theorem forpotential operators, J. Funct. Anal.77 (1988), 1–8.

    Article  MATH  MathSciNet  Google Scholar 

  7. M. A. Krasnoselski,Topological Methods in the Theory of Nonlinear Integral Equations, Macmillan, New York, 1964.

    Google Scholar 

  8. A. Marino,La biforcazione nel caso variazionale, Confer. Sem. Mat. Univ. Bari132 (1973).

  9. A. Marino and G. Prodi,La teoria di Morse per gli spazi di Hilbert, Rend. Sem. Mat. Univ. Padova41 (1968), 43–68.

    MathSciNet  Google Scholar 

  10. G. Prodi,Problemi di diramazione per equazioni funzionali, Boll. Un. Mat. Ital.22 (1967), 413–433.

    MATH  MathSciNet  Google Scholar 

  11. P. H. Rabinowitz,Some global results on nonlinear eigenvalue problems, J. Funct. Anal.7 (1971), 487–513.

    Article  MATH  MathSciNet  Google Scholar 

  12. P. H. Rabinowitz,A bifurcation theorem for potential operators, J. Funct. Anal.25 (1977), 412–424.

    Article  MATH  MathSciNet  Google Scholar 

  13. C. Stuart,An Introduction to Bifurcation Theory Based on Differential Calculus, Research Notes in Math. No. 39, Pitman, London, 1979, pp. 76–132.

    Google Scholar 

  14. G. T. Wyburn,Topological Analysis, Princeton Univ. Press, 1955.

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Supported by M.U.R.S.T. and by E.E.C. contract no. ERBCHRXCT940494.

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Ambrosetti, A. Branching points for a class of variational operators. J. Anal. Math. 76, 321–335 (1998). https://doi.org/10.1007/BF02786940

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  • DOI: https://doi.org/10.1007/BF02786940

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