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Nonresonance below the first eigenvalue for a semilinear elliptic problem

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References

  1. Abdoral, O.: Ph.D. Thesis, Universidade de Brasilia (in preparation)

  2. Anane, A.: Ph.D. Thesis, Université Libre de Bruxelles, 1987

  3. Bandle, C.: Isoperimetric inequalities and applications. London: Pitman 1980

    Google Scholar 

  4. De Figueiredo, D., Gossez, J.-P.: Nonlinear perturbations of a linear elliptic problem near its first eigenvalue. J. Differ. Equations30, 1–19 (1978)

    Google Scholar 

  5. De Figueiredo, D., Gossez, J.-P.: Conditions de non-résonance pour certains problèmes elliptiques semi-linéaires. C.R. Acad. Sc. Paris302, 543–545 (1986)

    Google Scholar 

  6. Gossez, J.-P., Omari, P.: Nonresonance with respect to the Fučik spectrum for periodic solutions of second order ordinary differential equations (to appear)

  7. Hammerstein, A.: Nichtlineare Integralgleichungen nebst Anwendungen. Acta Math.54, 117–176 (1930)

    Google Scholar 

  8. Kawohl, B.: Rearrangements and convexity of level sets in PDE (Lect. Notes Math., Vol. 1150). Berlin-Heidelberg-New York: Springer 1985

    Google Scholar 

  9. Mawhin, J., Ward, J. Jr., Willem, M.: Variational methods and semilinear elliptic equations. Arch. Rat. Mech. Anal.95, 269–277 (1986)

    Google Scholar 

  10. Mossino, J.: Inégalités isopérimétriques et applications en physique. Paris: Herman 1984

    Google Scholar 

  11. Polya, G., Szegö, G.: Isoperimetric inequalities in mathematical physics. Princeton: Princeton University Press 1951

    Google Scholar 

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Part of this work was carried out with the support of the CNP and the FNRS

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De Figueiredo, D.G., Gossez, JP. Nonresonance below the first eigenvalue for a semilinear elliptic problem. Math. Ann. 281, 589–610 (1988). https://doi.org/10.1007/BF01456841

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