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Landesman-Lazer-alternative theorems for a class of nonlinear functional equations

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References

  1. Frehse, J.: An existence theorem for a class of non-coercive optimization and variational problems. Math. Z.159, 51–63 (1978)

    Google Scholar 

  2. Frehse, J.: Solvability and alternative theorems for a class of non-linear functional equations in Banach spaces. Arkiv för Matematik

  3. Frehse, J.: Existence and alternative theorems for semi-coercive problems and applications to non-linear elliptic equations. SFB-Preprint 175. Universität Bonn

  4. Frehse, J.: A Landesman-Lazer alternative theorem for a class of optimization problems

  5. Fucik, S.: Ranges of non-linear operators, Vols. I–V. Dept. of Mathematics Charles University Praha

  6. Hess, P.: On a class of strongly non-linear elliptic variational inequalities. Math. Ann.211, 289–297 (1974)

    Google Scholar 

  7. Hess, P.: On semi-coercive non-linear problems. Indiana Univ. Math. J.23, 645–654 (1974)

    Google Scholar 

  8. Hess, P.: Non-linear perturbations of linear elliptic and parabolic problems at resonance: existence of multiple solutions. To appear in Ann. Sc. Norm. Sup. Pisa

  9. Gaines, R. E., and Mawhin, J. L.: Coincidence degree and non-linear differential equations, pp. 134–165, Lecture Notes in Mathematics 568. Berlin, Heidelberg, New York: Springer 1977

    Google Scholar 

  10. Landesman, E. M., and Lazar, A. C.: Non-linear perturbations of linear elliptic boundary value problems at resonance. J. Math. Mech.19, 609–623 (1970)

    Google Scholar 

  11. Mawhin, J.: Landesman-Lazer's type problems for non-linear equations. Conference del Seminario di Matematica dell' Università di Bari. No. 147 (1977)

  12. Morrey, C. B., Jr.: Multiple integrals in the calculus of variations. Berlin, Heidelberg, New York: Springer 1966

    Google Scholar 

  13. Nečas, J.: On the range of non-linear operators with linear asymptotes which are not invertible. Comment. Math. Univ. Carolinae14, 63–72 (1973)

    Google Scholar 

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  1. Institut für Angewandte Mathematik der Universität, Beringstr. 4–6, D-5300, Bonn, Federal Republic of Germany

    Jens Frehse

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  1. Jens Frehse
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Frehse, J. Landesman-Lazer-alternative theorems for a class of nonlinear functional equations. Math. Ann. 238, 59–65 (1978). https://doi.org/10.1007/BF01351454

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