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Landesman-Lazer Type Problems At An Eigenvalue Of Odd Multiplicity

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Abstract

This paper is concerned with sublinear perturbations of resonant linear problems (Landesman-Lazer problems). We establish some a priori bounds and use these together with Leray-Schauder continuation and bifurcation arguments to obtain extensions of some known results where the nonlinear perturbation terms are bounded.

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Authors and Affiliations

  1. Institute de Mathématique Pure et Appliquée, Université Catholique de Louvain, B-1348, Louvain-La-Neuve, Belgium

    Jean Mawhin

  2. Department of Mathematics, University of Utah, Salt Lake City, UT, 84112, USA

    Klaus Schmitt

Authors
  1. Jean Mawhin
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  2. Klaus Schmitt
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Additional information

Dedicated to Professor R. Reissig on the occasion of his 65th birthday

This work was supported by a National Science Foundation research grant.

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Mawhin, J., Schmitt, K. Landesman-Lazer Type Problems At An Eigenvalue Of Odd Multiplicity. Results. Math. 14, 138–146 (1988). https://doi.org/10.1007/BF03323221

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  • DOI: https://doi.org/10.1007/BF03323221

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