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Landesman-Lazer Type Problems At An Eigenvalue Of Odd Multiplicity |
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| Authors: | Jean Mawhin Klaus Schmitt |
| Affiliation: | 1. Institute de Mathématique Pure et Appliquée, Université Catholique de Louvain, B-1348, Louvain-La-Neuve, Belgium 2. Department of Mathematics, University of Utah, Salt Lake City, UT, 84112, USA |
| 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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