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 Multiple nontrivial solutions for doubly resonant periodic problems
Please use this identifier to cite or link to this item http://hdl.handle.net/10773/6940

title: Multiple nontrivial solutions for doubly resonant periodic problems
authors: Papageorgiou, Nikolaos S.
Staicu, Vasile
keywords: double resonance
generalized LL-condition
Leray-Schauder degree
Cerami condition
issue date: 2010
publisher: Canadian Mathematical Society
abstract: We consider semilinear periodic problems with the right-hand side nonlinearity satisfying a double resonance condition between two successive eigenvalues. Using a combination of variational and degree theoretic methods, we prove the existence of at least two nontrivial solutions.
URI: http://hdl.handle.net/10773/6940
ISSN: 0008-4395
publisher version/DOI: http://dx.doi.org/10.4153/CMB-2010-030-4
source: Canadian Mathematical Bulletin
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