Geodesic
Multiple Nontrivial Solutions for Doubly Resonant Periodic Problems
Canadian mathematical bulletin, Tome 53 (2010) no. 2, pp. 347-359

Voir la notice de l'article provenant de la source Cambridge University Press

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.
DOI : 10.4153/CMB-2010-030-4
Mots-clés : 34B15, double resonance, generalized LL-condition, Leray-Schauder degree, Cerami condition 
Papageorgiou, Nikolaos S.; Staicu, Vasile. Multiple Nontrivial Solutions for Doubly Resonant Periodic Problems. Canadian mathematical bulletin, Tome 53 (2010) no. 2, pp. 347-359. doi: 10.4153/CMB-2010-030-4
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