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Multiple Nontrivial Solutions for Doubly Resonant Periodic Problems

Published online by Cambridge University Press:  20 November 2018

Nikolaos S. Papageorgiou  and
Vasile Staicu
Nikolaos S. Papageorgiou
Affiliation:
Department of Mathematics, National Technical University, Zografou Campus, Athens 15780, Greece e-mail: npapg@math.ntua.gr
Vasile Staicu
Affiliation:
Department of Mathematics, Aveiro University, 3810-193 Aveiro, Portugal e-mail: vasile@ua.pt
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Abstract

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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.

Keywords

34B15double resonancegeneralized LL-conditionLeray-Schauder degreeCerami condition
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 53 , Issue 2 , 01 June 2010 , pp. 347 - 359
Copyright
Copyright © Canadian Mathematical Society 2010

References

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