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Multiple Nontrivial Solutions for Doubly Resonant Periodic Problems

  Published:2009-12-04
 Printed: Jun 2010
  • Nikolaos S. Papageorgiou
  • Vasile Staicu
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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.
Keywords: double resonance, generalized LL-condition, Leray-Schauder degree, Cerami condition double resonance, generalized LL-condition, Leray-Schauder degree, Cerami condition
MSC Classifications: 34B15 show english descriptions Nonlinear boundary value problems 34B15 - Nonlinear boundary value problems
 

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