A Multiplicity Theorem for Double Resonant Periodic Problems

作者：Gasinski Leszek^*; Papageorgiou Nikolaos S

来源：Advanced Nonlinear Studies, 2010, 10(4): 819-836.

• Double resonance
• Morse theory
• critical groups
• multiple solutions
• mountain pass theorem

We consider semilinear periodic ordinary differential equations with the nonlinearity exhibiting double resonance at infinity in the spectral interval [lambda(k), lambda(k+1)], k >= 1. Using minimax methods based on the critical point theory together with Morse theory, we show that the problem has at least four nontrivial solutions.

• 出版日期2010-11