Multiple Nontrivial Solutions for Doubly Resonant Periodic Problems

Canadian mathematical bulletin

关键词: double resonance;    generalized LL-condition;    Leray-Schauder degree;    Cerami condition;   

DOI  :  10.4153/CMB-2010-030-4

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

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.

【 授权许可】

Unknown