一类带阻尼项的p-Laplace系统的多重周期解

Multiplicity of Periodic Solutions for a Class of p-Laplacian Systems with Damped Vibration

利用临界点理论研究带阻尼项的p-Laplace系统周期解的存在性.在具有部分周期位势时,根据广义鞍点定理,得到系统多重周期解存在的充分条件,推广了已有文献的结果.

By using critical point theory, the authors studied the existence of periodic solutions for p-Laplace system with damped vibration and partially periodic potential. Some sufficient conditions for existence of multiplicity of periodic solutions are obtained via the generalized saddle point theorem, which generalize the existing resuls.