一类p(t)-Laplace系统周期解的多重性

Multiplicity of Periodic Solutions for a Class of p(t)-Laplacian Systems

利用变分原理研究p(t)-Laplace系统的周期解.当具有p--线性非线性项和部分周期位势时,根据极小极大方法中的广义鞍点定理,得到了系统多重周期解的存在性结果.

Using variational principle,the author studied periodic solutions for p（t）-Laplacian systems with p--linear nonlinearity and partially periodic potential.Some results for the existence of multiplicity of periodic solutions of the systems were obtained via generalized saddle point theorem in the minimax methods.