p-q-Laplace系统周期解的存在性

利用临界点理论研究了p-q-Laplace系统的周期边值问题.首先定义p-q-Laplace系统的弱周期解;其次给出一些引理;然后用临界点理论中的极小极大方法得到关于p-q-Laplace系统弱周期解的一个存在性定理;最后讨论了p-q-Laplace系统的相关问题.本文使用的主要方法是临界点理论中的环绕定理.

Existence Results of Periodic Solutions for p-q-Laplacian Systems

The periodic boundary value problem of p-q-Laplacian systems is studied by the critical point theory.First the weak periodic solutions of p-q-Laplacian systems is defined.Secondly, some lemmas are given.Then the existence theorem of the weak periodic solutions of the p-q-Laplacian systems is obtained by the minimax method of the critical point theory.Finally, the related problems of p-q-Laplacian systems are discussed.The main method used in this paper is linking methods in the critical point theory.