一类周期离散非线性Schrdinger系统的无穷多解  

Infinitely Many Solutions for a Class of Periodic Discrete Nonlinear Schrdinger Systems

作　　者：买阿丽[1] 孙国伟[1] 

机构地区：[1]运城学院应用数学系,山西运城044000

出　　处：《吉林大学学报（理学版）》2016年第4期797-800,共4页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11371313;11401121);山西省基础科学研究项目(批准号:2015021015);运城学院科研项目(批准号:YQ-2014011;XK-2014035)

摘　　要：利用临界点理论和广义Nehari流形方法,考虑一类周期离散非线性Schrdinger系统,得到了该类系统无穷多个几何不同解的存在性,并用该方法得到了单个周期离散Schrdinger方程解的多重性.By using critical point theory and the generalized Nehari manifold method, we considered a class of periodic discrete nonlinear Schrodinger systems and obtained the existence of infinitely many geometrically distinct solutions of the systems. Moreover, we used this method to obtain the multiplicity of solutions for single periodic discrete nonlinear Schrodinger equation.

关 键 词：离散向量Schrdinger方程 广义Nehari流形 临界点理论 驻波 

分 类 号：O175.1[理学—数学]