一类Choquard型拟线性Schrodinger方程解的存在性  

Existence of solutions for a class of quasilinear Schrodinger equations of Choquard type

作　　者：张晓静 贾高[1] ZHANG Xiaojing;JIA Gao(College of Science,University of Shanghai for Science and Technology,Shanghai 200093,China)

机构地区：[1]上海理工大学理学院,上海200093

出　　处：《上海理工大学学报》2020年第6期519-523,共5页Journal of University of Shanghai For Science and Technology

基　　金：国家自然科学基金资助项目(11171220)。

摘　　要：考虑一类Choquard型拟线性Schrodinger方程解的存在性。通过变量替换方法将该方程转化为半线性方程,利用山路定理和变分法证明了该方程在适当条件下非平凡解的存在性。The existence of solutions for a class of quasilinear Schrodinger equations of Choquard type was discussed.By the change of variables,the equation was transformed into a semilinear equation.Under appropriate conditions and by means of the mountain pass theorem as well as the variational method,the existence of the solution was proved.

关 键 词：拟线性Schrodinger方程 Choquard型 变分法 

分 类 号：O175[理学—数学]