含混合项的拟线性Schrodinger方程的正规化基态解  

Normalized Ground States for the Quasi-linear Schrodinger Equation with Combined Nonlinearities

作　　者：归坤明 陶虹杉 杨俊 Gui Kunming;Tao Hongshan;Yang Jun(School of Mathematics,South China University of Technology,Guangzhou 510640)

机构地区：[1]华南理工大学数学学院,广州510640

出　　处：《数学物理学报（A辑）》2023年第4期1062-1072,共11页Acta Mathematica Scientia

基　　金：广东省自然科学基金(2018A0303130196)。

摘　　要：该文研究了一类含混合项拟线性Schrodinger方程正规化基态解的存在性.推广了文献[1-2]中的结果,与他们研究的情形相比,该文中方程对应能量泛函的结构更加复杂.In this paper,we mainly investigate the existence of normalized ground states for the Schrodinger equation with combined nonlinearities.Our results extend those reported in[1,2].Compared with the case they studied,the structure of the energy function correspongding to the equation in this paper is more complex.

关 键 词：正规化解 拟线性Schrodinger方程 摄动法 

分 类 号：O175.29[理学—数学]