一类拟线性薛定谔方程的多解性  

Existence of Multiple Solutions for a Class of Quasilinear Schr?dinger Equations

作　　者：薛艳昉 朱新才 Yanfang Xue;Xincai Zhu(College of Mathematics and Statistics,Xinyang Normal University,Henan Xinyang 464000)

机构地区：[1]信阳师范学院数学与统计学院,河南信阳464000

出　　处：《数学物理学报（A辑）》2023年第1期93-100,共8页Acta Mathematica Scientia

基　　金：国家自然科学基金(11901499,11901500);信阳师范学院南湖学者青年项目(201912)。

摘　　要：该文研究了强制位势下拟线性薛定谔方程的多解性问题.首先利用变量代换,将拟线性方程转化成半线性方程,然后借助喷泉定理,得到了该方程的无穷多个高能量解.The multiple solutions are studied for a class of Quasilinear Schrodinger equation under the coercive potential.By using the method of variable substitution,the quasilinear problem is transformed into a semilinear one,then infinitely many high energy solutions of the equation are obtained with the help of the fountain theorem.

关 键 词：拟线性薛定谔方程 喷泉定理 强制位势 

分 类 号：O177.91[理学—数学]