一类带扰动项的拟线性薛定谔方程的多解性  

Multiple Solutions for a Class of Quasilinear Schrodinger Equations with a Perturbed Term

作　　者：陈铭超 薛艳昉 Chen Mingchao;Xue Yanfang(College of Mathematics and Statistics,Xinyang Normal University,Henan Xinyang 464000)

机构地区：[1]信阳师范大学数学与统计学院,河南信阳464000

出　　处：《数学物理学报（A辑）》2024年第2期417-428,共12页Acta Mathematica Scientia

基　　金：国家自然科学基金(11901499);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非齐次拟线性薛定谔方程的多解性问题.通过山路定理和Ekeland变分原理,得到了该方程两个不同的解.所得结论是对此类拟线性方程已有结果的补充和推广.In this paper,we study the multiplicity of solutions for nonhomogeneous quasilinear Schrodinger equation with coercive potential.We obtain two different solutions by applying the Mountain Pass Theorem and Ekeland's Variational Principle.The results in this paper extend and complement previously known results to the quasilinear equations.

关 键 词：拟线性薛定谔方程 非齐次 山路定理 EKELAND变分原理 

分 类 号：O177.91[理学—数学]